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Commutative Harmonic Analysis II: Group Methods in Commutative Harmonic Analysis
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Catalogue Information
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Details
Dewey Class
515
Title
Commutative Harmonic Analysis II ([EBook]) : Group Methods in Commutative Harmonic Analysis / edited by V. P. Havin, N. K. Nikolski.
Added Personal Name
Havin, Viktor Petrovich , 1933-2015
Nikolski, N. K.
Other name(s)
SpringerLink (Online service)
Publication
Berlin, Heidelberg : Springer , 1998.
Physical Details
VIII, 328 pages : online resource.
Series
Encyclopaedia of mathematical sciences
0938-0396 ; ; 25
ISBN
9783642589461
Summary Note
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 (and still does), conquering new unexpected areas and producing impressive applications to a multitude of problems, old and new, ranging from arithmetic to optics, from geometry to quantum mechanics, not to mention analysis and differential equations. The power of group theoretic ideology is successfully illustrated by this wide range of topics. It is widely understood now that the explanation of this miraculous power stems from group theoretic ideas underlying practically everything in harmonic analysis. This volume 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 the present volume can hardly be found in any monograph. This book will be very useful to a wide circle of readers, including mathematicians, theoretical physicists and engineers.:
Contents note
1. Convolution and Translation in Classical Analysis -- 2. Invariant Integration and Harmonic Analysis on Locally Compact Abelian Groups -- References -- Author Index.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-3-642-58946-1
Links to Related Works
Subject References:
Analysis
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Analysis (Mathematics)
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Mathematical analysis
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Mathematics
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Authors:
editor
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Havin, Viktor Petrovich 1933-2015
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Nikolski, N. K.
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Corporate Authors:
SpringerLink (Online service)
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Series:
Encyclopaedia of mathematical sciences
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Classification:
515
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