Directional Short-Time Fourier Transform of Ultradistributions

Sanja Atanasova,Snježana Maksimović,Stevan Pilipović

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY（2021）

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摘要

We define and analyze the k -directional short-time Fourier transform and its synthesis operator over Gelfand–Shilov spaces 𝒮^α _β(ℝ^n) and 𝒮^α _β(ℝ^k+n) , respectively, and their duals. Also, we investigate directional regular sets and their complements—directional wave fronts, for elements of 𝒮^'α_α(ℝ^n) .

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关键词

k-Directional short-time Fourier transform,Ultradistributions,Wave front sets

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