Results 1 to 10 of about 430 (117)

Holomorphic Continuation of Functions Along a Fixed Direction (Survey)

Современная математика: Фундаментальные направления, 2022
In this article, we give an overview of the most significant and important results on holomorphic extensions of functions along a fixed direction. We discuss the following geometric questions of multidimensional complex analysis: • holomorphic extension ...
A. S. Sadullaev
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Analytic continuation of solutions of some nonlinear convolution partial differential equations [PDF]

Opuscula Mathematica, 2015
The paper considers a problem of analytic continuation of solutions of some nonlinear convolution partial differential equations which naturally appear in the summability theory of formal solutions of nonlinear partial differential equations.
Hidetoshi Tahara
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On the Connection between Spherical Laplace Transform and Non-Euclidean Fourier Analysis

Mathematics, 2020
We prove that, if the coefficients of a Fourier−Legendre expansion satisfy a suitable Hausdorff-type condition, then the series converges to a function which admits a holomorphic extension to a cut-plane. Next, we introduce a Laplace-type transform
Enrico De Micheli
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Modular factorization of superconformal indices

Journal of High Energy Physics, 2023
Superconformal indices of four-dimensional N $$ \mathcal{N} $$ = 1 gauge theories factorize into holomorphic blocks. We interpret this as a modular property resulting from the combined action of an SL(3, ℤ) and SL(2, ℤ) ⋉ ℤ 2 transformation.
Vishnu Jejjala, Yang Lei, Sam van Leuven, Wei Li   +3 more
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Extension Theorem for Complex Clifford Algebras-Valued Functions on Fractal Domains

Boundary Value Problems, 2010
Monogenic extension theorem of complex Clifford algebras-valued functions over a bounded domain with fractal boundary is obtained. The paper is dealing with the class of Hölder continuous functions.
Paul Bosch, Ricardo Abreu-Blaya, Juan Bory-Reyes   +2 more
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Representing Functions in H² on the Kepler Manifold via WPOAFD Based on the Rational Approximation of Holomorphic Functions

Mathematics, 2022
The central problem of this study is to represent any holomorphic and square integrable function on the Kepler manifold in the series form based on Fourier analysis.
Zeyuan Song, Zuoren Sun
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Holomorphic extension of generalizations of Hp functions. II

International Journal of Mathematics and Mathematical Sciences, 1987
In a previous article we have obtained a holomorphic extension theorem (edge of the wedge theorem) concerning holomorphic functions in tubes in ℂn which generalize the Hardy Hp functions for the cases ...
Richard D. Carmichael
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On the resurgent structure of quantum periods

SciPost Physics, 2023
Quantum periods appear in many contexts, from quantum mechanics to local mirror symmetry. They can be described in terms of topological string free energies and Wilson loops, in the so-called Nekrasov-Shatashvili limit.
Jie Gu, Marcos Mariño
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Holomorphic extension of generalizations of Hp functions

International Journal of Mathematics and Mathematical Sciences, 1985
In recent analysis we have defined and studied holomorphic functions in tubes in ℂn which generalize the Hardy Hp functions in tubes. In this paper we consider functions f(z), z=x+iy, which are holomorphic in the tube TC=ℝn+iC, where C is the finite ...
Richard D. Carmichael
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Higher-spin self-dual Yang-Mills and gravity from the twistor space

Journal of High Energy Physics, 2023
We lift the recently proposed theories of higher-spin self-dual Yang-Mills (SDYM) and gravity (SDGR) to the twistor space. We find that the most natural room for their twistor formulation is not in the projective, but in the full twistor space, which is ...
Yannick Herfray, Kirill Krasnov, Evgeny Skvortsov   +2 more
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