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Symmetries and Laplacians: Introduction to Harmonic Analysis, Group Representations and Applications (Dover Books on Mathematics)

Symmetries and Laplacians: Introduction to Harmonic Analysis, Group Representations and Applications

Penned By David Gurarie
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Symmetries and Laplacians: Introduction to Harmonic Analysis, Group Representations and Applications (Dover Books on Mathematics)

Symmetries and Laplacians: Introduction to Harmonic Analysis, Group Representations and Applications

Penned By David Gurarie
4.85 48,425 Ratings
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Editor's Note:
This introductory text examines concepts, ideas, results, and techniques related to symmetry groups and Laplacians. Its exposition is based largely on examples and applications of general theory. Topics include commutative harmonic analysis, representations of compact and finite groups, Lie groups, and the Heisenberg group and semidirect products. 1992 edition.

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Released January 1, 1992
Identifier (ISBN) 2354614
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David Gurarie writes contemporary fiction and has always been fascinated by character-driven stories. They hold a degree in English Literature and previously worked as an editor before transitioning to writing their own books. David Gurarie lives with their spouse and a very vocal rescue cat.

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Deborah Nguyen
Deborah Nguyen June 03, 2025
"Masterpiece from start to finish. The prose is exquisite. It’s accessible yet undeniably sophisticated. I am now a lifelong fan of this author."
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Mary Reyes
Mary Reyes May 18, 2025
"Took a moment to build, but the payoff was spectacular. A brilliant concept executed with flair. Just a few pacing choices I would change. A very distinguished novel."
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Margaret Robinson September 25, 2024
"I was completely blown away. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. An effortless 5 stars."
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"A very strong entry. It held my rapt attention, even when certain twists were telegraphed. A wonderful companion for a quiet weekend."
Edward Diaz
Edward Diaz October 18, 2024
"I was completely blown away. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. I am now a lifelong fan of this author."
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John Phillips August 04, 2024
"Honestly one of the most premium reading experiences lately. The prose is exquisite. It’s accessible yet undeniably sophisticated. An absolute must-read for connoisseurs of the genre."
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Elizabeth Martinez July 13, 2024
"Took a moment to build, but the payoff was spectacular. The middle had a deliberate pace, but the climax was phenomenal. A wonderful companion for a quiet weekend."
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"I was completely blown away. The author orchestrated a breathtaking finale. Truly a work of art. Worth every moment spent reading."
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"Honestly one of the most premium reading experiences lately. The prose is exquisite. It’s accessible yet undeniably sophisticated. A true literary gem."
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"Such a rich narrative. The author orchestrated a breathtaking finale. Truly a work of art. I will undoubtedly revisit this masterpiece."
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Richard Thompson June 21, 2024
"Such a rich narrative. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. I will undoubtedly revisit this masterpiece."
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"I was completely blown away. I became deeply invested in the protagonist's journey. A masterclass in storytelling. I am now a lifelong fan of this author."
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"Honestly one of the most premium reading experiences lately. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. A true literary gem."
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"A highly sophisticated read. It held my rapt attention, even when certain twists were telegraphed. A wonderful companion for a quiet weekend."
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"I thoroughly enjoyed the elegance of it. The middle had a deliberate pace, but the climax was phenomenal. I would highly recommend this to discerning readers."
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"Exceeded all my expectations. The author orchestrated a breathtaking finale. Truly a work of art. I will undoubtedly revisit this masterpiece."
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"Exceeded all my expectations. The author orchestrated a breathtaking finale. Truly a work of art. A true literary gem."
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William Mitchell October 12, 2024
"I find myself somewhat conflicted. Certain acts were fascinating, while others felt like a slight endeavor to complete. Suitable if your reading queue is empty."
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"Took a moment to build, but the payoff was spectacular. A brilliant concept executed with flair. Just a few pacing choices I would change. Quite impressive overall."
