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Holomorphic generalized functions [PDF]
, 1984 In the new theory of generalized functions introduced by one author we study the generalized functions G on open sets of Cn solutions of the equation ∂G = 0.
Galé, J.E, Colombeau, J.F
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Holomorphic extension of generalizations of Hp functions. II
International Journal of Mathematics and Mathematical Sciences, 1987 In a previous article we have obtained a holomorphic extension theorem (edge of the wedge theorem) concerning holomorphic functions in tubes in ℂn which generalize the Hardy Hp functions for the cases ...
Richard D. Carmichael
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Poincaré series for modular graph forms at depth two. Part II. Iterated integrals of cusp forms
Journal of High Energy Physics, 2022 We continue the analysis of modular invariant functions, subject to inhomogeneous Laplace eigenvalue equations, that were determined in terms of Poincaré series in a companion paper. The source term of the Laplace equation is a product of (derivatives of)
Daniele Dorigoni +2 more
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Weighted Composition Operators from H∞ to α,m-Bloch Space on Cartan-Hartogs Domain of the First Type
Journal of Function Spaces, 2022 Let YI be nonhomogeneous Cartan-Hartogs domain of the first type, ϕ a holomorphic self-map, and ψ a fixed holomorphic function on YI. We study the weighted composition operator ψCϕf=ψf∘ϕ for a function f holomorphic on YI.
Jianbing Su, Ziyi Zhang
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Preduals of spaces of vector-valued holomorphic functions [PDF]
, 2003 summary:For $U$ a balanced open subset of a Fréchet space $E$ and $F$ a dual-Banach space we introduce the topology $\tau _\gamma $ on the space ${\mathcal H}(U,F)$ of holomorphic functions from $U$ into $F$.
Boyd, Christopher
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SYMMETRIC REPRESENTATIONS OF HOLOMORPHIC FUNCTIONS
Проблемы анализа, 2018 In this article a class of symmetric functions is defined and used in some special representation of holomorphic functions. This representation plays an important role in transitions from concrete problems of projective description to equivalent problems
Shishkin A . V .
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Bulletin of Mathematical Sciences, 2023 Our goal in this paper is to establish some second main theorems for holomorphic mappings from angular domains into projective varieties intersecting arbitrary families of moving hypersurfaces with truncated counting functions. Our results generalize and
Si Duc Quang
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Bieberback functions and periodic distributions
International Journal of Mathematics and Mathematical Sciences, 1989 This paper deals with a correspondence between the periodic distributions and holomorphic functions. Periodic distributions whose “negative” Fourier coefficients are zero are characterised as the boundary values of certain holomorphic functions.
V. Karunakaran
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Weighted Composition Operators from H∞ to the Bloch Space on the Polydisc
Abstract and Applied Analysis, 2007 Let Dn be the unit polydisc of ℂn, ϕ(z)=(ϕ1(z),…,ϕn(z)) be a holomorphic self-map of Dn, and ψ(z) a holomorphic function on Dn. Let H(Dn) denote the space of all holomorphic functions with domain Dn, H∞(Dn) the space of all bounded holomorphic functions ...
Songxiao Li, Stevo Stevic
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Holomorphic Extensions of Orthogonal Projections Into Holomorphic Functions [PDF]
Proceedings of the American Mathematical Society, 1975 A condition is given which insures that the orthogonal projection of a function into the holomorphic functions is holomorphically extendible across a given boundary point.
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