Theory of Distributions

• Κύριος συγγραφέας: Georgiev, Svetlin G. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Θέματα: Mathematics.; Fourier analysis.; Functional analysis.; Differential equations.; Partial differential equations.; Functional Analysis.; Ordinary Differential Equations.; Partial Differential Equations.; Fourier Analysis.

This book explains many fundamental ideas on the theory of distributions. The theory of partial differential equations is one of the synthetic branches of analysis that combines ideas and methods from different fields of mathematics, ranging from functional analysis and harmonic analysis to differen...

Πίνακας περιεχομένων:

• 1 Introduction
• 2 Generalities on distributions
• 3 Differentiation
• 4 Homogeneous distributions
• 5 Direct product of distributions
• 6 Convolutions
• 7 Tempered distributions
• 8 Integral transforms
• 9 Fundamental solutions
• 10 Sobolev spaces.