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Integral Geometry on Grassmann Manifolds and Calculus of Invariant Differential Operators

โœ Scribed by Tomoyuki Kakehi

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
320 KB
Volume
168
Category
Article
ISSN
0022-1236

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โœฆ Synopsis

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.

๐Ÿ“œ SIMILAR VOLUMES

Invariant differential operators on Gras
Invariant differential operators on Grassmann manifolds
โœ F Gonzalez; S Helgason ๐Ÿ“‚ Article ๐Ÿ“… 1986 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 433 KB

## Nofe udded in proof: Another proof of Lemma 4.1 was indicated to us by M. Ra'is.

General nth order differential spectral
General nth order differential spectral problem: General structure of the integrable equations, nonuniqueness of recursion operator, and gauge invariance: B. G. Konopelchenko and V. G. Dubrovsky. Institute of Nuclear Physics, 630090, Novosibirsk 90, U.S.S.R.
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