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- W2239652819 abstract "We consider the counter images $$mathcal H_flat (mathbf R^{d})$$ and $$mathcal H_{0,flat }(mathbf R^{d})$$ of entire functions with exponential and almost exponential bounds, respectively, under the Bargmann transform, and we characterize them by estimates of powers of the harmonic oscillator. We also consider the Pilipović spaces $$varvec{mathcal S}_{! s}(mathbf R^{d})$$ and $$varvec{varSigma }_s(mathbf R^{d})$$ when $$0<s<1/2$$ and deduce their images under the Bargmann transform." @default.
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- W2239652819 date "2016-01-09" @default.
- W2239652819 modified "2023-09-25" @default.
- W2239652819 title "The Bargmann transform and powers of harmonic oscillator on Gelfand–Shilov subspaces" @default.
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- W2239652819 doi "https://doi.org/10.1007/s13398-015-0273-z" @default.
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