Results 151 to 160 of about 47,158 (173)

On Morera's Theorem

The American Mathematical Monthly, 1957
(1957). On Morera's Theorem. The American Mathematical Monthly: Vol. 64, No. 5, pp. 323-331.
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A boundary Morera theorem

Journal of Geometric Analysis, 1993
Let \(D\) be a bounded open set in \(\mathbb{C}^ n\) with a \(C^ 2\) boundary \(\partial D\). If a continuous function \(f\) on \(\partial D\) may be continuously extended to \(D\) so that it is holomorphic on \(D\), then \(f\) has the Morera property with respect to every complex hyperplane \(\Lambda\) which meets \(\partial D\) transversely: \[ \int_{
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Morera theorems via microlocal analysis

Journal of Geometric Analysis, 1996
More general Morera theorems state that, if \(y(c)= \int_c fdz=0\) for certain subclasses of closed curves in a region, then \(f\) is holomorphic in that region. The present paper shows Morera theorems for circles passing through the origin, for circles of arbitrary radius and arbitrary center, and for translates of a fixed closed convex curve.
Globevnik, Josip, Quinto, Eric Todd
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Morera Type Theorems

2003
Throughout the following each point (x, y) ∊ ℝ2 is identified with the complex number \( z = x + iy = \rho e^{i\phi } \left( {\rho = \left| z \right|, - \pi < \phi \leqslant \pi } \right) \). Then the group of Euclidean motions of the complex plane can be identified with M(2). Let Ω be a domain in ℂ and let Hol(Ω) be the following set of functions from
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Local boundary Morera theorems

Mathematische Zeitschrift, 2000
The following boundary Morera theorem is known [\textit{J. Globevnik}, J. Geom. Anal. 3, No. 3, 269-277 (1993; Zbl 0785.32008)]: Let \(D\subset \mathbb{C}^N\), \(N\geq 2\) be a bounded open set with \(C^2\) boundary and \({\mathcal L}\) be an open connected set of affine complex hyperplanes in \(\mathbb{C}^N\) containing a hyperplane that misses ...
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One Boundary Version of Morera's Theorem

Siberian Mathematical Journal, 2001
Summary: Let \(D\) be a bounded domain in \(\mathbb C^n\) (\(n>1\)) with a connected smooth boundary \(\partial D\) and let \(f\) be a continuous function on \(\partial D\). We consider conditions (generalizing those of the Hartogs--Bochner theorem) for holomorphic extendibility of \(f\) to \(D\).
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On a boundary morera theorem for the classical domains

Siberian Mathematical Journal, 1999
The authors analyze a boundary version of Morera's theorem for classical domains. The starting point is Nagel and Rudin's result claiming that, if a function \(f\) is continuous on the boundary of a ball in \(\mathbb C^N\) and \[ \int_0^{2\pi}f(\psi(e^{i\varphi}, 0\dots, 0)) e^{i\varphi} d\varphi = 0 \] for all (holomorphic) automorphisms \(\psi\) of ...
Kosbergenov, S., Kytmanov, A. M., Myslivets, S. G.   +2 more
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An extremum problem related to Morera's theorem

Mathematical Notes, 1996
The following extension of Morera's theorem has been proved by \textit{C. Berenstein} and \textit{R. Gay} [J. Anal. Math. 52 133-166 (1989; Zbl 0668.30037)]: Let \(T \subseteq B_r= \{z\in\mathbb{C}:| z|
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Morera Giacinto

2010
Biografia scientifica, con l'elenco delle fonti d'archivio e delle fonti bibliografiche.
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Multidimensional Boundary Morera Theorems in Matrix Domains

Journal of Mathematical Sciences
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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