14 citations · 17 across the 9 of their papers we have counts for
9 papers
On Y. Nievergelt's inversion formula for the Radon transform
Elena Ournycheva, Boris Rubin
We generalize Y. Nievergelt's inversion method for the Radon transform on lines in the 2-plane to the -plane Radon transform of continuous and functions on for all $…
Erdelyi-Kober integrals on the cone of positive definite matrices and Radon transforms on Grassmann manifolds
E. Ournycheva
We introduce bi-parametric fractional integrals of the Erdelyi-Kober type that generalize known Garding-Gindikin constructions associated to the cone of positive definite matrices.…
Composite Cosine Transforms
E. Ournycheva, B. Rubin
The cosine transforms of functions on the unit sphere play an important role in convex geometry, the Banach space theory, stochastic geometry and other areas. Their higher-rank gen…
The Composite Cosine Transform on the Stiefel Manifold and Generalized Zeta Integrals
E. Ournycheva, B. Rubin
We introduce a new integral transform $T^\lam f$, $\lam \in C^m$, on the Stiefel manifold of orthonormal -frames in which generalizes the $\lam$-cosine transform on the Gr…
Multiscaled wavelet transforms, ridgelet transforms, and Radon transforms on the space of matrices
G. Olafsson, E. Ournycheva, B. Rubin
Let be the space of real matrices which can be identified with the Euclidean space . We introduce continuous wavelet transforms on with a multivalued sc…
The Radon transform of functions of matrix argument
E. Ournycheva, B. Rubin
The monograph contains a systematic treatment of a circle of problems in analysis and integral geometry related to inversion of the Radon transform on the space of real rectangular…