Commutative Harmonic Analysis II

Classical harmonic analysis is an important part of modern physics and mathematics, comparable in its significance with the 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. 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. This book will be very useful to a wide circle of readers, including mathematicians, theoretical physicists and engineers.