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A Parameter‐Dependent Symbolic Calculus for Pseudo‐Differential Operators with Negative‐Definite Symbols
Author(s) -
Jacob N.,
Tokarev A. G.
Publication year - 2004
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610704005769
Subject(s) - differential calculus , mathematics , calculus (dental) , positive definite matrix , algebra over a field , differential (mechanical device) , pure mathematics , multivariable calculus , physics , medicine , dentistry , control engineering , engineering , thermodynamics , eigenvalues and eigenvectors , quantum mechanics
Hoh's calculus for pseudo‐differential operators with negative‐definite symbols is extended to the case of parameter‐dependent symbols. Then this parameter‐dependent calculus is applied to the study of subordinate sub‐Markovian semigroups.