Havin / Nikolski Commutative Harmonic Analysis II

Group Methods in Commutative Harmonic Analysis
Erscheinungsjahr 2012
ISBN: 978-3-642-58946-1
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 25, 328 Seiten, eBook

Reihe: Encyclopaedia of Mathematical Sciences

Classical harmonic analysis is an important part of modern physics and mathematics, comparable in its significance with calculus. Created in the 18th and 19th centuries as a distinct mathematical discipline it continued to develop, conquering new unexpected areas and producing impressive applications to a multitude of problems. It is widely understood that the explanation of this miraculous power stems from group theoretic ideas underlying practically everything in harmonic analysis. This book is an unusual combination of the general and abstract group theoretic approach with a wealth of very concrete topics attractive to everybody interested in mathematics. Mathematical literature on harmonic analysis abounds in books of more or less abstract or concrete kind, but the lucky combination as in this volume can hardly be found.

Zielgruppe

Research

Autoren/Hrsg.

Havin, V.P.

Nikolski, N. K.

Weitere Mitwirkende

Dynin, D.

Gurarii, V.P.

Dynin, S.

Inhaltsverzeichnis

1. Convolution and Translation in Classical Analysis.- 2. Invariant Integration and Harmonic Analysis on Locally Compact Abelian Groups.- References.- Author Index.