Scattering resonances for several small convex bodies and the Lax-Phillips conjecture / Luchezar Stoyanov.

Format:

Book

Author/Creator:

Stoyanov, Luchezar N., 1954- author.

Series:

Memoirs of the American Mathematical Society ; Volume 199, Number 933.

Memoirs of the American Mathematical Society, 0065-9266 ; Volume 199, Number 933

Language:

English

Subjects (All):

Scattering (Mathematics).

Ruelle operators.

Function spaces.

Algebraic spaces.

Physical Description:

1 online resource (90 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, 2009.

Language Note:

English

Summary:

This work deals with scattering by obstacles which are finite disjoint unions of strictly convex bodies with smooth boundaries in an odd dimensional Euclidean space. The class of obstacles of this type which is considered are contained in a given (large) ball and have some additional properties.

Contents:

""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. An abstract meromorphicity theorem""; ""Chapter 3. Preliminaries""; ""Chapter 4. Ikawa's transfer operator""; ""Chapter 5. Resolvent estimates for transfer operators""; ""Chapter 6. Uniform local meromorphicity""; ""Chapter 7. Proof of the Main Theorem""; ""Chapter 8. Curvature estimates""; ""Bibliography""

Notes:

"Volume 199, Number 933 (fourth of 6 numbers)."

Includes bibliographical references.

Description based on print version record.

ISBN:

1-4704-0539-3