Trace class pseudodifferential calculus with operator valued symbols and unusual index formulas

Grigori Rozenblum[1]

  • [1] Dept of Mathematics, Chalmers University of Technology, 412 96 Göteborg, Sweden

Séminaire Équations aux dérivées partielles (2000-2001)

  • Volume: 2000-2001, page 1-14

Abstract

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For several classes of pseudodifferential operators with operator-valued symbol analytic index formulas are found. The common feature is that usual index formulas are not valid for these operators. Applications are given to pseudodifferential operators on singular manifolds.

How to cite

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Rozenblum, Grigori. "Trace class pseudodifferential calculus with operator valued symbols and unusual index formulas." Séminaire Équations aux dérivées partielles 2000-2001 (2000-2001): 1-14. <http://eudml.org/doc/11023>.

@article{Rozenblum2000-2001,
abstract = {For several classes of pseudodifferential operators with operator-valued symbol analytic index formulas are found. The common feature is that usual index formulas are not valid for these operators. Applications are given to pseudodifferential operators on singular manifolds.},
affiliation = {Dept of Mathematics, Chalmers University of Technology, 412 96 Göteborg, Sweden},
author = {Rozenblum, Grigori},
journal = {Séminaire Équations aux dérivées partielles},
language = {eng},
pages = {1-14},
publisher = {Centre de mathématiques Laurent Schwartz, École polytechnique},
title = {Trace class pseudodifferential calculus with operator valued symbols and unusual index formulas},
url = {http://eudml.org/doc/11023},
volume = {2000-2001},
year = {2000-2001},
}

TY - JOUR
AU - Rozenblum, Grigori
TI - Trace class pseudodifferential calculus with operator valued symbols and unusual index formulas
JO - Séminaire Équations aux dérivées partielles
PY - 2000-2001
PB - Centre de mathématiques Laurent Schwartz, École polytechnique
VL - 2000-2001
SP - 1
EP - 14
AB - For several classes of pseudodifferential operators with operator-valued symbol analytic index formulas are found. The common feature is that usual index formulas are not valid for these operators. Applications are given to pseudodifferential operators on singular manifolds.
LA - eng
UR - http://eudml.org/doc/11023
ER -

References

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