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Wilson Bases and Ultramodulation Spaces
Author(s) -
Pilipović Stevan,
Teofanov Nenad
Publication year - 2002
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 - 10.1002/1522-2616(200207)242:1<179::aid-mana179>3.0.co;2-3
Subject(s) - mathematics , dual polyhedron , generalization , modulation space , class (philosophy) , pure mathematics , type (biology) , decomposition , algebra over a field , mathematical analysis , epistemology , ecology , philosophy , biology
Time‐frequency characterizations of a class of Gelfand‐Shilov type spaces of test functions and their duals are given through the atomic decomposition by means of sufficiently regular Wilson bases. To that end ultramodulation spaces, a generalization of a class of modulation spaces in the sense of H. G. Feichtinger , K. Gröchenig and D. Walnut are introduced and analyzed.