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A First Course in Harmonic Analysis

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Anton Deitmar

Hodnocení knihy

4,3(7)Ohodnotit

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Počet stran: 192 stránek
Čas čtení: 7 hodin

Více o knize

Plancherel's theorem is explored in detail, showcasing its role in generalizing the completeness of Fourier series. The book delves into non-commutative harmonic analysis, beginning with matrix group analysis, Lie algebras, and the classification of SU(2) representations. It presents the Peter-Weyl theorem, which extends Fourier series completeness to compact non-commutative groups, and examines the Heisenberg group, illustrating how the regular representation decomposes as a direct integral. Acknowledgments highlight contributions from various scholars.

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A First Course in Harmonic Analysis, Anton Deitmar

Jazyk
Rok vydání: 2005
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Doručení

Platební metody

4,3

Velmi dobrá

7 Hodnocení

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Titul: A First Course in Harmonic Analysis
Jazyk: anglicky
Autoři: Anton Deitmar
Vydavatel: Springer Us
Rok vydání: 2005
Vazba: měkká
Počet stran: 192
ISBN13: 9780387228372
Štítky: Matematika, Věda
Hodnocení: 4,3 z 5
Anotace: Plancherel's theorem is explored in detail, showcasing its role in generalizing the completeness of Fourier series. The book delves into non-commutative harmonic analysis, beginning with matrix group analysis, Lie algebras, and the classification of SU(2) representations. It presents the Peter-Weyl theorem, which extends Fourier series completeness to compact non-commutative groups, and examines the Heisenberg group, illustrating how the regular representation decomposes as a direct integral. Acknowledgments highlight contributions from various scholars.