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A remark on the Schrödinger propagator on Wiener amalgam spaces
Author(s) -
Kato Tomoya,
Tomita Naohito
Publication year - 2019
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201700445
Subject(s) - propagator , mathematics , bounded function , amalgam (chemistry) , schrödinger's cat , mathematical analysis , pure mathematics , mathematical physics , quantum mechanics , physics , electrode
In this paper, we study the boundedness of the Schrödinger propagator e i Δon Wiener amalgam spaces. In particular, we determine the necessary and sufficient conditions for the propagator e i Δto be bounded from W p , q s to W p , q 0 .