Results 11 to 20 of about 3,149,967 (325)

Several Complex Variables [PDF]

, 1977
Contains sections on Non compact complex manifolds, Differential geometry and complex analysis, Problems in approximation, Value distribution theory, Group representation and harmonic analysis, and Survey papers.
R. Wells
  +9 more sources

On the reflection principle in several complex variables [PDF]

Proceedings of the American Mathematical Society, 1978
The edge-of-the-wedge theorem is used to extend a biholomorphic map across a nondegenerate real analytic boundary in C n {{\mathbf {C}}^n} under some differentiability assumption at the boundary.
S. M. Webster
openaire   +2 more sources

Holonomic functions of several complex variables and singularities of anisotropic Ising n-fold integrals [PDF]

, 2012
Lattice statistical mechanics, often provides a natural (holonomic) framework to perform singularity analysis with several complex variables that would, in a general mathematical framework, be too complex, or could not be defined.
, Albertini G, Alcaraz F C, Almkvist G, Almkvist G, Almkvist G, Almkvist G van Enckevort C van Straten D Zudilin W, André Y, Anglès d’ Auriac J-C, Anglès d’ Auriac J-C, Appell P, Assis M, Assis M, Barkatou M A Cluzeau T Bacha C El Weil J-A, Batyrev V, Batyrev V V van Straten D, Bedford E, Bostan A, Bostan A, Bostan A, Bostan A Chyzak F Salvy B, Bouamra M, Boukraa S, Boukraa S, Boukraa S, Boukraa S, Boukraa S, Boukraa S, Cardy J L, Christol G, Cluzeau T, Eden R J, Fisher M E, Glasser M L, Hadamard J, Huber M, J-M Maillard, Jaekel M T, Jaekel M T, Kampé de Fériet J, Karlsson P W, Koutschan C, Lario J C, Lian B H Yau S-T, Maillard J-M, Maillard J-M, Maillard J-M, Maillard J-M, Maillard J-M, Maillard J-M, Maillard J-M, Maillard J-M, Maillard J-M, McCoy B M, Morra A, Nickel B, Nickel B, Nickel B, S Boukraa, S Hassani, Sacco J E, Sadykov T, Sato M, Selke W, Srivastava H M, Stephenson J, Stephenson J, van Saarloos W, Wang W Z, Wood D W, Wood D W, Wu F Y, Wu F Y, Zenine N, Zenine N, Zenine N   +75 more
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COMPLEX ANALYSIS IN ONE AND SEVERAL VARIABLES

Taiwanese Journal of Mathematics, 2000
This is a survey article concerning complex analysis, mostly in several complex variables. After introducing some notation, the author discusses in sections 2 and 3 domains of holomorphy, the notion of holomorphic convexity, and Hartogs extension theorem.
So-Chin Chen
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On the domains of convergence of the branched continued fraction expansion of ratio $H_4(a,d+1;c,d;\mathbf{z})/H_4(a,d+2;c,d+1;\mathbf{z})$

Researches in Mathematics, 2023
The paper considers the problem of establishing the convergence criteria of the branched continued fraction expansion of the ratio of Horn's hypergeometric functions $H_4$. To solve it, the technique of expanding the domain of convergence of the branched
R.I. Dmytryshyn, I.-A.V. Lutsiv, O.S. Bodnar   +2 more
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Properties of composite positive continuous functions in $\mathbb{C}^n$

Karpatsʹkì Matematičnì Publìkacìï, 2015
The properties of positive continuous functions with $Q^n_{\mathbf{b}}$ and $Q$ are investigated. We prove that some composite functions with $Q$ belong to class $Q^n_{\mathbf{b}}.$ A relation between functions with these classes are established.
A.I. Bandura
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Cauchy-type integrals in several complex variables [PDF]

, 2013
We present the theory of Cauchy-Fantappi\'e integral operators, with emphasis on the situation when the domain of integration, $D$, has minimal boundary regularity.
Lanzani, Loredana, Stein, Elias M.
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Harmonic Analysis Techniques in Several Complex Variables

Bruno Pini Mathematical Analysis Seminar, 2014
We give a survey of recent joint work with E.M. Stein (Princeton University) concerning the application of suitable versions of the T(1)-theorem technique to the study of orthogonal projections onto the Hardy and Bergman spaces of holomorphic functions ...
Loredana Lanzani
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On Pólya’s Theorem in several complex variables [PDF]

Banach Center Publications, 2015
Let $K$ be a compact set in $\mathbb{C}$, $f$ a function analytic in $\overline{\mathbb{C}}\smallsetminus K$ vanishing at $\infty $. Let $% f\left( z\right) =\sum_{k=0}^{\infty }a_{k}\ z^{-k-1}$ be its Taylor expansion at $\infty $, and $H_{s}\left( f\right) =\det \left( a_{k+l}\right) _{k,l=0}^{s}$ the sequence of Hankel determinants.
Vyacheslav Zakharyuta, Ozan Günyüz
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Spectral Domains in Several Complex Variables [PDF]

Rocky Mountain Journal of Mathematics, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Siqi Fu, Siqi Fu, Bernard Russo
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