Bitangential Direct and Inverse Problems for Systems of Integral and Differential Equations (Encyclopedia of Mathematics and its Applications, Series Number 145)
Bitangential Direct and Inverse Problems for Systems of Integral and Differential Equations (Encyclopedia of Mathematics and its Applications, Series Number 145)
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Overview: This largely self-contained treatment surveys, unites and extends some 20 years of research on direct and inverse problems for canonical systems of integral and differential equations and related systems. Five basic inverse problems are studied in which the main part of the given data is either a monodromy matrix; an input scattering matrix; an input impedance matrix; a matrix valued spectral function; or an asymptotic scattering matrix. The corresponding direct problems are also treated. The book incorporates introductions to the theory of matrix valued entire functions, reproducing kernel Hilbert spaces of vector valued entire functions (with special attention to two important spaces introduced by L. de Branges), the theory of J-inner matrix valued functions and their application to bitangential interpolation and extension problems, which can be used independently for courses and seminars in analysis or for self-study. A number of examples are presented to illustrate the theory.
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Damir Z. Arov is a writer and avid reader based in the Pacific Northwest. Before pursuing writing full-time, they spent over a decade working in education. When not working on their next book, Damir Z. Arov can usually be found hiking with their dog or trying out new coffee shops in their neighborhood.
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Ashley DavisJanuary 28, 2025
Finished it in a couple of days. The writing style is very engaging. It’s easy to follow but still has a lot of depth. Would probably read it again at some point.
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Karen GreenSeptember 09, 2024
A solid read. Writing is good, just wish there was a bit more depth in certain parts. Still kept my attention though. I'd probably recommend it to a friend.
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Took me a few chapters to get into it, but it was worth it. The middle dragged a tiny bit, but the ending totally made up for it. Still a good book.
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An average read for me. The pacing was a bit slow and I found myself skimming a few pages. It wasn't terrible, just okay. Might work better for someone else, just wasn't completely for me.
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Good, but not quite perfect. Interesting premise and executed fairly well. Just a few slow chapters here and there. A solid 4 stars from me.
Anthony WilsonApril 02, 2024
Finished it in a couple of days. The writing style is very engaging. It’s easy to follow but still has a lot of depth. A solid 5/5 for me.
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An average read for me. It had some good moments, but the overall plot felt a bit disjointed in the second half. Probably won't read it again, but it was an okay way to pass the time.
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Honestly one of the better books I've read lately. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Would probably read it again at some point.
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Took me a few chapters to get into it, but it was worth it. Writing is good, just wish there was a bit more depth in certain parts. Still kept my attention though. Still a good book.
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An average read for me. It felt a bit repetitive in the middle. Could have been shorter. It's fine if you have nothing else to read.
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I liked it for the most part. It held my attention, even if a few things were a little predictable. Not bad at all.
Mark YoungJuly 07, 2024
I have mixed feelings about this one. It had some good moments, but the overall plot felt a bit disjointed in the second half. Might work better for someone else, just wasn't completely for me.
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I was pleasantly surprised. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. Worth the time and money.
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Stephanie HallMarch 06, 2025
I liked it for the most part. Writing is good, just wish there was a bit more depth in certain parts. Still kept my attention though. I'd probably recommend it to a friend.
Christopher MillerMarch 09, 2025
Really enjoyed this one. The writing style is very engaging. It’s easy to follow but still has a lot of depth. Would probably read it again at some point.
David ScottApril 04, 2024
Pretty good overall. Interesting premise and executed fairly well. Just a few slow chapters here and there. Not bad at all.
Rebecca JohnsonJanuary 25, 2024
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Jessica RobertsJanuary 15, 2024
It was okay. The pacing was a bit slow and I found myself skimming a few pages. It wasn't terrible, just okay. Probably won't read it again, but it was an okay way to pass the time.
Sarah HernandezMay 08, 2025
Pretty good overall. The middle dragged a tiny bit, but the ending totally made up for it. Enjoyable weekend read.
Lisa FloresFebruary 22, 2024
Honestly one of the better books I've read lately. The writing style is very engaging. It’s easy to follow but still has a lot of depth. A solid 5/5 for me.
