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Journal ArticleDOI

Analyticity and the Pompeiu problem

Lawrence Zalcman
- 01 Jan 1972 - 
- Vol. 47, Iss: 3, pp 237-254
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This article is published in Archive for Rational Mechanics and Analysis.The article was published on 1972-01-01. It has received 145 citations till now. The article focuses on the topics: Pompeiu problem.

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Citations
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Journal ArticleDOI

Injectivity Sets for the Radon Transform over Circles and Complete Systems of Radial Functions

TL;DR: A necessary and sufficient characterization of nodal sets for the heat and wave equation in the plane is given in this article, which is equivalent to inversion for the Radon transform on circles centered on restricted subsets of the plane.
Journal ArticleDOI

Spectral synthesis and the Pompeiu problem

TL;DR: In this article, the conditions générales d'utilisation (http://www.numdam.org/legal.php) are defined, i.e., the copie ou impression de ce fichier doit contenir la présente mention de copyright.
Book ChapterDOI

A Bibliographic Survey of the Pompeiu Problem

TL;DR: A compact set K ⊂ ℝ n is said to have the Pompeiu property (PP) if the only function is MathType!MTEF!2!1!+- % feaagaart1ev2aaatCvAUfKttLearuavP1wzZbItLDhis9wBH5garm % Wu51MyVXgaruWqVvNCPvMCaebbfv3ySLgzGueE0jxyaibaieYlf9ir % Veeu0
References
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Book

A treatise on the theory of Bessel functions

G. N. Watson
TL;DR: The tabulation of Bessel functions can be found in this paper, where the authors present a comprehensive survey of the Bessel coefficients before and after 1826, as well as their extensions.
Book

Theory Of The Integral

TL;DR: In this article, the integral in an abstract space is defined as the integral integral in the abstract space of the integral space of an abstract representation of a set of elements. But,
Book

Plane Waves and Spherical Means: Applied to Partial Differential Equations

Fritz John
TL;DR: In this article, the authors present a tract on the initial value problem for hyperbolic equations with multiple points having multiple points and define a fundamental solution for the Cauchy problem.