Please use this identifier to cite or link to this item: https://open.uns.ac.rs/handle/123456789/687
Title: Continuity properties of multilinear localization operators on modulation spaces
Authors: Teofanov, Nenad 
Issue Date: 1-Jan-2019
Journal: Applied and Numerical Harmonic Analysis
Abstract: © Springer Nature Switzerland AG 2019. We introduce multilinear localization operators in terms of the short-time Fourier transform and multilinear Weyl pseudodifferential operators. We prove that such localization operators are in fact Weyl pseudodifferential operators whose symbols are given by the convolution between the symbol of the localization operator and the multilinear Wigner transform. To obtain such interpretation, we use the kernel theorem for the Gelfand–Shilov space S (1) (ℝ d ) and its dual space of tempered ultra-distributions S(1)′(ℝ 2d ). Furthermore, we study the continuity properties of the multilinear localization operators on modulation spaces. Our results extend some known results when restricted to the linear case.
URI: https://open.uns.ac.rs/handle/123456789/687
ISSN: 22965009
DOI: 10.1007/978-3-030-05210-2_12
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