Extension of localisation operators to ultradistributional symbols with super-exponential growth

In the Gelfand–Shilov setting, the localisation operator A a φ 1 , φ 2 is equal to the Weyl operator whose symbol is the convolution of a with the Wigner transform of the windows φ 2 and φ 1 . We employ this fact to extend the definition of localisation operators to symbols a having very fast super-...

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Veröffentlicht in:	Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas Físicas y Naturales. Serie A, Matemáticas, 2022-10, Vol.116 (4), Article 172
Hauptverfasser:	Pilipović, Stevan, Prangoski, Bojan, Vučković, Ɖorđe
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Localization Mathematical and Computational Physics Mathematics Mathematics and Statistics Operators Original Paper Symbols Theoretical
Online-Zugang:	Volltext
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