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Mat. Zametki, 2002 Volume 71, Issue 1, Pages 61–74 (Mi mzm328)

Relatively Closed Operators Associated to a Pair of Grassmannians

M. I. Graev

Scientific Research Institute for System Studies of RAS

Abstract: Relatively closed operators naturally arise in integral geometry when we look for local inversion formulas. In the present paper, we construct families of relatively closed operators for integral transformations associated to pairs of real Grassmannians. As a result, we obtain a description of all local inversion formulas for these transformations.

UDC: 517.43

Received: 31.08.2000

DOI: 10.4213/mzm328


 English version:
Mathematical Notes, 2002, 71:1, 56–67

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© Steklov Math. Inst. of RAS, 2024