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math.RT2011
Hypergroups and Hypergroup Algebras
Grigory L. Litvinov
The survey contains a brief description of the ideas, constructions, results, and prospects of the theory of hypergroups and generalized translation operators. Representations of h…
math.FA2011★ 3 cited
Approximation Properties of Locally Convex Spaces and the Problem of Uniqueness of the Trace of a Linear Operator
Grigory L. Litvinov
In the present article, it is proved that every nuclear operator in a locally convex space E has a well-defined trace if E possesses the approximation property. However, even if a…
math.FA2011
Integral geometry, hypergroups, and I.M. Gelfand's question
M. I. Graev, G. L. Litvinov
This note is an attempt to give an answer for the following old I.M. Gelfand's question: why some important problems of integral geometry (e.g., the Radon transform and others) are…