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.
@article{SEDP_2000-2001____A4_0, author = {Rozenblum, Grigori}, title = {Trace class pseudodifferential calculus with operator valued symbols and unusual index formulas}, journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique) dit aussi "S\'eminaire Goulaouic-Schwartz"}, note = {talk:4}, pages = {1--14}, publisher = {Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique}, year = {2000-2001}, zbl = {1057.58011}, language = {en}, url = {http://www.numdam.org/item/SEDP_2000-2001____A4_0/} }
TY - JOUR AU - Rozenblum, Grigori TI - Trace class pseudodifferential calculus with operator valued symbols and unusual index formulas JO - Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" N1 - talk:4 PY - 2000-2001 SP - 1 EP - 14 PB - Centre de mathématiques Laurent Schwartz, École polytechnique UR - http://www.numdam.org/item/SEDP_2000-2001____A4_0/ LA - en ID - SEDP_2000-2001____A4_0 ER -
%0 Journal Article %A Rozenblum, Grigori %T Trace class pseudodifferential calculus with operator valued symbols and unusual index formulas %J Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" %Z talk:4 %D 2000-2001 %P 1-14 %I Centre de mathématiques Laurent Schwartz, École polytechnique %U http://www.numdam.org/item/SEDP_2000-2001____A4_0/ %G en %F SEDP_2000-2001____A4_0
Rozenblum, Grigori. Trace class pseudodifferential calculus with operator valued symbols and unusual index formulas. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (2000-2001), Exposé no. 4, 14 p. http://www.numdam.org/item/SEDP_2000-2001____A4_0/
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