ABEL - GONCHAROV PROBLEM IN KERNEL OF CONVOLUTION OPERATOR

doi:10.13108/2025-17-4-71

2025-12-01

PRE

Napalkov Jr, V. V. *

Nuyatov, A. A.

DOI：10.13108/2025-17-4-71

原文链接

原文求助

摘要

En 中文

在本工作中，我们证明了多重插值问题是可解的，并且作为推论，卷积算子核中的Abel Goncharov问题在卷积算子特征函数的零序列与节点（作为整函数的零点）位于复平面的某些角度内且节点为多重时也是可解的。

Keyword:

multiple interpolation

Abel Goncharov problem

convolution operator

entire functions

期刊

Ufa Mathematical Journal

IF:

0.4

论文数:

被引数:

机构

nizhny novgorod state technical university

学者数:

论文数: 11

被引数: 0

Russian Academy of Sciences

学者数:

6.9K

论文数: 2.6K

被引数: 1.3W

引用论文

The multipoint de la Vallée-Poussin problem for a convolution operator

Sbornik: Mathematics

IF0

2012-02-28

PREAI

Napalkov,Valentin V; Nuyatov,Andrey A

THE PROBLEM OF MULTIPLE INTERPOLATION IN THE HALF-PLANE IN THE CLASS OF ANALYTIC FUNCTIONS OF FINITE ORDER AND NORMAL TYPE

Russian Academy of Sciences. Sbornik Mathematics

IF0

1994-02-28

PREAI

Malyutin,K G

Multiple interpolation and extremal functions in the Bergman spaces

Journal d'Analyse Mathématique

IF0

2001-12-01

PREAI

Krosky,Mark; Schuster,Alexander P.

Differentialgleichungen unendlich hoher Ordnung mit konstanten Koeffizienten

Commentarii Mathematici Helvetici

IF0

1938-12-01

PREAI

Muggli,Hermann

Free multiple interpolation

Journal of Mathematical Sciences

IF0

2013-11-01

PREAI

Kotochigov,A. M.

Birkhoff Interpolation 伯克霍夫插值

SIAM Journal on Numerical Analysis

IF0

1971-03-01

PREAI

G. G. Lorentz; K. L. Zeller

Multipoint Vallée Poussin problem for convolution operators with nodes defined inside an angle

Theoretical and Mathematical Physics

IF0

2014-08-01

PREAI

Napalkov,V. V.; Nuyatov,A. A.

没有更多内容