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Entire functions of several complex variables / Pierre Lelong, Lawrence Gruman
| Entire functions of several complex variables / Pierre Lelong, Lawrence Gruman |
| Autore | Lelong, Pierre |
| Pubbl/distr/stampa | Berlin, : Springer, 1986 |
| Descrizione fisica | XI, 270 p. ; 24 cm. |
| Altri autori (Persone) | Gruman, Lawrence |
| Soggetto topico |
32A22 - Nevanlinna theory; growth estimates; other inequalities of several complex variables [MSC 2020]
32A15 - Entire functions of several complex variables [MSC 2020] 32-XX - Several complex variables and analytic spaces [MSC 2020] |
| ISBN |
35-401-5296-2
8-3-642-70346-1 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-SUN0053702 |
Lelong, Pierre
|
||
| Berlin, : Springer, 1986 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Entire functions of several complex variables / Pierre Lelong, Lawrence Gruman
| Entire functions of several complex variables / Pierre Lelong, Lawrence Gruman |
| Autore | Lelong, Pierre |
| Pubbl/distr/stampa | Berlin, : Springer, 1986 |
| Descrizione fisica | XI, 270 p. ; 24 cm |
| Altri autori (Persone) | Gruman, Lawrence |
| Soggetto topico |
32A22 - Nevanlinna theory; growth estimates; other inequalities of several complex variables [MSC 2020]
32A15 - Entire functions of several complex variables [MSC 2020] 32-XX - Several complex variables and analytic spaces [MSC 2020] |
| Soggetto non controllato |
Analytic Number Theory
Approximation Area Boundary Element Methods Complex Analysis Equations Fréchet Spaces Functions Information Lelong Number theory Presentation Schwarz lemma Variables |
| ISBN | 978-36-427-0346-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0053702 |
|
Lelong, Pierre
|
||
| Berlin, : Springer, 1986 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Entire functions of several complex variables / Pierre Lelong, Lawrence Gruman
| Entire functions of several complex variables / Pierre Lelong, Lawrence Gruman |
| Autore | Lelong, Pierre |
| Pubbl/distr/stampa | Berlin, : Springer, 1986 |
| Descrizione fisica | XI, 270 p. ; 24 cm |
| Altri autori (Persone) | Gruman, Lawrence |
| Soggetto topico |
32A22 - Nevanlinna theory; growth estimates; other inequalities of several complex variables [MSC 2020]
32A15 - Entire functions of several complex variables [MSC 2020] 32-XX - Several complex variables and analytic spaces [MSC 2020] |
| Soggetto non controllato |
Analytic Number Theory
Approximation Area Boundary Element Methods Complex Analysis Equations Fréchet Spaces Functions Information Lelong Number theory Presentation Schwarz lemma Variables |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0263767 |
|
Lelong, Pierre
|
||
| Berlin, : Springer, 1986 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Entire functions of several complex variables / Pierre Lelong, Lawrence Gruman
| Entire functions of several complex variables / Pierre Lelong, Lawrence Gruman |
| Autore | Lelong, Pierre |
| Pubbl/distr/stampa | Berlin, : Springer, 1986 |
| Descrizione fisica | XI, 270 p. ; 24 cm |
| Altri autori (Persone) | Gruman, Lawrence |
| Soggetto topico |
32-XX - Several complex variables and analytic spaces [MSC 2020]
32A15 - Entire functions of several complex variables [MSC 2020] 32A22 - Nevanlinna theory; growth estimates; other inequalities of several complex variables [MSC 2020] |
| Soggetto non controllato |
Analytic Number Theory
Approximation Area Boundary Element Methods Complex Analysis Equations Fréchet Spaces Functions Information Lelong Number theory Presentations Schwarz lemma Variables |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 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. |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00263767 |
|
Lelong, Pierre
|
||
| Berlin, : Springer, 1986 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Entire functions of several complex variables / Pierre Lelong, Lawrence Gruman
| Entire functions of several complex variables / Pierre Lelong, Lawrence Gruman |
| Autore | Lelong, Pierre |
| Pubbl/distr/stampa | Berlin, : Springer, 1986 |
| Descrizione fisica | XI, 270 p. ; 24 cm |
| Altri autori (Persone) | Gruman, Lawrence |
| Soggetto topico |
32-XX - Several complex variables and analytic spaces [MSC 2020]
