A First Course in Harmonic Analysis

Autori

• Anton Deitmar

Parametri

• 192 pagine
• 7 ore di lettura

• Matematica
• Scienza

Maggiori informazioni sul libro

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.

Lingua: Inglese

Pubblicato: 2005

(In brossura)