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Algebras of Pseudodifferential Operators in L 2 Given by Smooth Measures on Hilbert Spaces
Author(s) -
Albeverio Sergio,
Daletskh Alexei
Publication year - 1998
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.19981920102
Subject(s) - pseudodifferential operators , mathematics , hilbert space , context (archaeology) , measure (data warehouse) , pure mathematics , operator theory , compact operator on hilbert space , space (punctuation) , algebra over a field , compact operator , extension (predicate logic) , linguistics , paleontology , philosophy , database , computer science , biology , programming language
Pseudodifferential operators with symbols on a Hilbert phase space are defined as symmetric operators in L 2 given by a smooth measure. The main formulae of symbolic calculus are proved in this context.