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- W4240050131 abstract "A series of the form , where is a sequence of positive integers for which inf n≥1 (λ n+1/λ n )>1 and λ−n =−λ n for all n ∈ ℕ, is called a lacunary series. We investigate a space of generalized functions βΛ such that each member of βΛ has a lacunary Fourier series representation. βΛ contains all lacunary functions and lacunary Schwartz distributions, as well as all lacunary hyperfunctions. We show that the space βΛ with Δ-convergence is a Fréchet space. We also show that if F ∈ βΛ is well behaved locally, then F is well behaved globally." @default.
- W4240050131 created "2022-05-12" @default.
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- W4240050131 date "2005-07-01" @default.
- W4240050131 modified "2023-09-26" @default.
- W4240050131 title "Lacunary boehmians" @default.
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- W4240050131 doi "https://doi.org/10.1080/10652460412331320340" @default.
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