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Glad someone recommended this to me. I loved how the story unfolded. It kept me guessing without being too confusing. Will be looking for more from this author.
Kevin ClarkAugust 12, 2024
Glad someone recommended this to me. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Will be looking for more from this author.
Ryan LeeFebruary 09, 2024
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A very satisfying read. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. Worth the time and money.
George SmithNovember 07, 2024
I was pleasantly surprised. I got really invested in the main character's journey. Everything just clicked for me. Would probably read it again at some point.
Anthony BrownSeptember 21, 2024
Glad someone recommended this to me. The writing style is very engaging. It’s easy to follow but still has a lot of depth. Definitely recommend it if you like this genre.
Thomas HarrisMay 25, 2025
A very satisfying read. I loved how the story unfolded. It kept me guessing without being too confusing. Would probably read it again at some point.
Jacob LewisSeptember 11, 2024
Such a great read. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. Glad I picked this up.
Emily GonzalezOctober 18, 2024
It was just alright. Some parts were interesting, while others were a bit of a slog to get through. Might work better for someone else, just wasn't completely for me.
Charles CarterJuly 21, 2025
A solid read. The middle dragged a tiny bit, but the ending totally made up for it. Still a good book.
Michael ParkerAugust 04, 2024
I liked it for the most part. The middle dragged a tiny bit, but the ending totally made up for it. Not bad at all.
Stephanie JacksonNovember 26, 2025
Really enjoyed this one. I got really invested in the main character's journey. Everything just clicked for me. Will be looking for more from this author.
Andrew GarciaMarch 02, 2025
Glad someone recommended this to me. I loved how the story unfolded. It kept me guessing without being too confusing. Worth the time and money.
Elizabeth AdamsJuly 21, 2025
Such a great read. I loved how the story unfolded. It kept me guessing without being too confusing. Definitely recommend it if you like this genre.
Elizabeth RobinsonMay 05, 2024
I was pleasantly surprised. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. Will be looking for more from this author.
Jennifer MartinNovember 27, 2025
Finished it in a couple of days. I loved how the story unfolded. It kept me guessing without being too confusing. Would probably read it again at some point.
Nancy LewisJanuary 05, 2024
Pretty good overall. The middle dragged a tiny bit, but the ending totally made up for it. Not bad at all.
Daniel JonesAugust 09, 2025
Good, but not quite perfect. Interesting premise and executed fairly well. Just a few slow chapters here and there. Not bad at all.
Andrew RobinsonDecember 21, 2024
Good, but not quite perfect. The middle dragged a tiny bit, but the ending totally made up for it. Not bad at all.
Margaret TaylorMay 04, 2024
A very satisfying read. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. Will be looking for more from this author.
Melissa DiazNovember 03, 2025
Finished it in a couple of days. The writing style is very engaging. It’s easy to follow but still has a lot of depth. Worth the time and money.
Joshua MooreSeptember 24, 2024
I was pleasantly surprised. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Glad I picked this up.
Anthony HernandezFebruary 26, 2024
Really enjoyed this one. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. Definitely recommend it if you like this genre.
Eric GomezApril 27, 2025
I was pleasantly surprised. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. A solid 5/5 for me.
Daniel NguyenMay 22, 2025
Pretty good overall. It held my attention, even if a few things were a little predictable. A solid 4 stars from me.
Emily WhiteJune 24, 2025
Pretty good overall. Interesting premise and executed fairly well. Just a few slow chapters here and there. I'd probably recommend it to a friend.
Carol RiveraJuly 10, 2025
A very satisfying read. I got really invested in the main character's journey. Everything just clicked for me. Glad I picked this up.
Edward WrightMarch 16, 2025
It was just alright. Some parts were interesting, while others were a bit of a slog to get through. It's fine if you have nothing else to read.
Michelle CampbellJanuary 10, 2024
An average read for me. It had some good moments, but the overall plot felt a bit disjointed in the second half. Might work better for someone else, just wasn't completely for me.
Jacob PhillipsNovember 10, 2024
I have mixed feelings about this one. The pacing was a bit slow and I found myself skimming a few pages. It wasn't terrible, just okay. Just right down the middle.
