Entire Functions of Several Complex Variables

Idioma: inglés

Editorial: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, 1986

3540152962 / 9783540152965

Serie: Libro 25 de 184 - Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge/A Series of Modern Surveys in Mathematics

Librería: World of Books Inc, Montgomery, IL, Estados Unidos de AmericaWorld of Books Inc

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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.…

N° de ref. del artículo CIN3540152962G

Título
Entire Functions of Several Complex Variables
Autor
Pierre Lelong
Editorial
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Año de publicación
1986
Estado
Good
Encuadernación
Hardback
Idioma
inglés
ISBN 10
3540152962
ISBN 13
9783540152965
Serie
Libro 25 de 184: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge/A Series of Modern Surveys in Mathematics

World of Books Inc

Montgomery, IL, Estados Unidos de America

Vendedor de 4 estrellas

Vendedor de IberLibro desde 23 de marzo de 2026

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