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- W2953145346 abstract "This paper outlines a covariant theory of operators defined on groups and homogeneous spaces. A systematic use of groups and their representations allows to obtain results of algebraic and analytical nature. The consideration is systematically illustrated by a representative collection of examples. Keywords: Lie groups and algebras, convolution operator, relative convolution, representation theory, pseudo-differential operators, PDO, singular integral operator, SIO, the Heisenberg group, SL(2,R), induced representation, Fock-Segal-Bargmann (FSB) representation, Shrodinger representation, covariant transform, contravariant transform, wavelet transform, square integrable representations, reproducing kernel, Fourier-Wigner transform, deformation quantization, Bergman space, Berezin's symbol, Wick symbol, Schwartz kernel, Toeplitz operator, operators of local type, Simonenko's localisation, reproducing kernel thesis, Dynin group, twisted convolution, star product, Groenewold-Moyal, composition operator." @default.
- W2953145346 created "2019-06-27" @default.
- W2953145346 creator A5073966020 @default.
- W2953145346 date "2013-04-09" @default.
- W2953145346 modified "2023-09-27" @default.
- W2953145346 title "Calculus of Operators: Covariant Transform and Relative Convolutions" @default.
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