Results 21 to 30 of about 3,149,967 (325)
On groups of formal diffeomorphisms of several complex variables
Anais da Academia Brasileira de Ciências, 2012 In this note we announce some results in the study of groups of formal or germs of analytic diffeomorphisms in several complex variables. Such groups are related to the study of the transverse structure and dynamics of Holomorphic foliations, via the ...
Mitchael Martelo, Bruno Scárdua
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On Functions of Several Complex Variables [PDF]
Transactions of the American Mathematical Society, 1916 By means of certain very simple examples it is possible to decide a number of questions relating to analytic functions of several complex variables, which have hitherto, so far as the author is aware, remained open. It is unsatisfactory, in stating an important theorem, not to know whether a given hypothesis is needed merely for convenience of proof ...
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The study of solutions for several systems of PDDEs with two complex variables
Demonstratio Mathematica, 2023 The purpose of this article is to describe the properties of the pair of solutions of several systems of Fermat-type partial differential difference equations.
Xu Yi Hui, Liu Xiao Lan, Xu Hong Yan
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Hardy’s inequality for functions of several complex variables [PDF]
, 2017 We obtain a generalization of Hardy’s inequality for functions in the Hardy space H1 (Bd), where Bd is the unit ball {z = (z1, …, zd) ∈ In particular, we construct a function φ on the set of d –dimensional multi-indices {n = (n1, …, nd) | ni ∈ {0 ...
Kamthorn Chailuek,, Vansak Sam,
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Duality of Large Fock Spaces in Several Complex Variables and Compact Localization Operators
Journal of Function Spaces, 2021 In this paper, dual spaces of large Fock spaces Fϕp with ...
Youqi Liu, Xiaofeng Wang
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Axioms, 2023 The paper deals with the problem of representation of Horn’s hypergeometric functions by branched continued fractions. The formal branched continued fraction expansions for three different Horn’s hypergeometric function H4 ratios are constructed.
Tamara Antonova +3 more
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Projections in several complex variables [PDF]
Mémoires de la Société mathématique de France, 2010 This work consists two parts. In the first part, we completely study the heat equation method of Menikoff-Sjostrand and apply it to the Kohn Laplacian defined on a compact orientable connected CR manifold. We then get the full asymptotic expansion of the Szego projection for (0,q) forms when the Levi formis nondegenerate.
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The residue calculus in several complex variables [PDF]
Transactions of the American Mathematical Society, 1974 Let W be a complex manifold and V an analytic variety. Then homology classes in W − V W - V which bound in V, called the geometric residues, are studied. In fact, a long exact sequence analogous to the Thom-Gysin sequence for nonsingular V is formed by a geometric construction. A geometric interpretation of the
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Degeneracy and finiteness theorems for meromorphic mappings in several complex variables [PDF]
, 2017 In this article, we prove that there are at most two meromorphic mappings of $\mathbb C^m$ into $\mathbb P^n(\mathbb C)\ (n\geqslant 2)$ sharing $2n+2$ hyperplanes in general position regardless of multiplicity, where all zeros with multiplicities more ...
Quang, Si Duc
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Kernel convergence and biholomorphic mappings in several complex variables
International Journal of Mathematics and Mathematical Sciences, 2003 We deal with kernel convergence of domains in ℂn which are biholomorphically equivalent to the unit ball B. We also prove that there is an equivalence between the convergence on compact sets of biholomorphic mappings on B, which satisfy a growth theorem,
Gabriela Kohr
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