Inversion of a Convolution Operator Associated with Spherical Means
From MaRDI portal
Publication:6183933
DOI10.46698/Z5526-4462-9472-GOpenAlexW4387104913MaRDI QIDQ6183933
Vitalii Vladimirovich Volchkov, Natal'Ya Petrovna Volchkova
Publication date: 23 January 2024
Published in: Владикавказский математический журнал (Search for Journal in Brave)
Full work available at URL: http://mathnet.ru/eng/vmj872
Convolution as an integral transform (44A35) Operations with distributions and generalized functions (46F10) Convolution, factorization for one variable harmonic analysis (42A85)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Reconstructing a function on the sphere from its means along vertical slices
- On functions with given spherical means on symmetric spaces
- Inversion of the local Pompeiu transform
- Several complex variables V. Complex analysis in partial differential equations and mathematical physics. Transl. from the Russian
- The analysis of linear partial differential operators. I: Distribution theory and Fourier analysis.
- Inversion of the local Pompeiu transformation on a quaternionic hyperbolic space.
- Inversion of the local Pompeiu transform in real and complex hyperbolic spaces: Case of two balls
- Inversion of the local Pompeiu transformation on Riemannian symmetric spaces of rank one
- Reconstruction of functions on the sphere from their integrals over hyperplane sections
- Recovering functions defined on the unit sphere by integration on a special family of sub-spheres
- Spectral synthesis and the Pompeiu problem
- Inversion de la transformation de pompéiu locale dans l'espace hyperbolique quaternionique – cas des deux boules
- Integral Geometry and Radon Transforms
- Offbeat Integral Geometry on Symmetric Spaces
- Harmonic Analysis of Mean Periodic Functions on Symmetric Spaces and the Heisenberg Group
- Recovering a function from its spherical means
- Inversion Theorems for the local Pompeiu transformation in the quaternion hyperbolic space
- Spherical means on two-point homogeneous spaces and applications
- DECONVOLUTION PROBLEM FOR INDICATORS OF SEGMENTS
This page was built for publication: Inversion of a Convolution Operator Associated with Spherical Means