Index formulas for pseudodifferential operators with discontinuous symbols

Grigori V. Rozenblum

Journées équations aux dérivées partielles (1994)

  • Volume: 1994, page 1-10
  • ISSN: 0752-0360

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Rozenblum, Grigori V.. "Index formulas for pseudodifferential operators with discontinuous symbols." Journées équations aux dérivées partielles 1994 (1994): 1-10. <http://eudml.org/doc/93284>.

@article{Rozenblum1994,
author = {Rozenblum, Grigori V.},
journal = {Journées équations aux dérivées partielles},
keywords = {symbol; -algebra; symbolic homomorphisms; index formulas; -theory},
language = {eng},
pages = {1-10},
publisher = {Ecole polytechnique},
title = {Index formulas for pseudodifferential operators with discontinuous symbols},
url = {http://eudml.org/doc/93284},
volume = {1994},
year = {1994},
}

TY - JOUR
AU - Rozenblum, Grigori V.
TI - Index formulas for pseudodifferential operators with discontinuous symbols
JO - Journées équations aux dérivées partielles
PY - 1994
PB - Ecole polytechnique
VL - 1994
SP - 1
EP - 10
LA - eng
KW - symbol; -algebra; symbolic homomorphisms; index formulas; -theory
UR - http://eudml.org/doc/93284
ER -

References

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  1. 1. L. Boutet de Monvel, Boundary problems for pseudodifferential operators, Acta Math. 126 (1971), 11-51. Zbl0206.39401MR53 #11674
  2. 2. B.A. Plamenevsky, G.V. Rozenblum, Pseudodifferential operators with discontinuous symbols : K-theory and the index formula, Functional Anal. and its Applications (Funktsionalnyi Analiz i Ego Prilozheniya), 26 (1992), 266-275. Zbl0879.58073MR94a:58192
  3. 3. G.V. Rozenblum, On the index of pseudodifferential operators with symbols having discontinuities along a submanifold. To appear in Matematichesky Sbornik (Moscow). 
  4. 4. B.A. Plamenevsky, V.A. Senichkin, On the spectrum of C* -algebras generated by pseudodifferential operators with discontinuous symbols, Math. USSR Izv. 23 (1984), 525-544. Zbl0604.47031
  5. 5. B.A. Plamenevsky, G.V. Rozenblum, On a class of pseudodifferential operators with operator-valued symbols. Preprint University Linköping LiTH-MATH-R-92-17 (1992). 
  6. 6. P. Baum, R. DouglasK-homology and index theory, Proc. Symp. Pure Math. AMS 38, part 1 (1982), 117-173. Zbl0532.55004MR84d:58075
  7. 7. B.V. Fedosov, Analytic formulas for the index of elliptic operators, Trans. Moscow Math. Soc., 30 (1974), 159-241. Zbl0349.58006MR54 #8743
  8. 8. B.A. Plamenevsky, G.V. Rozenblum, On the index of pseudodifferential operators with isolated singularities in the symbols, Leningrad Math. J., 2 (1991), 1085-1108. Zbl0746.35061MR92h:58188
  9. Dept. Math., Aalborg University, Fredrik Bajers Vej, 7E, Aalborg, 9220, Denmark, e-mail greg@iesd.auc.dk 

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