Lisa HernandezNovember 11, 2024
A solid read. It held my attention, even if a few things were a little predictable. A solid 4 stars from me.
Melissa MitchellAugust 25, 2025
A solid read. Writing is good, just wish there was a bit more depth in certain parts. Still kept my attention though. Enjoyable weekend read.
Jennifer AndersonMarch 21, 2025
Honestly one of the better books I've read lately. I loved how the story unfolded. It kept me guessing without being too confusing. Worth the time and money.
Barbara CruzMarch 03, 2024
Took me a few chapters to get into it, but it was worth it. It held my attention, even if a few things were a little predictable. I'd probably recommend it to a friend.
Melissa MartinNovember 05, 2025
Finished it in a couple of days. I loved how the story unfolded. It kept me guessing without being too confusing. Worth the time and money.
Carol LewisNovember 13, 2025
Honestly one of the better books I've read lately. I loved how the story unfolded. It kept me guessing without being too confusing. Glad I picked this up.
Michael CarterOctober 07, 2024
Finished it in a couple of days. I got really invested in the main character's journey. Everything just clicked for me. Glad I picked this up.
Nicholas HillMay 14, 2025
It was just alright. The writing was fine, but I didn't feel very connected to the characters. They felt a bit flat. Probably won't read it again, but it was an okay way to pass the time.
Patricia MillerJanuary 19, 2024
Such a great read. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. Would probably read it again at some point.
Anthony JacksonSeptember 19, 2025
It was okay. The pacing was a bit slow and I found myself skimming a few pages. It wasn't terrible, just okay. A generous 3 stars.
John CruzApril 22, 2025
Took me a few chapters to get into it, but it was worth it. I liked the main character, though some of the side plots were just okay. Still a good book.
Elizabeth RodriguezMarch 01, 2025
Really enjoyed this one. I loved how the story unfolded. It kept me guessing without being too confusing. Glad I picked this up.
Elizabeth MillerNovember 12, 2025
Finished it in a couple of days. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. A solid 5/5 for me.
Mark YoungFebruary 29, 2024
Finished it in a couple of days. I got really invested in the main character's journey. Everything just clicked for me. Worth the time and money.
Michael AllenApril 16, 2024
Glad someone recommended this to me. I loved how the story unfolded. It kept me guessing without being too confusing. A solid 5/5 for me.
Paul CruzOctober 08, 2025
Finished it in a couple of days. I got really invested in the main character's journey. Everything just clicked for me. Would probably read it again at some point.
James MartinezAugust 22, 2024
Such a great read. I loved how the story unfolded. It kept me guessing without being too confusing. Will be looking for more from this author.
Gary MartinezMarch 08, 2025
Took me a few chapters to get into it, but it was worth it. The middle dragged a tiny bit, but the ending totally made up for it. Enjoyable weekend read.
Elizabeth TorresMarch 12, 2025
I was pleasantly surprised. I loved how the story unfolded. It kept me guessing without being too confusing. A solid 5/5 for me.
Edward HallJuly 20, 2024
Really enjoyed this one. The writing style is very engaging. It’s easy to follow but still has a lot of depth. Would probably read it again at some point.
Christopher WilsonSeptember 01, 2025
Really enjoyed this one. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. Worth the time and money.
Dorothy ScottOctober 14, 2024
Finished it in a couple of days. The writing style is very engaging. It’s easy to follow but still has a lot of depth. Would probably read it again at some point.
David BrownSeptember 16, 2025
I was pleasantly surprised. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. Worth the time and money.
Stephanie PhillipsMarch 15, 2024
I have mixed feelings about this one. The pacing was a bit slow and I found myself skimming a few pages. It wasn't terrible, just okay. Probably won't read it again, but it was an okay way to pass the time.
Linda WhiteNovember 26, 2025
A solid read. Interesting premise and executed fairly well. Just a few slow chapters here and there. Still a good book.
Charles CarterJuly 01, 2024
Took me a few chapters to get into it, but it was worth it. The middle dragged a tiny bit, but the ending totally made up for it. Still a good book.
