Offbeat Integral Geometry
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Publication:3871533
DOI10.2307/2321600zbMath0433.53048OpenAlexW4251716376MaRDI QIDQ3871533
Publication date: 1980
Published in: The American Mathematical Monthly (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2321600
Related Items (52)
Injectivity of the Pompeiu transform in the Heisenberg group ⋮ Spherical means and CR functions on the Heisenberg group ⋮ Morera and mean-value type theorems in the hyperbolic disk ⋮ Range description for a spherical mean transform on spaces of constant curvature ⋮ A local version of the two-circles theorem ⋮ Generalized Radon Transform and Lévy’s Brownian Motion, II ⋮ Some Remarks on the Pompeiu Problem for Groups ⋮ The final version of the mean value theorem for harmonic functions ⋮ The injectivity of the Pompeiu transform and \(L^ p\)-analogues of the Wiener-Tauberian theorem ⋮ New mean value theorems for polyanalytic functions ⋮ The two-sided Pompeiu problem for discrete groups ⋮ Method of analytic continuation for the inverse spherical mean transform in constant curvature spaces ⋮ Symmetry theorems for the overdetermined eigenvalue problems ⋮ Le problème de la deconvolution ⋮ The Pompeiu problem for groups ⋮ Propagation of boundary CR foliations and Morera type theorems for manifolds with attached analytic discs ⋮ Mean-value theorems for a class of polynomials ⋮ Rellich type identities for eigenvalue problems and application to the Pompeiu problem ⋮ Morera theorems via microlocal analysis ⋮ Mean value integral equations and the Helmholtz equation ⋮ Regular simplices, symmetric polynomials and the mean value property ⋮ The Pompeiu problem and discrete groups ⋮ ON ONE ZALCMAN PROBLEM FOR THE MEAN VALUE OPERATOR ⋮ Reconstruction of the Cauchy-Riemann operator by complex integration operators along circles ⋮ The mean-value property ⋮ On the injectivity of integral operators related to the Euler-Poisson-Darboux equation and shifted \(k\)-plane transforms ⋮ RECOVERING THE LAPLACIAN FROM CENTERED MEANS ON BALLS AND SPHERES OF FIXED RADIUS ⋮ An overdetermined Neumann problem in the unit disk ⋮ Unnamed Item ⋮ Analyticity on Rotation Invariant Families of Curves ⋮ Injectivity sets for spherical means on \(\mathbb{R}^n\) and on symmetric spaces ⋮ Polytopes and the mean value property ⋮ Convolution equations and the local Pompeiu property on symmetric spaces and on phase space associated to the Heisenberg group ⋮ Free boundary minimal surfaces and overdetermined boundary value problems ⋮ Two radius support theorem for the sphere transform ⋮ Symmetry results for overdetermined boundary value problems of nonlinear elliptic equations ⋮ CR foliations, the strip-problem and Globevnik-Stout conjecture ⋮ Microlocal Analysis in Tomography ⋮ Unnamed Item ⋮ A new result on the Pompeiu problem ⋮ The Pompeiu problem on locally symmetric spaces ⋮ A Morera type theorem for \(L^ 2\) functions in the Heisenberg group ⋮ Testing Analyticity on Rotation Invariant Families of Curves ⋮ Deformations of balls in Schiffer's conjecture for Riemannian symmetric spaces ⋮ Inversion of the local Pompeiu transform ⋮ Uniqueness theorems for some classes of functions with zero spherical means ⋮ Unnamed Item ⋮ Morera theorems for complex manifolds ⋮ The invertibility of rotation invariant Radon transforms ⋮ Pompeiu transforms on geodesic spheres in real analytic manifolds ⋮ Morera type theorems on the unit disc ⋮ Inversion of the spherical Radon transform on spheres through the origin using the regular Radon transform
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