arXiv:2010.09020 Abstract | arXiv Analytics

arXiv:2010.09020 [math.FA]Abstract References Reviews Resources

Inequalities for the derivatives of the Radon transform on convex bodies

Published 2020-10-18Version 1

It has been proved that the sup-norm of the Radon transform of an arbitrary probability density on an origin-symmetric convex body of volume 1 is bounded from below by a positive constant depending only on the dimension. In this note we extend this result to the derivatives of the Radon transform. We also prove a comparison theorem for these derivatives.

Categories: math.FA, math.MG

Subjects: 44A12, 52A20

Keywords: radon transform, derivatives, inequalities, arbitrary probability density, origin-symmetric convex body

Related articles: Most relevant | Search more

arXiv:2312.16923 [math.FA] (Published 2023-12-28)

Radon transforms with small derivatives and distance inequalities for convex bodies

Julián Haddad, Alexander Koldobsky

arXiv:math/0406573 [math.FA] (Published 2004-06-28)

The Radon transform of functions of matrix argument

E. Ournycheva, B. Rubin

arXiv:math/0409100 [math.FA] (Published 2004-09-07)

Multiscaled wavelet transforms, ridgelet transforms, and Radon transforms on the space of matrices