Fourier Analysis on Groups - (Dover Books on Mathematics) by Walter Rudin (Paperback)
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<p/><br></br><p><b> About the Book </b></p></br></br>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.<p/><br></br><p><b> Book Synopsis </b></p></br></br>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.<br>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 <i>L1(G), </i> Fourier analysis on ordered groups, and closed subalgebras of<i> L1(G).</i> Helpful Appendixes contain background information on topology and topological groups, Banach spaces and algebras, and measure theory<p/><br></br><p><b> From the Back Cover </b></p></br></br><p>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.<br>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 <i>L1(G), </i> Fourier analysis on ordered groups, and closed subalgebras of<i> L1(G).</i> Helpful Appendixes contain background information on topology and topological groups, Banach spaces and algebras, and measure theory.<br>Dover (2017) republication of the edition originally published by Interscience Publishers, New York, 1962. <br><b>www.doverpublications.com</b></p><p/><br></br><p><b> About the Author </b></p></br></br>Walter Rudin (1921-2010) was Professor of Mathematics at the University of Wisconsin, Madison. His best-known books include <i>Principles of Mathematical Analysis, Real and Complex Analysis, </i> and <i>Functional Analysis.</i>
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