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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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Eichler integrals and harmonic weak Maass forms [PDF]
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
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Analytic inversion of adjunction: L^2 extension theorems with gain [PDF]
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
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Bieberback functions and periodic distributions
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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SYMMETRIC REPRESENTATIONS OF HOLOMORPHIC FUNCTIONS
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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Residue currents associated with weakly holomorphic functions [PDF]
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
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Weighted Composition Operators from H∞ to the Bloch Space on the Polydisc
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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Gauge invariants and correlators in flavoured quiver gauge theories
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
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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
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.
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