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010   $a3-030-10819-8
024 7 $a10.1007/978-3-030-10819-9
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035   $a(MiAaPQ)EBC5776246
035   $a(DE-He213)978-3-030-10819-9
035   $a(PPN)236523112
035   $a(EXLCZ)994100000008217443
100   $a20190517d2019      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aNon-Self-Adjoint Differential Operators, Spectral Asymptotics and Random Perturbations /$fby Johannes Sjöstrand
205   $a1st ed. 2019.
210  1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2019.
215   $a1 online resource (496 pages) $cillustrations
225 1 $aPseudo-Differential Operators, Theory and Applications,$x2297-0355 ;$v14
311   $a3-030-10818-X 
330   $aThe asymptotic distribution of eigenvalues of self-adjoint differential operators in the high-energy limit, or the semi-classical limit, is a classical subject going back to H. Weyl of more than a century ago. In the last decades there has been a renewed interest in non-self-adjoint differential operators which have many subtle properties such as instability under small perturbations. Quite remarkably, when adding small random perturbations to such operators, the eigenvalues tend to distribute according to Weyl's law (quite differently from the distribution for the unperturbed operators in analytic cases). A first result in this direction was obtained by M. Hager in her thesis of 2005. Since then, further general results have been obtained, which are the main subject of the present book. Additional themes from the theory of non-self-adjoint operators are also treated. The methods are very much based on microlocal analysis and especially on pseudodifferential operators. The reader will find a broad field with plenty of open problems.
410  0$aPseudo-Differential Operators, Theory and Applications,$x2297-0355 ;$v14
606   $aFunctions of complex variables
606   $aDifferential equations
606   $aDifferential equations, Partial
606   $aOperator theory
606   $aFunctions of a Complex Variable$3https://scigraph.springernature.com/ontologies/product-market-codes/M12074
606   $aSeveral Complex Variables and Analytic Spaces$3https://scigraph.springernature.com/ontologies/product-market-codes/M12198
606   $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147
606   $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155
606   $aOperator Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M12139
615  0$aFunctions of complex variables.
615  0$aDifferential equations.
615  0$aDifferential equations, Partial.
615  0$aOperator theory.
615 14$aFunctions of a Complex Variable.
615 24$aSeveral Complex Variables and Analytic Spaces.
615 24$aOrdinary Differential Equations.
615 24$aPartial Differential Equations.
615 24$aOperator Theory.
676   $a515.7246
676   $a515.7246
700   $aSjöstrand$b Johannes$4aut$4http://id.loc.gov/vocabulary/relators/aut$0351203
906   $aBOOK
912   $a9910338249603321
996   $aNon-Self-Adjoint Differential Operators, Spectral Asymptotics and Random Perturbations$91733469
997   $aUNINA