Results 101 to 110 of about 5,162,686 (175)

Modular constraints on conformal field theories with currents

Journal of High Energy Physics, 2017
We study constraints coming from the modular invariance of the partition function of two-dimensional conformal field theories. We constrain the spectrum of CFTs in the presence of holomorphic and anti-holomorphic currents using the semi-definite ...
Jin-Beom Bae, Sungjay Lee, Jaewon Song
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Weighted holomorphic Besov spaces on the polydisk

Journal of Function Spaces and Applications, 2011
This work is an introduction of weighted Besov spaces of holomorphic functions on the polydisk. Let Un be the unit polydisk in Cn and S be the space of functions of regular variation.
Anahit V. Harutyunyan, Wolfgang Lusky
doaj   +1 more source

On the order of holomorphic and \(c\)-holomorphic functions

, 2007
Summary: In the first part of this paper, we prove that the Łojasiewicz exponent of a non-constant holomorphic germ \(f:(\mathbb C^m,0)\to (\mathbb C,0)\) is a good exponent for \(f\) coinciding with the order of vanishing of \(f\) at zero and the degree at zero of its cycle of zeros \(Z_f\).
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ON THE HYPERGEOMETRIC FUNCTION AND FAMILIES OF HOLOMORPHIC FUNCTIONS

Revue Roumaine Mathematiques Pures Appliquees
In this work, we examine one two-parameter family of sets consisting of functions holomorphic in the unit disk, previously investigated by several mathematicians. We focus on the set-theoretic properties of this family, identify the general form of filtrations within it, and discover that it is not a lattice.
Elin, Mark, Jacobzon, Fiana
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Holomorphic Convexity for General Function Algebras

, 1968
In previous papers (7; 8), we have investigated certain properties of general function algebras which may be regarded as generalizations or analogues of familiar results in the theory of analytic functions of several complex variables. This investigation
C. E. Rickart
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Some results on holomorphic generalized functions

, 2011
In this note, we present three independent results within generalized complex analysis (in the Colombeau sense). The first of them deals with non-removable singularities; we construct a generalized function u on an open subset Omega of C(n), which is not
Jorge Aragona, ARAGONA, Jorge
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Almost periodic divisors, holomorphic functions, and holomorphic mappings

Bulletin des Sciences Mathématiques, 2003
We prove that to each almost periodic (in the sense of distributions) divisor in a tube one can assign a first Chern class of a special line bundle over Bohr's compact set generated by the divisor such that the trivial cohomology class represents divisors of all almost periodic holomorphic functions on a tube.
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Chern classes for coherent sheaves [PDF]

We present in this paper a construction of Chern classes for a coherent sheaf S on a complex manifold X. In fact we construct classes Cp(S) in H2p(X, C), depending only on the smooth equivalence class of the sheaf S. and analytic classes CAp(S) in Hp(
Green, Howard Ivor
core  

On limits of sequences of holomorphic functions

Rocky Mountain Journal of Mathematics, 2013
one ...
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Multiply Universal Holomorphic Functions

Journal of Approximation Theory, 1997
The problem of the existence of so-called ``universal functions'' (compare W. Luh, Holomorphic monsters. [J. Approximation Theory 53, No. 2, 128-144 (1988; Zbl 0669.30020)] for the notations and the history of the topic) is generalized. The main result is the following: Let \({\mathcal O} \subset\mathbb{C}\), \({\mathcal O} \neq\mathbb{C}\), be an open
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