UNCONDITIONAL BASES IN WEAKLY WEIGHTED SPACES OF ENTIRE FUNCTIONS

Isaev K. P.; Lutsenko A. V.; Yulmukhametov R. S.

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UNCONDITIONAL BASES IN WEAKLY WEIGHTED SPACES OF ENTIRE FUNCTIONS

机译：无条件基础在整个功能的弱加权空间中

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摘要

The existence of unconditional bases of reproducing kernels in Fock-type spaces is studied. Criteria for that are obtained in terms of the measure associated with the weight function.

机译：研究了在型空间中再现核的无条件基础。就与重量函数相关的度量而获得的标准。

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来源
《St. Petersburg mathematical journal》 |2019年第2期|共13页
作者
Isaev K. P.; Lutsenko A. V.; Yulmukhametov R. S.;
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作者单位

Russian Acad Sci Inst Math Comp Centrum Chernyshevsky St 112 Ufa 450008 Russia;

Bashkir State Univ Zaki Validi St 32 Ufa 450076 Russia;

Bashkir State Univ Zaki Validi St 32 Ufa 450076 Russia;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Hilbert spaces; entire functions; unconditional bases; reproducing kernels;

机译：希尔伯特空间;整个功能;无条件基础;再现核;

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专利

1. UNCONDITIONAL BASES IN WEAKLY WEIGHTED SPACES OF ENTIRE FUNCTIONS [J] . Isaev K. P., Lutsenko A. V., Yulmukhametov R. S. St. Petersburg mathematical journal . 2019,第2期

机译：无条件基础在整个功能的弱加权空间中
2. Criterion of Weak Invertibility in Weighted L~p Spaces of Entire Fock-Type Functions [J] . Shamoyan F. A. Journal of Contemporary Mathematical Analysis . 2020,第5期

机译：整套型函数加权L〜P空间中弱可逆性的标准
3. On Hilbert Spaces of Entire Functions with Unconditional Bases of Reproducing Kernels [J] . Lobachevskii journal of mathematics . 2019,第9期

机译：在Hilbert的整个功能空间与再现核的无条件基础
4. LINEAR HULL OF EXPONENTIALS IN SOME SPACES OF ENTIRE FUNCTIONS OF SEVERAL COMPLEX VARIABLES [C] . LE HAI KHOI Beijing-International Conference on Several Complex Variables(SCV 2004, Beijing); 20041022-27; Beijing(CN) . 2004

机译：多个复变量的整函数的某些空间中的指数线性外壳
5. Hankel and Toeplitz operators on some weighted spaces of entire functions [D] . Lin, Peng 1996

机译：完整函数的某些加权空间上的Hankel和Toeplitz运算符
6. Weakly unconditionally Cauchy series and Fibonacci sequence spaces [O] . Ramazan Kama, Bilal Altay -1

机译：弱无条件柯西级数和斐波那契数列空间
7. Completeness conditions of systems of Bessel functions in weighted L2-spaces interms of entire functions [O] . Ruslan KHATS 2021

机译：贝塞尔函数系统的完整性条件在整个函数的加权L2空间中的函数
8. Marcinkiewicz-Zygmund Weak Laws of Large Numbers for Unconditional Random Elements in Banach Spaces [R] . Howell, J. O., Taylor, R. L. 1980

机译：Banach空间中无条件随机元素的marcinkiewicz-Zygmund弱大数定律

UNCONDITIONAL BASES IN WEAKLY WEIGHTED SPACES OF ENTIRE FUNCTIONS

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