A First Course in Harmonic Analysis

2. Auflage 2005
ISBN: 978-0-387-22837-2
Verlag: Springer

Buch, Englisch, 192 Seiten, Format (B × H): 154 mm x 233 mm, Gewicht: 354 g

Reihe: Universitext

This book provides an introduction to the central topics and techniques in harmonic analysis.  In contrast to the competitive literature available, this book is based on the Riemann integral and metric spaces, in lieu of the Lebesgue integral and abstract topology.  This edition has been revised to include two new chapters on distributions and the Heisenberg Group.   

Zielgruppe

Lower undergraduate

Autoren/Hrsg.

Deitmar, Anton

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Elementare Analysis und Allgemeine Begriffe
• Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik
• Mathematik | Informatik Mathematik Topologie Mengentheoretische Topologie

Inhaltsverzeichnis

Fourier Analysis.- Fourier Series.- Hilbert Spaces.- The Fourier Transform.- Distributions.- LCA Groups.- Finite Abelian Groups.- LCA Groups.- The Dual Group.- Plancherel Theorem.- Noncommutative Groups.- Matrix Groups.- The Representations of SU(2).- The Peter-Weyl Theorem.- The Heisenberg Group.

Über Autor(innen)

Professor Deitmar holds a Chair in Pure Mathematics at the University of Exeter, U.K. He is a former Heisenberg fellow and was awarded the main prize of the Japanese Association of Mathematical Sciences in 1998. In his leisure time he enjoys hiking in the mountains and practicing Aikido.