Vector differential–difference operators of infinite order in spaces of entire functions of exponential type

被引：0

作者：

Gefter S.L. ^{[1
]}

Stulova T.E. ^{[1
]}

机构：

[1] Karazin Kharkiv National University, 4, pl. Svobody, Kharkiv

来源：

Journal of Mathematical Sciences | 2014年 / 196卷 / 4期

关键词：

Banach Space; Entire Function; Real Axis; Bounded Linear Operator; Formal Power Series;

D O I：

10.1007/s10958-014-1672-y

中图分类号：

学科分类号：

摘要：

We study vector differential-difference operators of infinite order in spaces of exponential type entire functions bounded on the real axis. These operators are used for constructing entire solutions to explicit and implicit linear inhomogeneous differential-difference equations in a Banach space. © 2014, Springer Science+Business Media New York.

引用

页码：515 / 523

页数：8

共 50 条

[1] Infinite order differential operators in spaces of entire functions
Kozitsky, Y
Oleszczuk, P
Wolowski, L
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 277 (02) : 423 - 437
[2] Integral Cauchy Type Representations of Infinite Order Differential Operators in Spaces of Exponential Type Entire Functions Bounded on the Real Axis
Stulova T.E.
[J]. Journal of Mathematical Sciences, 2014, 198 (6) : 828 - 834
[3] DIFFERENTIAL-OPERATORS OF INFINITE-ORDER IN SOME SPACES OF ENTIRE-FUNCTIONS
ODINOKOV, OV
[J]. RUSSIAN ACADEMY OF SCIENCES IZVESTIYA MATHEMATICS, 1994, 43 (02): : 347 - 361
[4] Integral representation of entire functions and differential operators of infinite order
Odinokov, OV
[J]. IZVESTIYA MATHEMATICS, 1995, 59 (04) : 839 - 846
[5] Infinite-order Differential Operators Acting on Entire Hyperholomorphic Functions
Alpay, D.
Colombo, F.
Pinton, S.
Sabadini, I.
Struppa, D. C.
[J]. JOURNAL OF GEOMETRIC ANALYSIS, 2021, 31 (10) : 9768 - 9799
[6] Infinite-order Differential Operators Acting on Entire Hyperholomorphic Functions
D. Alpay
F. Colombo
S. Pinton
I. Sabadini
D. C. Struppa
[J]. The Journal of Geometric Analysis, 2021, 31 : 9768 - 9799
[7] DIFFERENTIAL OPERATORS OF INFINITE-ORDER IN SPACES OF WHOLE FUNCTIONS
GRUMAN, L
[J]. BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE, 1974, (38): : 89 - 97
[8] Dynamics of Weighted Composition Operators on Spaces of Entire Functions of Exponential and Infraexponential Type
María J. Beltrán-Meneu
Enrique Jordá
[J]. Mediterranean Journal of Mathematics, 2021, 18
[9] Dynamics of Weighted Composition Operators on Spaces of Entire Functions of Exponential and Infraexponential Type
Beltran-Meneu, Maria J.
Jorda, Enrique
[J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2021, 18 (05)
[10] Entire Functions and Their High Order Difference Operators
Majumder, S.
Sarkar, N.
Pramanik, D.
[J]. JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2023, 58 (06): : 405 - 415

← 1 2 3 4 5 →