Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Published in:
Introduction Read chapter Read first chapter

2021 | OriginalPaper | Chapter

6. Distributions

Authors : Adina Chirilă, Marin Marin, Andreas Öchsner

Published in: Distribution Theory Applied to Differential Equations

Publisher: Springer International Publishing

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

First of all, we introduce some fundamental spaces that are needed in the theory of distributions. Then we introduce the space of distributions. Then we discuss about the derivative of a distribution, the primitive of a distribution and higher-order primitives. Finally, we present the direct product of distributions, the convolution of distributions and their properties.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now
previous chapter Evolution Equations
next chapter Tempered Distributions
Literature
1.
H.W. Alt, Lineare Funktionalanalysis (Springer, Berlin, Heidelberg, 2006)MATH
2.
H. Brezis, Functional Analysis, Sobolev Spaces and Partial Differential Equations (Springer, 2011)
3.
4.
J.J. Duistermaat, J.A.C. Kolk, Distributions: Theory and Applications (Birkhäuser, 2010)
5.
F.G. Friedlander, M. Joshi, Introduction to the Theory of Distributions, 2nd edn. (Cambridge University Press, 1999)
6.
D.D. Haroske, H. Triebel, Distributions, Sobolev Spaces, Elliptic Equations (European Mathematical Society, 2008)
7.
L. Hörmander, The Analysis of Linear Partial Differential Operators I: Distribution Theory and Fourier Analysis, 2nd edn. (Springer, 1990)
8.
F.W. King, Hilbert Transforms (Cambridge University Press, Cambridge, 2009)CrossRef
9.
D. Mitrea, Distributions, Partial Differential Equations, and Harmonic Analysis (Springer, 2013)
10.
T. Precupanu, Spaţii liniare topologice şi elemente de analiză convexă, Ed. Acad. Române, Bucureşti (1992)
11.
I. Richards, H. Youn, Theory of Distributions: A Non-technical Introduction (Cambridge University Press, 1995)
12.
R. Sikorski, The elementary theory of distributions. Bull. Acad. Pol., Warszawa (1957)
13.
R. Strichartz, A Guide to Distribution Theory and Fourier Transforms (CRC Press, 1994)
14.
L. Schwartz, Theorie des Distributions (Herman & Cie, Paris, 1971)
15.
Z. Vulih, Introduction to the Theory of Partially Ordered Spaces (Woltors–Noordhoff, Groningen, 1967)
16.
J. Yeh, Real Analysis. Theory of Measure and Integration (World Scientific, New Jersey, London, Singapore, 2006)
Metadata
Title
Distributions
Authors
Adina Chirilă
Marin Marin
Andreas Öchsner
Copyright Year
2021
Book
Distribution Theory Applied to Differential Equations

Print ISBN: 978-3-030-67158-7

Electronic ISBN: 978-3-030-67159-4

Copyright Year: 2021

DOI
https://doi.org/10.1007/978-3-030-67159-4_6