Elliptic operators in odd subspaces
Sbornik. Mathematics, Tome 191 (2000) no. 8, pp. 1191-1213
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An elliptic theory is constructed for operators acting in subspaces defined by means of odd pseudodifferential projections. Index formulae for operators on compact manifolds without boundary and for general boundary-value problems are obtained. A connection with Gilkey's theory of $\eta$-invariants is established.
@article{SM_2000_191_8_a3,
author = {A. Yu. Savin and B. Yu. Sternin},
title = {Elliptic operators in odd subspaces},
journal = {Sbornik. Mathematics},
pages = {1191--1213},
publisher = {mathdoc},
volume = {191},
number = {8},
year = {2000},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_2000_191_8_a3/}
}
A. Yu. Savin; B. Yu. Sternin. Elliptic operators in odd subspaces. Sbornik. Mathematics, Tome 191 (2000) no. 8, pp. 1191-1213. http://geodesic.mathdoc.fr/item/SM_2000_191_8_a3/