This book introduces harmonic analysis at an undergraduate level. In doing so it covers Fourier analysis and paves the way for Poisson Summation Formula. Another central feature is that is makes the reader aware of the fact that both principal incarnations of Fourier theory, the Fourier series and the Fourier transform, are special cases of a more general theory arising in the context of locally compact abelian groups. The final goal of this book is to introduce the reader to the techniques used in harmonic analysis of noncommutative groups. These techniques are explained in the context of matrix groups as a principal example.
Reihe
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Maße
Höhe: 23.5 cm
Breite: 15.5 cm
Gewicht
ISBN-13
978-0-387-95375-5 (9780387953755)
DOI
10.1007/978-1-4757-3834-6
Schweitzer Klassifikation
* Fourier Series * Hilbert Spaces * The Fourier Transform * Finite Abelian Groups * LCA-groups * The Dual Group * The Plancheral Theorem * Matrix Groups * The Representations of SU(2) * The Peter-Weyl Theorem * The Riemann zeta function * Haar integration *
