Inspired by a recent work about distribution frames, the definition of multiplier operator is extended in the rigged Hilbert spaces setting and a study of its main properties is carried on. In particular, conditions for the density of domain and boundedness are given. The case of Riesz distribution bases is examined in order to develop a symbolic calculus.

Corso, R., Tschinke, F. (2020). Some notes about distribution frame multipliers. In P. Boggiatto, T. Bruno, E. Cordero, H.G. Feichtinger, F. Nicola, A. Oliaro, et al. (a cura di), Landscapes of Time-Frequency Analysis, Vol.2 (pp. 103-122). Birkhäuser [10.1007/978-3-030-56005-8_6].

Some notes about distribution frame multipliers

Corso, Rosario
;
Tschinke, Francesco
2020

Abstract

Inspired by a recent work about distribution frames, the definition of multiplier operator is extended in the rigged Hilbert spaces setting and a study of its main properties is carried on. In particular, conditions for the density of domain and boundedness are given. The case of Riesz distribution bases is examined in order to develop a symbolic calculus.
Settore MAT/05 - Analisi Matematica
Corso, R., Tschinke, F. (2020). Some notes about distribution frame multipliers. In P. Boggiatto, T. Bruno, E. Cordero, H.G. Feichtinger, F. Nicola, A. Oliaro, et al. (a cura di), Landscapes of Time-Frequency Analysis, Vol.2 (pp. 103-122). Birkhäuser [10.1007/978-3-030-56005-8_6].
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10447/428833
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