Analytic functions
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Analytic functions by StanisЕ‚aw Saks

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Published by Polskiego Towarzystwa Matematycznego in Warszawa .
Written in English


  • Analytic functions.

Book details:

Edition Notes

Translated from the Polish.

StatementStanisław Saks and Antoni Zygmund ; translated by E.J. Scott.
SeriesMonografie matematyczne -- t.28
ContributionsZygmund, Antoni, 1900-
The Physical Object
Paginationv,451p. ;
Number of Pages451
ID Numbers
Open LibraryOL18223333M

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Book Description. The study of composition operators lies at the interface of analytic function theory and operator theory. Composition Operators on Spaces of Analytic Functions synthesizes the achievements of the past 25 years and brings into focus the broad outlines of the developing theory. This book covers the following topics: Field of Complex Numbers, Analytic Functions, The Complex Exponential, The Cauchy-Riemann Theorem, Cauchy’s Integral Formula, Power Series, Laurent’s Series and Isolated Singularities, Laplace Transforms, Prime Number Theorem, Convolution, Operational Calculus and Generalized Functions. 2 Analytic functions. Introduction. The main goal of this topic is to de ne and give some of the important properties of complex analytic functions. A function f(z) is analytic if it has a complex derivative f0(z). In general, the rules for computing derivatives will be familiar to you from single variable calculus. In mathematics, an analytic function is a function that is locally given by a convergent power exist both real analytic functions and complex analytic functions, categories that are similar in some ways, but different in ons of each type are infinitely differentiable, but complex analytic functions exhibit properties that do not hold generally for real analytic functions.