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Pseudo‐differential operators in a Gelfand–Shilov setting
Author(s) -
Cappiello Marco,
Toft Joachim
Publication year - 2017
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.201500465
Subject(s) - mathematics , pseudodifferential operators , infinity , pure mathematics , differential operator , differential (mechanical device) , type (biology) , composition (language) , exponential type , algebra over a field , mathematical analysis , linguistics , engineering , aerospace engineering , ecology , philosophy , biology
We introduce some general classes of pseudodifferential operators with symbols admitting exponential type growth at infinity and we prove mapping properties for these operators on Gelfand–Shilov spaces. Moreover, we deduce composition and certain invariance properties of these classes.