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.
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