Results 21 to 30 of about 85,492 (193)

Value distribution theory on angular domains for holomorphic mappings and arbitrary families of moving hypersurfaces

open access: yesBulletin 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
doaj   +1 more source

Eichler integrals and harmonic weak Maass forms [PDF]

open access: yes, 2013
Recently, K. Bringmann, P. Guerzhoy, Z. Kent and K. Ono studied the connection between Eichler integrals and the holomorphic parts of harmonic weak Maass forms on the full modular group.
Choi, Dohoon   +2 more
core   +1 more source

Analytic inversion of adjunction: L^2 extension theorems with gain [PDF]

open access: yes, 2005
We establish new results on weighted $L^2$ extension of holomorphic top forms with values in a holomorphic line bundle, from a smooth hypersurface cut out by a holomorphic function.
McNeal, Jeffery D., Varolin, Dror
core   +3 more sources

Bieberback functions and periodic distributions

open access: yesInternational 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
doaj   +1 more source

SYMMETRIC REPRESENTATIONS OF HOLOMORPHIC FUNCTIONS

open access: yesПроблемы 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 .
doaj   +1 more source

Residue currents associated with weakly holomorphic functions [PDF]

open access: yes, 2012
We construct Coleff-Herrera products and Bochner-Martinelli type residue currents associated with a tuple $f$ of weakly holomorphic functions, and show that these currents satisfy basic properties from the (strongly) holomorphic case, as the ...
A. Dickenstein   +23 more
core   +2 more sources

Weighted Composition Operators from H∞ to the Bloch Space on the Polydisc

open access: yesAbstract 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
doaj   +1 more source

Gauge invariants and correlators in flavoured quiver gauge theories

open access: yesNuclear Physics B, 2016
In this paper we study the construction of holomorphic gauge invariant operators for general quiver gauge theories with flavour symmetries. Using a characterisation of the gauge invariants in terms of equivalence classes generated by permutation actions,
Paolo Mattioli, Sanjaye Ramgoolam
doaj   +1 more source

Finely holomorphic functions

open access: yesJournal of Functional Analysis, 1980
AbstractLet O(U) denote the finely harmonic functions on U a finely open subset of C such that ∂g∂z̄ = 0 almost surely on U. Define Af(K) to be those g in C(K) such that if K′ is the fine interior of K then g ¦K′ is in O(K). We prove that Af(K) is invariant under the Vitushkin localization operators, i.e., it is T-invariant.
openaire   +3 more sources

Monogenic Functions in a Finite-Dimensional Semi-Simple Commutative Algebra

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
We obtain a constructive description of monogenic functions taking values in a finite-dimensional semi-simple commutative algebra by means of holomorphic functions of the complex variable.
Plaksa S. A., Pukhtaievych R. P.
doaj   +1 more source

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