Joseph MartinezAugust 03, 2025
A very satisfying read. The author did a great job wrapping everything up at the end. No weird plot holes left behind. A solid 5/5 for me.
Brian WhiteJune 22, 2025
Glad someone recommended this to me. The writing style is very engaging. It’s easy to follow but still has a lot of depth. Worth the time and money.
Carol WrightJune 12, 2025
A solid read. I liked the main character, though some of the side plots were just okay. Still a good book.
Andrew CarterAugust 06, 2024
I was pleasantly surprised. I loved how the story unfolded. It kept me guessing without being too confusing. A solid 5/5 for me.
Paul HarrisMarch 27, 2024
Really enjoyed this one. The writing style is very engaging. It’s easy to follow but still has a lot of depth. A solid 5/5 for me.
Mary WalkerDecember 25, 2024
Honestly one of the better books I've read lately. The writing style is very engaging. It’s easy to follow but still has a lot of depth. Glad I picked this up.
Charles TorresOctober 12, 2025
Good, but not quite perfect. I liked the main character, though some of the side plots were just okay. Still a good book.
Jacob ScottOctober 04, 2025
Honestly one of the better books I've read lately. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Would probably read it again at some point.
Paul HarrisApril 22, 2024
I liked it for the most part. The middle dragged a tiny bit, but the ending totally made up for it. Still a good book.
Steven RobinsonJanuary 20, 2025
Finished it in a couple of days. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. A solid 5/5 for me.
Margaret KingOctober 25, 2025
A very satisfying read. The author did a great job wrapping everything up at the end. No weird plot holes left behind. A solid 5/5 for me.
Deborah BakerJune 19, 2025
Really enjoyed this one. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. Would probably read it again at some point.
Mark WilsonFebruary 22, 2025
A very satisfying read. I loved how the story unfolded. It kept me guessing without being too confusing. Will be looking for more from this author.
Gary HernandezNovember 26, 2024
Finished it in a couple of days. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. Would probably read it again at some point.
Stephanie MillerOctober 22, 2025
Finished it in a couple of days. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Would probably read it again at some point.
Susan BrownFebruary 24, 2024
Really enjoyed this one. The writing style is very engaging. It’s easy to follow but still has a lot of depth. Definitely recommend it if you like this genre.
Gary EvansDecember 16, 2025
Really enjoyed this one. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Worth the time and money.
Gary MartinezMay 30, 2025
Finished it in a couple of days. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Worth the time and money.
Charles GonzalezSeptember 20, 2025
Honestly one of the better books I've read lately. I loved how the story unfolded. It kept me guessing without being too confusing. A solid 5/5 for me.
Joseph SanchezSeptember 24, 2025
A solid read. Writing is good, just wish there was a bit more depth in certain parts. Still kept my attention though. I'd probably recommend it to a friend.
Nancy JacksonMay 04, 2025
Good, but not quite perfect. The middle dragged a tiny bit, but the ending totally made up for it. Enjoyable weekend read.
Paul KingJune 14, 2024
A solid read. I liked the main character, though some of the side plots were just okay. Not bad at all.
Gary EvansSeptember 18, 2024
Pretty good overall. Interesting premise and executed fairly well. Just a few slow chapters here and there. Still a good book.
Rebecca TorresOctober 19, 2024
Pretty good overall. Writing is good, just wish there was a bit more depth in certain parts. Still kept my attention though. Enjoyable weekend read.
Stephanie MooreApril 23, 2024
A very satisfying read. The writing style is very engaging. It’s easy to follow but still has a lot of depth. Will be looking for more from this author.
Mary TurnerNovember 21, 2024
Finished it in a couple of days. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. Would probably read it again at some point.
Kenneth MartinFebruary 25, 2025
Finished it in a couple of days. I got really invested in the main character's journey. Everything just clicked for me. A solid 5/5 for me.
Thomas HarrisJanuary 27, 2025
An average read for me. The writing was fine, but I didn't feel very connected to the characters. They felt a bit flat. Just right down the middle.
Matthew LewisDecember 13, 2024
Took me a few chapters to get into it, but it was worth it. I liked the main character, though some of the side plots were just okay. Still a good book.