32A15 - Entire functions of several complex variables [MSC 2020] 32A22 - Nevanlinna theory; growth estimates; other inequalities of several complex variables [MSC 2020] |
| Soggetto non controllato |
Analytic Number Theory
Approximation Area Boundary Element Methods Complex Analysis Equations Fréchet Spaces Functions Information Lelong Number theory Presentations Schwarz lemma Variables |
| ISBN | 978-36-427-0346-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00053702 |
|
Lelong, Pierre
|
||
| Berlin, : Springer, 1986 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Functions of Completely Regular Growth / by L. I. Ronkin
| Functions of Completely Regular Growth / by L. I. Ronkin |
| Autore | Ronkin, Lev I. |
| Pubbl/distr/stampa | Dordrecht, : Springer, 1992 |
| Descrizione fisica | xii, 392 p. ; 24 cm |
| Soggetto topico |
30D15 - Special classes of entire functions Entire and meromorphic functions and growth estimates [MSC 2020]
31B05 - Harmonic, subharmonic, superharmonic functions in higher dimensions [MSC 2020] 32-XX - Several complex variables and analytic spaces [MSC 2020] 32A15 - Entire functions of several complex variables [MSC 2020] 32A22 - Nevanlinna theory; growth estimates; other inequalities of several complex variables [MSC 2020] 32H02 - Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables [MSC 2020] 42Bxx - Harmonic analysis in several variables [MSC 2020] 46F12 - Integral transforms in distribution spaces [MSC 2020] |
| Soggetto non controllato |
Addition
Behavior Boundary Element Methods Complex Analysis Convergence Development Distributions Finite Forms Fourier Transforms Mapping Mathematics Sets |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN00289795 |
|
Ronkin, Lev I.
|
||
| Dordrecht, : Springer, 1992 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
La Transformation de Fourier Complexe et L'Equation de Convolution / Chin-Cheng Chou
| La Transformation de Fourier Complexe et L'Equation de Convolution / Chin-Cheng Chou |
| Autore | Chou, Chin-Cheng |
| Pubbl/distr/stampa | Berlin, : Springer, 1973 |
| Descrizione fisica | ix, 137 p. ; 24 cm |
| Soggetto topico |
35R15 - PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) [MSC 2020]
46-XX - Functional analysis [MSC 2020] 42-XX - Harmonic analysis on Euclidean spaces [MSC 2020] 46F15 - Hyperfunctions, analytic functionals [MSC 2020] 32A25 - Integral representations; canonical kernels (Szegó, Bergman, etc.) [MSC 2020] 32A15 - Entire functions of several complex variables [MSC 2020] 44A35 - Convolution as an integral transform [MSC 2020] 42A85 - Convolution, factorization for one variable harmonic analysis [MSC 2020] |
| Soggetto non controllato |
Fourier
Fourier transformation |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | fre |
| Record Nr. | UNICAMPANIA-VAN0255838 |
|
Chou, Chin-Cheng
|
||
| Berlin, : Springer, 1973 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
La Transformation de Fourier Complexe et L'Equation de Convolution / Chin-Cheng Chou
| La Transformation de Fourier Complexe et L'Equation de Convolution / Chin-Cheng Chou |
| Autore | Chou, Chin-Cheng |
| Pubbl/distr/stampa | Berlin, : Springer, 1973 |
| Descrizione fisica | ix, 137 p. ; 24 cm |
| Soggetto topico |
32A15 - Entire functions of several complex variables [MSC 2020]
32A25 - Integral representations; canonical kernels (Szegó, Bergman, etc.) [MSC 2020] 35R15 - PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) [MSC 2020] 42-XX - Harmonic analysis on Euclidean spaces [MSC 2020] 42A85 - Convolution, factorization for one variable harmonic analysis [MSC 2020] 44A35 - Convolution as an integral transform [MSC 2020] 46-XX - Functional analysis [MSC 2020] 46F15 - Hyperfunctions, analytic functionals [MSC 2020] |
| Soggetto non controllato |
Fourier
Fourier transformation |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | fre |
| Record Nr. | UNICAMPANIA-VAN00255838 |
|
Chou, Chin-Cheng
|
||
| Berlin, : Springer, 1973 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Soggetto topico
-
32A15 - Entire functions of several complex variables [MSC 2020]
(8)
- 32-XX - Several complex variables and analytic spaces [MSC 2020] (6)
- 32A22 - Nevanlinna theory; growth estimates; other inequalities of several complex variables [MSC 2020] (6)
- 32A25 - Integral representations; canonical kernels (Szegó, Bergman, etc.) [MSC 2020] (2)
- 35R15 - PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) [MSC 2020] (2)