**American Mathematical Society Translations - Series 2**

2000;
238 pp;
Hardcover

MSC: Primary 01; 11; 22; 34; 35; 47;

**Print ISBN: 978-0-8218-2112-1
Product Code: TRANS2/199**

List Price: $128.00

AMS Member Price: $102.40

MAA Member Price: $115.20

**Electronic ISBN: 978-1-4704-3410-6
Product Code: TRANS2/199.E**

List Price: $120.00

AMS Member Price: $96.00

MAA Member Price: $108.00

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# Proceedings of the St. Petersburg Mathematical Society Volume VI

Share this page *Edited by *
*N. N. Uraltseva*

This collection presents new results in algebra, functional analysis, and mathematical physics. In particular, evolution and spectral problems related to small motions of viscoelastic fluid are considered. Specific areas covered in the book include functional equations and functional operator equations from the point of view of the \(C^*\)-algebraic approach, the existence of an isomorphism between certain ideals regarded as Galois modules, spectral problems in singularly perturbed domains, scattering theory, the existence of bounded solutions to the equation \(\operatorname{div} u = f\) in a plane domain, and a compactification of a locally compact group. Also given is an historic overview of the mathematical seminars held at St. Petersburg State University. The results, ideas, and methods given in the book will be of interest to a broad range of specialists.

#### Readership

Graduate students and research mathematicians.

# Table of Contents

## Proceedings of the St. Petersburg Mathematical Society Volume VI

- Cover Cover11
- Title page v6
- Copyright page vi7
- Contents vii8
- Evolution and spectral problems related to small motions of viscoelastic fluid 110
- Functional equations and functional operator equations. A โ*-algebraic approach 2534
- Isomorphism of ideals regarded as Galois modules of complete discrete valuation fields with residue field of positive characteristic 117126
- Spectral problems in singularly perturbed domains and selfadjoint extensions of differential operators 127136
- Discrete spectrum in gaps of the spectrum under strong perturbations of fixed sign 183192
- On bounded solutions to the equation ๐๐๐ฃ๐ข=๐ in a plane domain 199208
- Compactification of a locally compact group and the Noethericity of convolution operators with coefficients on quotient groups 209218
- Prehistory of seminars at St. Petersburg/Petrograd/Leningrad University 225234
- Back Cover Back Cover1249