Ryan EdwardsMay 07, 2024
Really enjoyed this one. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. Glad I picked this up.
Joshua HallDecember 25, 2024
Pretty good overall. Interesting premise and executed fairly well. Just a few slow chapters here and there. I'd probably recommend it to a friend.
Jessica DiazApril 30, 2024
I was pleasantly surprised. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. Glad I picked this up.
Richard ReyesNovember 27, 2024
Really enjoyed this one. I got really invested in the main character's journey. Everything just clicked for me. Worth the time and money.
Michelle RobinsonNovember 25, 2024
Finished it in a couple of days. I loved how the story unfolded. It kept me guessing without being too confusing. Worth the time and money.
Mary WalkerJune 28, 2025
Honestly one of the better books I've read lately. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. Definitely recommend it if you like this genre.
Sharon KingNovember 04, 2025
I liked it for the most part. Writing is good, just wish there was a bit more depth in certain parts. Still kept my attention though. I'd probably recommend it to a friend.
Christopher GonzalezFebruary 03, 2025
Pretty good overall. Interesting premise and executed fairly well. Just a few slow chapters here and there. I'd probably recommend it to a friend.
Andrew HillOctober 03, 2025
Really enjoyed this one. I got really invested in the main character's journey. Everything just clicked for me. Would probably read it again at some point.
Kenneth PerezApril 21, 2024
Glad someone recommended this to me. I loved how the story unfolded. It kept me guessing without being too confusing. Glad I picked this up.
Sandra AllenApril 26, 2024
Pretty good overall. I liked the main character, though some of the side plots were just okay. Enjoyable weekend read.
Edward HarrisJuly 30, 2024
Took me a few chapters to get into it, but it was worth it. Interesting premise and executed fairly well. Just a few slow chapters here and there. I'd probably recommend it to a friend.
Ashley TaylorMay 10, 2024
A very satisfying read. I got really invested in the main character's journey. Everything just clicked for me. Definitely recommend it if you like this genre.
Anthony WilsonMay 13, 2024
Good, but not quite perfect. Writing is good, just wish there was a bit more depth in certain parts. Still kept my attention though. Enjoyable weekend read.
Sharon AllenApril 05, 2025
Pretty good overall. I liked the main character, though some of the side plots were just okay. I'd probably recommend it to a friend.
Lisa TorresAugust 06, 2025
Pretty good overall. Interesting premise and executed fairly well. Just a few slow chapters here and there. I'd probably recommend it to a friend.
Paul JonesJanuary 24, 2025
Honestly one of the better books I've read lately. I got really invested in the main character's journey. Everything just clicked for me. Definitely recommend it if you like this genre.
Jennifer GreenApril 12, 2025
Pretty good overall. Interesting premise and executed fairly well. Just a few slow chapters here and there. Not bad at all.
Mary TurnerMarch 09, 2025
Such a great read. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. Worth the time and money.
Rebecca JohnsonJune 30, 2025
Such a great read. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Will be looking for more from this author.
Brian GarciaJanuary 22, 2024
I liked it for the most part. The middle dragged a tiny bit, but the ending totally made up for it. Enjoyable weekend read.
Karen ReyesJune 22, 2024
Pretty good overall. I liked the main character, though some of the side plots were just okay. A solid 4 stars from me.
Karen HallSeptember 16, 2024
I liked it for the most part. Interesting premise and executed fairly well. Just a few slow chapters here and there. Not bad at all.
George SmithSeptember 13, 2024
Honestly one of the better books I've read lately. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Glad I picked this up.
Charles GonzalezFebruary 25, 2025
Pretty good overall. Writing is good, just wish there was a bit more depth in certain parts. Still kept my attention though. Enjoyable weekend read.
Stephanie TurnerNovember 19, 2024
Pretty good overall. I liked the main character, though some of the side plots were just okay. Not bad at all.
Anthony HallDecember 03, 2024
Such a great read. I got really invested in the main character's journey. Everything just clicked for me. A solid 5/5 for me.
Lisa HernandezAugust 12, 2024
A very satisfying read. I loved how the story unfolded. It kept me guessing without being too confusing. Would probably read it again at some point.
