Results 11 to 20 of about 2,481 (254)
A Further Remark on Cauchy´s Integral Theorem [PDF]
Civilizar, 2001 Se hace una observación sobre el teorema integral de Cauchy, destinada a resolver un desacuerdo acerca de una inquietud originada por L.V. Ahlfors.
Jairo A Charris
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Cauchy formula for vector-valued holomorphic functions and the Cauchy-Kovalevskaja theorem [PDF]
Analysis and Geometry in Metric SpacesWe establish a version of the Cauchy integral formula for holomorphic functions on a polidisc, with values in a complex Fréchet space X{\mathfrak{X}}. We prove a vector-valued analog to Weierstrass’s theorem on sequences of holomorphic functions fν∈O(Ω,X)
Barletta Elisabetta +2 more
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Formalizing the Divergence Theorem and the Cauchy Integral Formula in Lean [PDF]
, 2022 I formalize a version of the divergence theorem for a function on a rectangular box that does not assume regularity of individual partial derivatives, only Fréchet differentiability of the vector field and integrability of its divergence. Then I use this
Kudryashov, Yury
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Carleson measures, trees, extrapolation, and T(b) theorems [PDF]
, 2002 The theory of Carleson measures, stopping time arguments, and atomic decompositions has been well-established in harmonic analysis. More recent is the theory of phase space analysis from the point of view of wave packets on tiles, tree selection ...
S. Hofmann +9 more
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On the Cauchy-Goursat Theorem [PDF]
, 2010 : In this study, we have presented a simple and un-conventional proof of a basic but important Cauchy-Goursat theorem of complex integral calculus. The pivotal idea is to sub-divide the region bounded by the simple closed curve by infinitely large number
Faiz A.M. Elfak +5 more
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Efficient algorithms for integrals with highly oscillatory Hankel kernels
Results in Applied Mathematics, 2022 We present an efficient numerical algorithm for approximating integrals with highly oscillatory Hankel kernels. First, using the integral expression of the Hankel function, the integral is transformed into the integral of the trigonometric kernel, and ...
Qinghua Wu, Mengjun Sun
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, 2013 Cauchy-Goursat integral theorem is pivotal, fundamentally important, and well celebrated result in complex integral calculus. It requires analyticity of the function inside and on the boundary of the simple closed curve. In this study we will investigate
Elfaki, Faiz Ahmed Mohamed +1 more
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Monogenic Functions in a Finite-Dimensional Semi-Simple Commutative Algebra
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 We obtain a constructive description of monogenic functions taking values in a finite-dimensional semi-simple commutative algebra by means of holomorphic functions of the complex variable.
Plaksa S. A., Pukhtaievych R. P.
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On spectral question of the Cauchy-Riemann operator with homogeneous boundary value conditions
Қарағанды университетінің хабаршысы. Математика сериясы, 2018 In this paper we consider the eigenvalue problem for the Cauchy - Riemann operator with homogeneous Dirichlet type boundary conditions. The statement of the problem is justified to the theorem of M. Otelbaev and A.N.
N.S. Imanbaev, B.E. Kanguzhin
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A uniqueness result for the continuity equation in two dimensions [PDF]
, 2014 We characterize the autonomous, divergence-free vector fields $b$ on the plane such that the Cauchy problem for the continuity equation $\partial_t u + div(bu) = 0$ admits a unique bounded solution (in the weak sense) for every bounded initial datum; the
Crippa, Gianluca +8 more
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