Title of article
Integral Geometry on Grassmann Manifolds and Calculus of Invariant Differential Operators
Author/Authors
Kakehi، نويسنده , , Tomoyuki، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 1999
Pages
45
From page
1
To page
45
Abstract
In this paper, we mainly deal with two problems in integral geometry, the range characterizations and construction of inversion formulas for Radon transforms on higher rank Grassmann manifolds. The results will be described explicitly in terms of invariant differential operators. We will also study the harmonic analysis on Grassmann manifolds, using the method of integral geometry. In particular, we will give eigenvalue formulas and radial part formulas for invariant differential operators.
Keywords
Inversion formula , radial part , range-characterization , eigenvalue formula , Grassmann manifold , integral geometry , invariant differential operator , Radon Transform
Journal title
Journal of Functional Analysis
Serial Year
1999
Journal title
Journal of Functional Analysis
Record number
1549508
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