The λ-cosine transforms, differential operators, and Funk transforms on Stiefel and Grassmann manifolds

Document Type

Article

Publication Date

12-3-2021

Abstract

We introduce a new family of invariant differential operators associated with λ-cosine and Funk-Radon transforms on Stiefel and Grassmann manifolds. These operators reduce the order of the λ-cosine transforms and yield new inversion formulas. Intermediate Funk-cosine transforms corresponding to integration over matrices of lower rank are studied. The main tools are polar decomposition and Fourier analysis on matrix space.

Publication Source (Journal or Book title)

Advances in Mathematics

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