Inversion and characterization of the hemispherical transform

DOI10.1007/BF02791259zbMath1054.44500MaRDI QIDQ1293560

Boris Rubin

Publication date: 1999

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Mathematics Subject Classification ID

Radon transform (44A12)

Related Items (16)

The Weyl principle on the Finsler frontier ⋮ Moment conditions and support theorems for Radon transforms on affine Grassmann manifolds ⋮ Smoothing of the singularities of functions whose integrals over the balls on a sphere are zero ⋮ Dual Radon transforms on affine Grassmann manifolds ⋮ The removability problem for functions with zero spherical means ⋮ The extension problem for functions with zero weighted spherical means ⋮ The λ-cosine transforms with odd kernel and the hemispherical transform ⋮ The cone-beam transform and spherical convolution operators ⋮ Adaptive estimation in the nonparametric random coefficients binary choice model by needlet thresholding ⋮ Strong negative type in spheres ⋮ On the kernel of a hemispherical Funk transformation and its local analogs ⋮ Trkalian fields: ray transforms and mini-twistors ⋮ Variational splines on Riemannian manifolds with applications to integral geometry ⋮ Cost sharing: The nondifferentiable case ⋮ Payoffs in nondifferentiable perfectly competitive TU economies ⋮ Relaxing Monotonicity in Endogenous Selection Models and Application to Surveys

Cites Work

• The Pompeiu problem revisited
• Generalized Riesz potentials and hypersingular integrals with homogeneous characteristics, their symbols and inversion
• The Radon transform
• \(L^ p\) estimates for Radon transforms in Euclidean and non-Euclidean spaces
• Pompeiu's problem on spaces of constant curvature
• Spherical Radon transform and related wavelet transforms
• Inversion of fractional integrals related to the spherical Radon transform
• Inversion of \(k\)-plane transforms via continuous wavelet transforms
• The Calderón reproducing formula, windowed \(X\)-ray transforms, and Radon transforms in \(L^p\)-spaces
• Singular integral operators generated by wavelet transforms
• Stability results for convex bodies and related spherical integral transformations
• Differential properties of the symbol of a Calderón-Zygmund singular integral operator
• Fractional integrals and wavelet transforms associated with Blaschke-Lévy representations on the sphere
• On the behavior of special classes of ultraspherical expansions. I, II
• Spherical harmonics
• Functions on a sphere with vanishing integrals over certain subspheres
• Spherical Harmonics and Integral Geometry on Projective Spaces
• Inversion of Radon transforms using wavelet transforms generated by wavelet measures
• Radon transform of Lp -functions on the Lobachevsky space and hyperbolic wavelet transforms
• Über eine Integralgleichung in der Theorie der konvexen Körper
• Convolutions with Kernels Having Singularities on a Sphere
• Limitierungsverfahren von Reihen mehrdimensionaler Kugelfunktionen und deren Saturationsverhalten
• Multipliers for Spherical Harmonic Expansions
• Freak Theorem About Functions on a Sphere
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