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Non-self-adjoint differential operat...

Sjostrand, Johannes.

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Non-self-adjoint differential operators, spectral asymptotics and random perturbations

Record Type:	Electronic resources : Monograph/item
Title/Author:	Non-self-adjoint differential operators, spectral asymptotics and random perturbations/ by Johannes Sjostrand.
Author:	Sjostrand, Johannes.
Published:	Cham :Springer International Publishing : : 2019.,
Description:	x, 496 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Nonselfadjoint operators. -
Online resource:	https://doi.org/10.1007/978-3-030-10819-9
ISBN:	9783030108199

Non-self-adjoint differential operators, spectral asymptotics and random perturbations
Sjostrand, Johannes.

Non-self-adjoint differential operators, spectral asymptotics and random perturbations[electronic resource] /by Johannes Sjostrand. - Cham :Springer International Publishing :2019. - x, 496 p. :ill., digital ;24 cm. - Pseudo-differential operators, theory and applications,v.142297-0355 ;. - Pseudo-differential operators, theory and applications ;v.14..

The asymptotic distribution of eigenvalues of self-adjoint differential operators in the high-energy limit, or the semi-classical limit, is a classical subject going back to H. Weyl of more than a century ago. In the last decades there has been a renewed interest in non-self-adjoint differential operators which have many subtle properties such as instability under small perturbations. Quite remarkably, when adding small random perturbations to such operators, the eigenvalues tend to distribute according to Weyl's law (quite differently from the distribution for the unperturbed operators in analytic cases) A first result in this direction was obtained by M. Hager in her thesis of 2005. Since then, further general results have been obtained, which are the main subject of the present book. Additional themes from the theory of non-self-adjoint operators are also treated. The methods are very much based on microlocal analysis and especially on pseudodifferential operators. The reader will find a broad field with plenty of open problems.

ISBN: 9783030108199

Standard No.: 10.1007/978-3-030-10819-9doiSubjects--Topical Terms:

524914
Nonselfadjoint operators.

LC Class. No.: QA329.2 / .S586 2019

Dewey Class. No.: 515.7246

Non-self-adjoint differential operators, spectral asymptotics and random perturbations
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100 1 $a Sjostrand, Johannes. $3 718492
245 1 0 $a Non-self-adjoint differential operators, spectral asymptotics and random perturbations $h [electronic resource] / $c by Johannes Sjostrand.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2019.
300 $a x, 496 p. : $b ill., digital ; $c 24 cm.
490 1 $a Pseudo-differential operators, theory and applications, $x 2297-0355 ; $v v.14
520 $a The asymptotic distribution of eigenvalues of self-adjoint differential operators in the high-energy limit, or the semi-classical limit, is a classical subject going back to H. Weyl of more than a century ago. In the last decades there has been a renewed interest in non-self-adjoint differential operators which have many subtle properties such as instability under small perturbations. Quite remarkably, when adding small random perturbations to such operators, the eigenvalues tend to distribute according to Weyl's law (quite differently from the distribution for the unperturbed operators in analytic cases) A first result in this direction was obtained by M. Hager in her thesis of 2005. Since then, further general results have been obtained, which are the main subject of the present book. Additional themes from the theory of non-self-adjoint operators are also treated. The methods are very much based on microlocal analysis and especially on pseudodifferential operators. The reader will find a broad field with plenty of open problems.
650 0 $a Nonselfadjoint operators. $3 524914
650 0 $a Spectral theory (Mathematics) $3 524915
650 1 4 $a Functions of a Complex Variable. $3 897310
650 2 4 $a Several Complex Variables and Analytic Spaces. $3 893953
650 2 4 $a Ordinary Differential Equations. $3 891264
650 2 4 $a Partial Differential Equations. $3 890899
650 2 4 $a Operator Theory. $3 897311
710 2 $a SpringerLink (Online service) $3 836513
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830 0 $a Pseudo-differential operators, theory and applications ; $v v.14. $3 3411013
856 4 0 $u https://doi.org/10.1007/978-3-030-10819-9
950 $a Mathematics and Statistics (Springer-11649)