Global Pseudo-Differential Calculus on Euclidean Spaces

This book is devoted to the global pseudo-differential calculus on Euclidean spaces and its applications to geometry and mathematical physics, with emphasis on operators of linear and non-linear quantum physics and travelling waves equations. The pseudo-differential calculus presented here has an el...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: Nicola, Fabio, Rodino, Luigi, 1948- (مؤلف)
التنسيق: Livre numérique
اللغة:Anglais
منشور في: Basel : Birkhäuser Basel [20..].
Cham : Springer Nature
الطبعة:1st ed. 2010.
سلاسل:Pseudo-Differential Operators, Theory and Applications 4
الوصول للمادة أونلاين:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
ملاحظة: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Global Pseudo-differential Calculus on Euclidean Spaces, Texte imprimé, 9783764394516
• Global pseudo-differential calculus on euclidean spaces, Fabio Nicola, Luigi Rodino, Basel, Springer, Birkhäuser, 2010, 1 vol. (X-306 p.), Pseudo-differential operators. theory and applications, 978-3-7643-8511-8
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245 1 0 |a Global Pseudo-Differential Calculus on Euclidean Spaces   |c by Fabio Nicola, Luigi Rodino. 
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505 1 |a Background meterial Global Pseudo-Differential Calculus ?-Pseudo-Differential Operators and H-Polynomials G-Pseudo-Differential Operators Spectral Theory Non-Commutative Residue and Dixmier Trace Exponential Decay and Holomorphic Extension of Solutions. 
506 |a Accès en ligne pour les établissements français bénéficiaires des licences nationales 
506 |a Accès soumis à abonnement pour tout autre établissement 
506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
520 |a This book is devoted to the global pseudo-differential calculus on Euclidean spaces and its applications to geometry and mathematical physics, with emphasis on operators of linear and non-linear quantum physics and travelling waves equations. The pseudo-differential calculus presented here has an elementary character, being addressed to a large audience of scientists. It includes the standard classes with global homogeneous structures, the so-called G and gamma operators. Concerning results for the applications, a first main line is represented by spectral theory. Beside complex powers of operators and asymptotics for the counting function, particular attention is here devoted to the non-commutative residue in Euclidean spaces and the Dixmier trace. Second main line is the self-contained presentation, for the first time in a text-book form, of the problem of the holomorphic extension of the solutions of the semi-linear globally elliptic equations. Entire extensions are discussed in detail. Exponential decay is simultaneously studied. 
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