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"Exceeded all my expectations. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. An absolute must-read for connoisseurs of the genre."
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"Excellent, though slightly flawed. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. A wonderful companion for a quiet weekend."
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"I thoroughly enjoyed the elegance of it. It held my rapt attention, even when certain twists were telegraphed. A solid 4 stars from me."
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"Masterpiece from start to finish. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. I will undoubtedly revisit this masterpiece."
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"Exceeded all my expectations. I became deeply invested in the protagonist's journey. A masterclass in storytelling. An effortless 5 stars."
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"A profoundly satisfying read. The author orchestrated a breathtaking finale. Truly a work of art. An absolute must-read for connoisseurs of the genre."
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"Such a rich narrative. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. I will undoubtedly revisit this masterpiece."
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"Excellent, though slightly flawed. The middle had a deliberate pace, but the climax was phenomenal. A wonderful companion for a quiet weekend."
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"Absolutely brilliant. I adored how the story unfolded. It kept me captivated without sacrificing elegance. A true literary gem."
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"An acceptable diversion. It possessed moments of brilliance, but the narrative felt slightly disjointed ultimately. Unlikely to reread, but a reasonable expenditure of time."
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"Such a rich narrative. I adored how the story unfolded. It kept me captivated without sacrificing elegance. I will undoubtedly revisit this masterpiece."
Margaret Jones
Margaret Jones January 28, 2024
"An acceptable diversion. Certain acts were fascinating, while others felt like a slight endeavor to complete. Perhaps more aligned with a different audience's tastes."
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"Masterpiece from start to finish. I adored how the story unfolded. It kept me captivated without sacrificing elegance. I am now a lifelong fan of this author."
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William Anderson
William Anderson January 05, 2025
"Such a rich narrative. I adored how the story unfolded. It kept me captivated without sacrificing elegance. An absolute must-read for connoisseurs of the genre."
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"I thoroughly enjoyed the elegance of it. The protagonist was compelling, though some subplots felt slightly overshadowed. A wonderful companion for a quiet weekend."
Mary Collins
Mary Collins March 21, 2025
"Masterpiece from start to finish. The prose is exquisite. It’s accessible yet undeniably sophisticated. I am now a lifelong fan of this author."
Linda Martin
Linda Martin July 10, 2025
"A profoundly satisfying read. I adored how the story unfolded. It kept me captivated without sacrificing elegance. I am now a lifelong fan of this author."
Charles Perez
Charles Perez December 15, 2025
"I was completely blown away. I adored how the story unfolded. It kept me captivated without sacrificing elegance. A true literary gem."
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Nicholas Campbell January 14, 2025
"Honestly one of the most premium reading experiences lately. The prose is exquisite. It’s accessible yet undeniably sophisticated. A true literary gem."
Matthew Young
Matthew Young April 30, 2025
"Such a rich narrative. I became deeply invested in the protagonist's journey. A masterclass in storytelling. Worth every moment spent reading."
Susan White
Susan White April 21, 2025
"Took a moment to build, but the payoff was spectacular. A brilliant concept executed with flair. Just a few pacing choices I would change. A wonderful companion for a quiet weekend."
Cynthia Mitchell
Cynthia Mitchell July 06, 2024
"Not entirely to my refined tastes. It possessed moments of brilliance, but the narrative felt slightly disjointed ultimately. Unlikely to reread, but a reasonable expenditure of time."
Mary Allen
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"I was completely blown away. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. An effortless 5 stars."
Brian  Parker
Brian Parker March 27, 2024
"Absolutely brilliant. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. I will undoubtedly revisit this masterpiece."
Matthew Evans
Matthew Evans July 21, 2024
"Such a rich narrative. I became deeply invested in the protagonist's journey. A masterclass in storytelling. An effortless 5 stars."
Steven Edwards
Steven Edwards April 04, 2024
"Masterpiece from start to finish. The author orchestrated a breathtaking finale. Truly a work of art. Worth every moment spent reading."
