A two-part volume containing a comprehensive description of the theory of entire and meromorphic functions of one complex variable and its applications, and a detailed review of recent investigations concerning the function-theoretical pecularities of polyanalytic functions (boundary behaviour, value distributions, degeneration, uniqueness etc).

This book is de voted to some topical prob lems and various applica tions of Operator Theory and to its interplay with many other fields of analysis as modern approximation the ory, theory of dynamic sys tems, harmonic analysis and complex analysis. It consists of 20 carefully selected sur veys and research-expository papers. Their scope gives a representative status report on the field drawing a pic ture of a rapidly developing domain of analysis. An abun dance of references completes the picture. All papers included in the volume originate from lectures delivered at the l1th edition of the...

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...