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"Entire functions of several complex variables" was published by Springer-Verlag in 1986 - Berlin, the book is classified in bibliography genre, it has 270 pages and the language of the book is English.


“Entire functions of several complex variables” Metadata:

  • Title: ➤  Entire functions of several complex variables
  • Author:
  • Language: English
  • Number of Pages: 270
  • Publisher: Springer-Verlag
  • Publish Date:
  • Publish Location: Berlin
  • Genres: bibliography
  • Dewey Decimal Classification: 515.9/4
  • Library of Congress Classification: QA353.E5 L44 1986

“Entire functions of several complex variables” Subjects and Themes:

Edition Specifications:

  • Number of Pages: xi, 270 p. ; 24 cm.
  • Pagination: xi, 270 p. ;

Edition Identifiers:

AI-generated Review of “Entire functions of several complex variables”:


"Entire functions of several complex variables" Table Of Contents:

  • 1- Measures of growth
  • 2- Local metric properties of zero sets
  • 3- The relationship between the growth of an entire function and the growth of its zero set
  • 4- Functions of regular growth
  • 5- Holomorphic mappings from C[superscript n] to C[superscript m]
  • 6- Application of entire functions in number theory
  • 7- the indicator of growth theorem
  • 8- nalytic functionals
  • 9- Convolution operators on linear spaces of entire functions.

"Entire functions of several complex variables" Description:

Harvard Library:

I - Entire functions of several complex variables constitute an important and original chapter in complex analysis. The study is often motivated by certain applications to specific problems in other areas of mathematics: partial differential equations via the Fourier-Laplace transformation and convolution operators, analytic number theory and problems of transcen­ dence, or approximation theory, just to name a few. What is important for these applications is to find solutions which satisfy certain growth conditions. The specific problem defines inherently a growth scale, and one seeks a solution of the problem which satisfies certain growth conditions on this scale, and sometimes solutions of minimal asymp­ totic growth or optimal solutions in some sense. For one complex variable the study of solutions with growth conditions forms the core of the classical theory of entire functions and, historically, the relationship between the number of zeros of an entire function f(z) of one complex variable and the growth of If I (or equivalently log If I) was the first example of a systematic study of growth conditions in a general setting. Problems with growth conditions on the solutions demand much more precise information than existence theorems. The correspondence between two scales of growth can be interpreted often as a correspondence between families of bounded sets in certain Frechet spaces. However, for applications it is of utmost importance to develop precise and explicit representations of the solutions.

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