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检索条件"主题词=HOLOMORPHIC functions"
766 条 记 录,以下是1-10 订阅
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Optimal approximation of infinite-dimensional holomorphic functions II: Recovery from i.i.d. pointwise samples
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JOURNAL OF COMPLEXITY 2025年 89卷
作者: Adcock, Ben Dexter, Nick Moraga, Sebastian Simon Fraser Univ Dept Math 8888 Univ Dr Burnaby BC V5A 1S6 Canada Florida State Univ Dept Sci Comp 400 Dirac Sci Lib Tallahassee FL 32306 USA
Infinite-dimensional, holomorphic functions have been studied in detail over the last several decades, due to their relevance to parametric differential equations and computational uncertainty quantification. The appr... 详细信息
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Normality Criterion Concerning Total Derivativesof holomorphic functions in Cn
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COMPUTATIONAL METHODS AND FUNCTION THEORY 2025年 第2期25卷 349-361页
作者: Ahamed, Molla Basir Mandal, Sanju Jadavpur Univ Dept Math Kolkata 700032 W Bengal India
This paper continues investigation of conditions involving values shared by holomorphic functions and their total derivatives which imply the normality for a family of holomorphic functions concerning the total deriva... 详细信息
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Analyticity of Weighted Composition Semigroups on the Space of holomorphic functions
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BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY 2025年 第1期51卷 1-10页
作者: Chalishajar, Dimplekumar Somasundaram, Meena Sethuraman, Panayappan Virginia Mil Inst VMI Dept Appl Math 435 Mallory Hall Lexington VA 24450 USA KPR Inst Engn & Technol Dept Math Coimbatore 641407 Tamilnadu India Govt Arts Coll Dept Math Coimbatore 641018 Tamilnadu India
In this work, we analyze the weighted composition semigroup on the space of holomorphic functions by providing cocycles as its weights. We establish some conditions under which it is analytically extended from the pos... 详细信息
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holomorphic functions on Kahler-Ricci solitons
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JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES 2014年 第3期89卷 817-831页
作者: Munteanu, Ovidiu Wang, Jiaping Univ Connecticut Dept Math Storrs CT 06269 USA Univ Minnesota Sch Math Minneapolis MN 55455 USA
We establish Liouville-type results on complete Kahler manifolds admitting a real holomorphic gradient vector field. As an application, we conclude that a bounded holomorphic function on a shrinking gradient Kahler-Ri... 详细信息
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holomorphic functions and polynomial ideals on Banach spaces
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COLLECTANEA MATHEMATICA 2012年 第1期63卷 71-91页
作者: Carando, Daniel Dimant, Veronica Muro, Santiago Univ San Andres Dept Matemat Buenos Aires DF Argentina Univ Buenos Aires Fac Cs Exactas & Nat Dept Matemat RA-1428 Buenos Aires DF Argentina
Given A a multiplicative sequence of polynomial ideals, we consider the associated algebra of holomorphic functions of bounded type, H-bU(E). We prove that, under very natural conditions satisfied by many usual classe... 详细信息
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holomorphic functions WITH GROWTH-CONDITIONS
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TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 1975年 第MAY期206卷 395-406页
作者: PETERSEN, BE INST ADV STUDY SCH MATHPRINCETONNJ 08540
Abstract: Let $P$ be a $p \times q$ matrix of polynomials in $n$ complex variables. If $\Omega$ is a domain of holomorphy in ${{\mathbf {C}}^n}$ and $u$ is a $q$-tuple of holomorphic functions we show that the... 详细信息
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holomorphic functions in Generalized Cayley-Dickson Algebras
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ADVANCES IN APPLIED CLIFFORD ALGEBRAS 2015年 第1期25卷 95-112页
作者: Flaut, Cristina Shpakivskyi, Vitalii Ovidius Univ Fac Math & Comp Sci Constanta 900527 Romania Natl Acad Sci Ukraine Inst Math Dept Complex Anal & Potential Theory UA-01601 Kiev 4 Ukraine
In this paper we investigated some properties of holomorphic functions (belonging to the kernel of the Dirac operator) defined on domains of the real Cayley-Dickson algebras. For this purpose, we study first some prop... 详细信息
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holomorphic functions and vector bundles on coverings of projective varieties
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ASIAN JOURNAL OF MATHEMATICS 2005年 第3期9卷 295-314页
作者: Bogomolov, Fedor De Oliveira, Bruno NYU Courant Inst Math Sci New York NY 10003 USA Univ Miami Dept Math Coral Gables FL 33124 USA
Let X be a projective manifold, rho : (X) over bar -> X its universal covering and rho* : Vect(X) -> Vect((X) over tilde) the pullback map for the isomorphism classes of vector bundles. This article establishes ... 详细信息
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holomorphic functions with large cluster sets
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MATHEMATISCHE NACHRICHTEN 2021年 第7期294卷 1250-1261页
作者: Alves, Thiago R. Carando, Daniel Univ Fed Amazonas Inst Ciencias Exatas Dept Matemat BR-69077000 Manaus Amazonas Brazil Univ Buenos Aires Fac Cs Exactas & Nat Dept Matemat Buenos Aires DF Argentina IMAS UBA CONICET Buenos Aires DF Argentina
We study linear and algebraic structures in sets of bounded holomorphic functions on the ball which have large cluster sets at every possible point (i.e., every point on the sphere in several complex variables and eve... 详细信息
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holomorphic functions and quasiconformal mappings with smooth moduli
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ADVANCES IN MATHEMATICS 2004年 第1期187卷 146-172页
作者: Dyakonov, KM VA Steklov Math Inst St Petersburg Branch POMI St Petersburg 191011 Russia
We discuss the implication \f\ is an element of A(omega)(G) double right arrow f is an element of Lambda(omega)(G), where f is a holomorphic function (resp., a quasiconformal mapping) on a domain Gsubset ofC(n) (resp.... 详细信息
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