Results 21 to 30 of about 210 (150)
On the extension of holomorphic functions with growth conditions across analytic subvarieties.
Michigan Mathematical Journal, 1981 Joseph A. Cima, Ian Graham
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Journal of Mathematical Analysis and Applications, 2003 The setting for the author's integral representations is the following: \(D\)~is a bounded domain in~\(\mathbb C^2\) with smooth boundary; the variety~\(V\) is the zero set of a function holomorphic in a neighborhood of the closure of~\(D\), and \(V\) is assumed to meet the boundary of \(D\) transversely in a smooth curve; \(M\)~is the intersection \(V\
Telemachos Hatziafratis
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On the local and global non-characteristic Cauchy problem when the solutions are holomorphic functions or analytic functionals in the space variables [PDF]
Arkiv för Matematik, 1971 Jan Persson
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On properties of h-differentiable functions
Журнал Белорусского государственного университета: Математика, информатика, 2021 Research in the theory of functions of an h-complex variable is of interest in connection with existing applications in non-Euclidean geometry, theoretical mechanics, etc.
Vladislav A. Pavlovsky, Igor L. Vasiliev
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Aspects of univalence in holographic axion models
Journal of High Energy Physics, 2022 Univalent functions are complex, analytic (holomorphic) and injective functions that have been widely discussed in complex analysis. It was recently proposed that the stringent constraints that univalence imposes on the growth of functions combined with ...
Matteo Baggioli +3 more
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On some extension of Paley Wiener theorem
Concrete Operators, 2020 Paley Wiener theorem characterizes the class of functions which are Fourier transforms of ℂ∞ functions of compact support on ℝn by relating decay properties of those functions or distributions at infinity with analyticity of their Fourier transform.
N’Da Ettien Yves-Fernand, Kangni Kinvi
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An analog of the Cauchy formula for certain Beltrami equations
Учёные записки Казанского университета: Серия Физико-математические науки, 2019 The Beltrami differential equations are intrinsic generalizations of the Cauchy–Riemann system in complex analysis. Their solutions generalize holomorphic functions. As known, solutions to many problems of the complex analysis are based on application of
D.B. Katz, B.A. Kats
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Dimer models and conformal structures
Communications on Pure and Applied Mathematics, EarlyView.Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala +3 more
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Equivariant toric geometry and Euler–Maclaurin formulae
Communications on Pure and Applied Mathematics, EarlyView.Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell +3 more
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