Index formulas for pseudodifferential operators with discontinuous symbols
Journées équations aux dérivées partielles (1994), article no. 16, 10 p. 
Grigori V. Rozenblum. Index formulas for pseudodifferential operators with discontinuous symbols. Journées équations aux dérivées partielles (1994), article  no. 16, 10 p.. doi: 10.5802/jedp.471
@incollection{JEDP_1994____A16_0,
     author = {Grigori V. Rozenblum},
     title = {Index formulas for pseudodifferential operators with discontinuous symbols},
     booktitle = {},
     series = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     eid = {16},
     pages = {1--10},
     year = {1994},
     publisher = {\'Ecole polytechnique},
     doi = {10.5802/jedp.471},
     mrnumber = {95i:58169},
     zbl = {0878.35126},
     language = {en},
     url = {https://proceedings.centre-mersenne.org/articles/10.5802/jedp.471/}
}
TY  - JOUR
AU  - Grigori V. Rozenblum
TI  - Index formulas for pseudodifferential operators with discontinuous symbols
JO  - Journées équations aux dérivées partielles
PY  - 1994
SP  - 1
EP  - 10
PB  - École polytechnique
UR  - https://proceedings.centre-mersenne.org/articles/10.5802/jedp.471/
DO  - 10.5802/jedp.471
LA  - en
ID  - JEDP_1994____A16_0
ER  - 
%0 Journal Article
%A Grigori V. Rozenblum
%T Index formulas for pseudodifferential operators with discontinuous symbols
%J Journées équations aux dérivées partielles
%] 16
%D 1994
%P 1-10
%I École polytechnique
%U https://proceedings.centre-mersenne.org/articles/10.5802/jedp.471/
%R 10.5802/jedp.471
%G en
%F JEDP_1994____A16_0

1. L. Boutet De Monvel, Boundary problems for pseudodifferential operators, Acta Math. 126 (1971), 11-51. | MR | Zbl

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. | MR | Zbl

3. G.V. Rozenblum, On the index of pseudodifferential operators with symbols having discontinuities along a submanifold. To appear in Matematichesky Sbornik (Moscow).

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. | Zbl

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. P. Baum, R. Douglas K-homology and index theory, Proc. Symp. Pure Math. AMS 38, part 1 (1982), 117-173. | MR | Zbl

7. B.V. Fedosov, Analytic formulas for the index of elliptic operators, Trans. Moscow Math. Soc., 30 (1974), 159-241. | MR | Zbl

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. | MR | Zbl

Dept. Math., Aalborg University, Fredrik Bajers Vej, 7E, Aalborg, 9220, Denmark, e-mail greg@iesd.auc.dk

Cité par Sources :