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Regularized Traces and Taylor Expansions for the Heat Semigroup
Author(s) -
Hitrik Michael,
Polterovich Iosif
Publication year - 2003
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/s0024610703004538
Subject(s) - semigroup , mathematics , taylor series , heat kernel , trace (psycholinguistics) , connection (principal bundle) , schrödinger's cat , kernel (algebra) , commutative property , mathematical physics , range (aeronautics) , pure mathematics , pseudodifferential operators , mathematical analysis , geometry , philosophy , linguistics , materials science , composite material
The coefficients in asymptotics of regularized traces and associated trace (spectral) distributions for Schrödinger operators with short and long range potentials are computed. A kernel expansion for the Schrödinger semigroup is derived, and a connection with non‐commutative Taylor formulas is established.