Charles Ramirez
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"I was completely blown away. The author orchestrated a breathtaking finale. Truly a work of art. I am now a lifelong fan of this author."
Amanda Diaz
Amanda Diaz December 07, 2024
"Absolutely brilliant. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. An effortless 5 stars."
George Adams
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"Such a rich narrative. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. Worth every moment spent reading."
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"A profoundly satisfying read. The author orchestrated a breathtaking finale. Truly a work of art. A true literary gem."
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"A profoundly satisfying read. The author orchestrated a breathtaking finale. Truly a work of art. An absolute must-read for connoisseurs of the genre."
Linda Anderson
Linda Anderson March 28, 2025
"Honestly one of the most premium reading experiences lately. I adored how the story unfolded. It kept me captivated without sacrificing elegance. I will undoubtedly revisit this masterpiece."
William Williams
William Williams December 08, 2025
"Excellent, though slightly flawed. The middle had a deliberate pace, but the climax was phenomenal. A solid 4 stars from me."
Charles Harris
Charles Harris January 14, 2025
"Such a rich narrative. I adored how the story unfolded. It kept me captivated without sacrificing elegance. I will undoubtedly revisit this masterpiece."
Kimberly Robinson
Kimberly Robinson January 18, 2024
"It was adequate. The tempo was somewhat languid, and I found my mind wandering. Not poor, simply average. Unlikely to reread, but a reasonable expenditure of time."
Nicholas Hernandez
Nicholas Hernandez March 29, 2024
"Exceeded all my expectations. I became deeply invested in the protagonist's journey. A masterclass in storytelling. A true literary gem."
Steven Brown
Steven Brown January 02, 2025
"Exceeded all my expectations. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. An absolute must-read for connoisseurs of the genre."
Thomas Ramirez
Thomas Ramirez February 16, 2025
"I was completely blown away. I became deeply invested in the protagonist's journey. A masterclass in storytelling. I will undoubtedly revisit this masterpiece."
Mary Evans
Mary Evans July 12, 2024
"A highly sophisticated read. It held my rapt attention, even when certain twists were telegraphed. A wonderful companion for a quiet weekend."
Thomas Cruz
Thomas Cruz February 14, 2024
"Excellent, though slightly flawed. The protagonist was compelling, though some subplots felt slightly overshadowed. A very distinguished novel."
Nancy Johnson
Nancy Johnson February 24, 2024
"Masterpiece from start to finish. The prose is exquisite. It’s accessible yet undeniably sophisticated. A true literary gem."
Matthew Mitchell
Matthew Mitchell December 19, 2025
"A highly sophisticated read. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. I would highly recommend this to discerning readers."
Steven Wright
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"It was adequate. The prose was competent, yet the characters lacked the depth I usually seek. Perhaps more aligned with a different audience's tastes."
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Amanda Hernandez July 15, 2025
"Absolutely brilliant. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. An effortless 5 stars."
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"Exceeded all my expectations. I became deeply invested in the protagonist's journey. A masterclass in storytelling. An absolute must-read for connoisseurs of the genre."
Anthony Campbell
Anthony Campbell July 13, 2024
"Honestly one of the most premium reading experiences lately. I adored how the story unfolded. It kept me captivated without sacrificing elegance. I am now a lifelong fan of this author."
Jessica Jones
Jessica Jones November 14, 2024
"A very strong entry. The middle had a deliberate pace, but the climax was phenomenal. I would highly recommend this to discerning readers."
Nancy Thomas
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"A profoundly satisfying read. The author orchestrated a breathtaking finale. Truly a work of art. Worth every moment spent reading."
Amanda Williams
Amanda Williams May 26, 2024
"Such a rich narrative. The author orchestrated a breathtaking finale. Truly a work of art. I am now a lifelong fan of this author."
