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Local and Global Descriptions of Periodic Pseudodifferential Operators
Author(s) -
McLean William
Publication year - 1991
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.19911500112
Subject(s) - pseudodifferential operators , mathematics , series (stratigraphy) , pure mathematics , mathematical analysis , algebra over a field , geology , paleontology
Periodic pseudodifferential operators can be defined either globally, via F OURIER series, or else locally, via partitions of unity and F OURIER integrals. Here, it is proved that the two definitions are equivalent.