Heat Kernels for elliptic and sub-elliptic operators : methods and techniques
This monograph is a unified presentation of several theories of finding explicit formulas for heat kernels for both elliptic and sub-elliptic operators. These kernels are important in the theory of parabolic operators because they describe the distribution of heat on a given manifold as well as evol...
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| Auteurs principaux: | , , , |
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| Format: | Livre numérique |
| Sprog: | Anglais |
| Udgivet: |
Boston :
Birkhäuser Boston
[20..].
Cham : Springer Nature |
| Serier: | Applied and Numerical Harmonic Analysis
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| Fag: | |
| Online adgang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Kommentar: |
Description d'après consultation du 23 avril 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Heat kernels for elliptic and sub-elliptic operators, methods and techniques, Ovidiu Calin, Der-Chen Chang, Kenro Furutani... [et al.], [Basel], Birkhäuser, Springer, 2011, 1 vol. (XVIII-433 p.), Applied and numerical harmonic analysis, 978-0-8176-4994-4 |
| Summary: | This monograph is a unified presentation of several theories of finding explicit formulas for heat kernels for both elliptic and sub-elliptic operators. These kernels are important in the theory of parabolic operators because they describe the distribution of heat on a given manifold as well as evolution phenomena and diffusion processes. The work is divided into four main parts: Part I treats the heat kernel by traditional methods, such as the Fourier transform method, paths integrals, variational calculus, and eigenvalue expansion; Part II deals with the heat kernel on nilpotent Lie groups and nilmanifolds; Part III examines Laguerre calculus applications; Part IV uses the method of pseudo-differential operators to describe heat kernels. Topics and features: comprehensive treatment from the point of view of distinct branches of mathematics, such as stochastic processes, differential geometry, special functions, quantum mechanics, and PDEs; novelty of the work is in the diverse methods used to compute heat kernels for elliptic and sub-elliptic operators; most of the heat kernels computable by means of elementary functions are covered in the work; self-contained material on stochastic processes and variational methods is included. Heat Kernels for Elliptic and Sub-elliptic Operators is an ideal reference for graduate students, researchers in pure and applied mathematics, and theoretical physicists interested in understanding different ways of approaching evolution operators |
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| Emne beskrivelse: | Description d'après consultation du 23 avril 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Bibliografi: | Bibliogr. p. 425-429 Index p. 431-433 |
| ISBN: | 9780817649951 |
| Adgang: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |