Distributions, partial differential equations, and harmonic analysis

The aim of this book is to offer, in a concise, rigorous, and largely self-contained manner, a rapid introduction to the theory of distributions and its applications to partial differential equations and harmonic analysis. The book is written in a format suitable for a graduate course spanning eithe...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلف الرئيسي: Mitrea, Dorina, 1965-
التنسيق: Livre numérique
اللغة:Anglais
منشور في: New York, NY : Springer New York 2013.
Cham : Springer Nature
سلاسل:Universitext
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:• Distributions, partial differential equations, and harmonic analysis, Dorina Mitrea, New York (N.Y.), Springer, 2013, 1 vol. (460 p.), Universitext, 978-1-461-48207-9
جدول المحتويات:
  • Introduction Summary of Topological and Functional Analysis Results Weak Derivatives The Space D0() of Distributions The Fourier Transform The Space of Tempered Distributions Fundamental Solution The Laplace Operator The Heat Operator The Wave Operator The Lame Operator Fundamental Solutions for Other Operators Hypoelliptic operators Sobolev spaces Appendix References.