الفهرس الالي للمكتبة المركزية بجامعة عبد الحميد بن باديس - مستغانم

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Microlocal analysis and precise spectral asymptotics / Victor Ivrii

Public ISBD Titre : Microlocal analysis and precise spectral asymptotics Type de document : texte imprimé Auteurs : Victor Ivrii Editeur : Berlin : Springer-Verlag Année de publication : 1998 Collection : Springer monographs in mathematics Importance : xv, 731 p. Format : 25 cm ISBN/ISSN/EAN : 978-3-540-62780-7 Mots-clés : The problem of spectral asymptotics, in particular the problem of the asymptotic dis- tribution of eigenvalues, is one of the central problems in the spectral theory of partial differential operators  moreover, it is very important for the general theory of partial differential operators. I started working in this domain in 1979 after R. Seeley found a remainder estimate of the same order as the then hypothetical second term for the Laplacian in domains with boundary, and M. Shubin and B. M. Levitan suggested that I should try to prove Weyl's conjecture. During the past fifteen years I have not left the topic, although I had such intentions in 1985 when the methods I invented seemed to fai! to provide furt her progress and only a couple of not very exciting problems remained to be solved. However, at that time I made the step toward local semiclassical spectral asymptotics and rescaling, and new horizons opened. Index. décimale : 515/. Résumé : Microlocal analysis and precise spectral asymptotics [texte imprimé] / Victor Ivrii . - Berlin : Springer-Verlag, 1998 . - xv, 731 p. ; 25 cm. - (Springer monographs in mathematics) . ISBN : 978-3-540-62780-7 Mots-clés : The problem of spectral asymptotics, in particular the problem of the asymptotic dis- tribution of eigenvalues, is one of the central problems in the spectral theory of partial differential operators  moreover, it is very important for the general theory of partial differential operators. I started working in this domain in 1979 after R. Seeley found a remainder estimate of the same order as the then hypothetical second term for the Laplacian in domains with boundary, and M. Shubin and B. M. Levitan suggested that I should try to prove Weyl's conjecture. During the past fifteen years I have not left the topic, although I had such intentions in 1985 when the methods I invented seemed to fai! to provide furt her progress and only a couple of not very exciting problems remained to be solved. However, at that time I made the step toward local semiclassical spectral asymptotics and rescaling, and new horizons opened. Index. décimale : 515/. Résumé :

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Code-barres	Cote	Support	Localisation	Section	Disponibilité
CF2-003761	517-85.1	Ouvrage	Bibliothèque Centrale	500 - Sciences de la nature et Mathématiques	Exclu du prêt

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