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- W2036517111 abstract "In their famous monograph on generalized functions Gelfand and Shilov introduce the function spaces WM, WΩ, and WMΩ. These spaces consist of C∞-functions and holomorphic functions, respectively, with growth behaviour specified by suitable convex functions M and Ω. In this paper we study the spaces WMMx, where Mx denotes Young's dual function corresponding to M. We characterize the Hermite expansion coefficients of the functions in WMMx, their Fourier transforms, Wigner distributions, and Bargmann transforms. In particular, we prove that WMMx = WM ∩ WMx." @default.
- W2036517111 created "2016-06-24" @default.
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- W2036517111 date "1990-11-01" @default.
- W2036517111 modified "2023-10-18" @default.
- W2036517111 title "Spaces of type W, growth of Hermite coefficients, Wigner distribution, and Bargmann transform" @default.
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- W2036517111 doi "https://doi.org/10.1016/0022-247x(90)90071-m" @default.
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