Search Results - "functions of several complex variables"

Nil Bohr-sets and almost automorphy of higher order by Huang, Wen, Shao, Song, Ye, Xiangdong

“…Two closely related topics: higher order Bohr sets and higher order almost automorphy are investigated in this paper. Both of them are related to nilsystems…”
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Measure and Capacity of Wandering Domains in Gevrey Near-integrable Exact Symplectic Systems by Lazzarini, Laurent, Marco, Jean-Pierre, Sauzin, David

“…A wandering domain for a diffeomorphism We first prove that the measure (or the capacity) of these wandering domains is exponentially small, with an upper…”
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Cohomology of the Moduli Space of Cubic Threefolds and Its Smooth Models by Casalaina-Martin, Sebastian, Grushevsky, Samuel, Hulek, Klaus, Laza, Radu

“…We compute and compare the (intersection) cohomology of various natural geometric compactifications of the moduli space of cubic threefolds: the GIT…”
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Holomorphic Automorphic Forms and Cohomology by Bruggeman, Roelof, Choie, YoungJu, Diamantis, Nikolaos

“…We investigate the correspondence between holomorphic automorphic forms on the upper half-plane with complex weight and parabolic cocycles. For integral…”
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Weighted composition operators on weighted-type high-order growth spaces on the unit ball by Quang, Thai Thuan

“…In this paper, we propose and investigate a class of weighted-type high-order growth spaces Hω(n):={f∈H(B):supz∈B⁡ω(z)|R(n)f(z)|<∞} of holomorphic functions on…”
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Cancellation for Surfaces Revisited by Flenner, H., Kaliman, S., Zaidenberg, M.

“…The celebrated Zariski Cancellation Problem asks as to when the existence of an isomorphism If the cancellation does not hold then…”
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Szegő kernel asymptotics for high power of CR line bundles and Kodaira embedding theorems on CR manifolds by Hsiao, Chin-Yu

“…Let…”
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Local dynamics of non-invertible maps near normal surface singularities by Gignac, William, Ruggiero, Matteo

“…We study the problem of finding algebraically stable models for non-invertible holomorphic fixed point germs…”
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Weighted Bergman spaces induced by rapidly increasing weights by Pelaez, Jose Angel

“…This monograph is devoted to the study of the weighted Bergman space As to concrete objects to be studied, positive Borel measures…”
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The central role of Montel's theorem in complex function theory by Krantz, Steven G., Dovbush, Peter V.

“…We begin with some new characterizations of normal families. Then we shift gears to see that normal families lie at the basis of complex function theory…”
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New Complex Analytic Methods in the Study of Non-Orientable Minimal Surfaces in ℝⁿ by Alarcón, Antonio, Forstnerič, Franc, López, Francisco J.

“…The aim of this work is to adapt the complex analytic methods originating in modern Oka theory to the study of non-orientable conformal minimal surfaces in All…”
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Construction of solutions to PDEs using holomorphic functions of several variables by Shpakivskyi, Vitalii

“…The work develops Humbert's method of solving PDEs. It applies method for constructing solutions of the three-dimensional  Laplace, Helmholtz, and Poisson…”
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Explicit Arithmetic of Jacobians of Generalized Legendre Curves Over Global Function Fields by Berger, Lisa, Hall, Chris, Pannekoek, René, Park, Jennifer, Pries, Rachel, Sharif, Shahed, Silverberg, Alice, Ulmer, Douglas

“…We study the Jacobian…”
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Solutions of complex nonlinear functional equations including second order partial differential and difference in C^2 by Hong Yan Xu, Goutam Haldar

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Representation of Special Functions by Multidimensional A- and J-Fractions with Independent Variables by Dmytryshyn, Roman, Sharyn, Serhii

“…The paper deals with the problem of representing special functions by branched continued fractions, particularly multidimensional A- and J-fractions with…”
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On the Analytic Extension of Lauricella–Saran’s Hypergeometric Function FK to Symmetric Domains by Dmytryshyn, Roman, Goran, Vitaliy

“…In this paper, we consider the representation and extension of the analytic functions of three variables by special families of functions, namely branched…”
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Some new characterizations of the boundedness and compactness of weighted composition operators between Bloch-type spaces by Lam, Lien Vuong, Van Dai, Nguyen, Quang, Thai Thuan

“…Let ψ∈H(Bn) be the space of all holomorphic functions on the unit ball Bn of Cn and φ=(φ1,…,φn)∈S(Bn) the set of holomorphic self-maps of Bn. Let…”
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Representation of Some Ratios of Horn’s Hypergeometric Functions H7 by Continued Fractions by Antonova, Tamara, Dmytryshyn, Roman, Kril, Pavlo, Sharyn, Serhii

“…The paper deals with the problem of representation of Horn’s hypergeometric functions via continued fractions and branched continued fractions. We construct…”
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Characterizations of transcendental entire solutions of trinomial partial differential-difference equations in ℂ2 by Xu, Hong Yan, Haldar, Goutam

“…This study is devoted to exploring the existence and the precise form of finite-order transcendental entire solutions of second-order trinomial partial…”
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Generalization of Lohwater-Pommerenke's theorem by Dovbush, Piotr Vasilievich

“…In this paper, as an application of Zalcman's lemma in ℂn, we give a sufficient condition for normality of holomorphic functions of several complex variables,…”
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