Eric L. Grinberg

CONVOLUTIONS, TRANSFORMS, AND CONVEX BODIES

The paper studies convex bodies and star bodies in

The admissibility theorem for the hyperplane transform over a finite field

\Bbb R^n

Morera Theorems for Spheres through a Point in C N

by using Radon transforms on Grassmann manifolds,

GEOMETRIC APPLICATIONS OF FOURIER SERIES AND SPHERICAL HARMONICS (Encyclopedia of Mathematics and its Applications 61)

p

Isoperimetric inequalities and identities fork-dimensional cross-sections of convex bodies

-cosine transforms on the unit sphere, and convolutions on the rotation group of

Radon inversion on Grassmannians via Gårding-Gindikin fractional integrals

\Bbb R^n

Morera Theorems for Complex Manifolds

. It presents dual mixed volume characterizations of

Analysis, Geometry, Number Theory: The Mathematics of Leon Ehrenpreis

i

Integral Geometry and Tomography

-intersection bodies and

Infinitesimal Aspects of the Busemann-Petty Problem

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