# Elliptic operators in even subspaces

## Abstract

An elliptic theory is constructed for operators acting in subspaces defined in terms of even pseudodifferential projections. Index formulae are obtained for operators on compact manifolds without boundary and for general boundary-value problems. A connection with Gilkey's theory of {eta}-invariants is established.

- Authors:

- M.V. Lomonosov Moscow State University, Moscow (Russian Federation)

- Publication Date:

- OSTI Identifier:
- 21202875

- Resource Type:
- Journal Article

- Journal Name:
- Sbornik. Mathematics

- Additional Journal Information:
- Journal Volume: 190; Journal Issue: 8; Other Information: DOI: 10.1070/SM1999v190n08ABEH000423; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1064-5616

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOUNDARY-VALUE PROBLEMS; MATHEMATICAL MANIFOLDS; MATHEMATICAL OPERATORS

### Citation Formats

```
Savin, A Yu, and Sternin, B Yu.
```*Elliptic operators in even subspaces*. United States: N. p., 1999.
Web. doi:10.1070/SM1999V190N08ABEH000423; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA).

```
Savin, A Yu, & Sternin, B Yu.
```*Elliptic operators in even subspaces*. United States. doi:10.1070/SM1999V190N08ABEH000423; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA).

```
Savin, A Yu, and Sternin, B Yu. Tue .
"Elliptic operators in even subspaces". United States. doi:10.1070/SM1999V190N08ABEH000423; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA).
```

```
@article{osti_21202875,
```

title = {Elliptic operators in even subspaces},

author = {Savin, A Yu and Sternin, B Yu},

abstractNote = {An elliptic theory is constructed for operators acting in subspaces defined in terms of even pseudodifferential projections. Index formulae are obtained for operators on compact manifolds without boundary and for general boundary-value problems. A connection with Gilkey's theory of {eta}-invariants is established.},

doi = {10.1070/SM1999V190N08ABEH000423; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA)},

journal = {Sbornik. Mathematics},

issn = {1064-5616},

number = 8,

volume = 190,

place = {United States},

year = {1999},

month = {8}

}

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