John Johnson
John Johnson February 25, 2025
"Masterpiece from start to finish. The author orchestrated a breathtaking finale. Truly a work of art. Worth every moment spent reading."
Elizabeth Martinez
Elizabeth Martinez December 14, 2024
"I was completely blown away. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. An absolute must-read for connoisseurs of the genre."
Nancy Taylor
Nancy Taylor April 14, 2025
"Not entirely to my refined tastes. The tempo was somewhat languid, and I found my mind wandering. Not poor, simply average. Unlikely to reread, but a reasonable expenditure of time."
Susan Reyes
Susan Reyes December 27, 2024
"A profoundly satisfying read. I became deeply invested in the protagonist's journey. A masterclass in storytelling. An absolute must-read for connoisseurs of the genre."
Linda Ramirez
Linda Ramirez March 24, 2025
"Absolutely brilliant. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. Worth every moment spent reading."
Melissa Smith
Melissa Smith January 19, 2025
"A very strong entry. A brilliant concept executed with flair. Just a few pacing choices I would change. A very distinguished novel."
Rebecca Brown
Rebecca Brown December 08, 2025
"Honestly one of the most premium reading experiences lately. The prose is exquisite. It’s accessible yet undeniably sophisticated. I will undoubtedly revisit this masterpiece."
Elizabeth Hernandez
Elizabeth Hernandez December 05, 2025
"Absolutely brilliant. I adored how the story unfolded. It kept me captivated without sacrificing elegance. A true literary gem."
Susan White
Susan White March 06, 2024
"I thoroughly enjoyed the elegance of it. The middle had a deliberate pace, but the climax was phenomenal. I would highly recommend this to discerning readers."
Daniel Anderson
Daniel Anderson February 24, 2024
"Absolutely brilliant. The author orchestrated a breathtaking finale. Truly a work of art. I will undoubtedly revisit this masterpiece."
Nicholas Nguyen
Nicholas Nguyen April 05, 2024
"I thoroughly enjoyed the elegance of it. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. A solid 4 stars from me."
Kimberly Martin
Kimberly Martin June 13, 2025
"Took a moment to build, but the payoff was spectacular. A brilliant concept executed with flair. Just a few pacing choices I would change. Quite impressive overall."
Rebecca Brown
Rebecca Brown April 27, 2025
"A very strong entry. A brilliant concept executed with flair. Just a few pacing choices I would change. A very distinguished novel."
Gary Perez
Gary Perez October 23, 2025
"A very strong entry. It held my rapt attention, even when certain twists were telegraphed. A wonderful companion for a quiet weekend."
Emily Anderson
Emily Anderson December 19, 2025
"Excellent, though slightly flawed. It held my rapt attention, even when certain twists were telegraphed. A solid 4 stars from me."
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Nicholas Campbell June 30, 2024
"A profoundly satisfying read. I adored how the story unfolded. It kept me captivated without sacrificing elegance. An effortless 5 stars."
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"A profoundly satisfying read. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. I will undoubtedly revisit this masterpiece."
Ashley Hernandez
Ashley Hernandez February 21, 2025
"I was completely blown away. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. I will undoubtedly revisit this masterpiece."
Lisa Flores
Lisa Flores October 05, 2025
"Absolutely brilliant. I adored how the story unfolded. It kept me captivated without sacrificing elegance. An absolute must-read for connoisseurs of the genre."
Susan Edwards
Susan Edwards March 27, 2025
"Excellent, though slightly flawed. It held my rapt attention, even when certain twists were telegraphed. A solid 4 stars from me."
Edward Diaz
Edward Diaz September 03, 2025
"Honestly one of the most premium reading experiences lately. The prose is exquisite. It’s accessible yet undeniably sophisticated. An effortless 5 stars."
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Ashley Thompson June 28, 2025
"I was completely blown away. The prose is exquisite. It’s accessible yet undeniably sophisticated. An effortless 5 stars."
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