Fourier Analysis on Groups (eBook)

Walter Rudin (Autor)

eBook Download: EPUB

2017
Dover Publications (Verlag)
978-0-486-82101-6 (ISBN)

Infos

Self-contained treatment by a master mathematical expositor ranges from introductory chapters on basic theorems of Fourier analysis and structure of locally compact Abelian groups to extensive appendixes on topology, topological groups, more. 1962 edition.

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Written by a master mathematical expositor, this classic text reflects the results of the intense period of research and development in the area of Fourier analysis in the decade preceding its first publication in 1962. The enduringly relevant treatment is geared toward advanced undergraduate and graduate students and has served as a fundamental resource for more than five decades.The self-contained text opens with an overview of the basic theorems of Fourier analysis and the structure of locally compact Abelian groups. Subsequent chapters explore idempotent measures, homomorphisms of group algebras, measures and Fourier transforms on thin sets, functions of Fourier transforms, closed ideals in L1(G), Fourier analysis on ordered groups, and closed subalgebras of L1(G). Helpful Appendixes contain background information on topology and topological groups, Banach spaces and algebras, and measure theory.

Autor

Walter Rudin (1921–2010) was Professor of Mathematics at the University of Wisconsin, Madison. His best-known books include Principles of Mathematical Analysis, Real and Complex Analysis, and Functional Analysis.

Inhalt

1. The Basic Theorems of Fourier Analysis 2. The Structure of Locally Compact Abelian Groups 3. Idempotent Measures 4. Homomorphisms of Group Algebras 5. Measures and Fourier Transforms on Thin Sets 6. Functions of Fourier Transforms 7. Closed Ideals in L1(G) 8. Fourier Analysis on Ordered Groups 9. Closed Subalgebras of L1(G) Appendices Bibliography List of Special Symbols Index

Produkt-Details

• Erscheint lt. Verlag: 19.4.2017
• Reihe/Serie: Dover Books on Mathematics
• Sprache: englisch
• Gewicht: 376 g
• Themenwelt: Mathematik / Informatik ► Mathematik
• Schlagworte: Abelian Groups • Banach Algebra • Banach space • Banach spaces • basic theorems • borel function • closed subalgebras of l1, Fourier TRansfordm • compact groups • contained treatment • explore idempotent • fourier analysis on ordered groups • Fourier-Stieltjes Transforms • functions of fourier transforms • group theory • Haar measure • Helson Sets • homomorphisms of group algebras • Kronecker sets • Mathematical Analysis • mathematical studies • Mathematics • measures and fourier transforms on thin sets • Non-fiction • Range Transformations • Sidon Sets • Stone-Weierstrass Property • Thin Sets • Topological Groups
• ISBN-10: 0-486-82101-3 / 0486821013
• ISBN-13: 978-0-486-82101-6 / 9780486821016