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MARC 21

Non-Self-Adjoint Differential Operators, Spectral Asymptotics and Random Perturbations
Tag	Description
020	$a9783030108199
082	$a515.9
099	$aOnline Resource: Birkhäuser
100	$aSjöstrand, Johannes.$eauthor.
245	$aNon-Self-Adjoint Differential Operators, Spectral Asymptotics and Random Perturbations$h[EBook]$cby Johannes Sjöstrand.
250	$a1st ed. 2019.
260	$aCham$bSpringer International Publishing$c2019.
300	$aX, 496 pages: 71 illus., 69 illus. in color.$bonline resource.
440	$aPseudo-Differential Operators, Theory and Applications,$v14
520	$aThe 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.
538	$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
710	$aSpringerLink (Online service)
830	$aPseudo-Differential Operators, Theory and Applications,$v14
856	$uhttps://doi.org/10.1007/978-3-030-10819-9