14 citations · 16 across the 6 of their papers we have counts for
6 papers
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…
An analogue of the Fuglede formula in integral geometry on matrix spaces
E. Ournycheva, B. Rubin
The well known formula of B. Fuglede expresses the mean value of the Radon k-plane transform on as a Riesz potential. We extend this formula to the space of real…
estimates of potentials with oscillating kernel
E. Ournycheva
estimates are obtained for oscillatory potentials $(K^\alphaf)(x)=\int\limits_{R^n}\frac{\exp(i|y|)}{|y|^{n-α}}f(x-y)dy$, , , whose symbol has a singul…
Characterization of anysotropic Liouville-type mixed spaces and its application
V. A. Nogin, E. E. Ournycheva
Within the framework of the method of hypersingular integrals we obtain a characterization of the anysotropic spaces . These spaces are defined to cons…