Skip to main content

Generalized Functions on a Superspace

  • Chapter
Superanalysis

Part of the book series: Mathematics and Its Applications ((MAIA,volume 470))

  • 305 Accesses

Abstract

Generalized functions were introduced by Dirac [29] in his quantome-chanical research in which the famous δ-function was systematically used. The fundamentals of the mathematical theory of generalized functions were laid by Sobolev ([131 (1936)]) and used to solve the Cauchy problem for hyperbolic equations. Schwartz ([69 (1950)] and [51]) gave a systematic exposition of the theory of generalized functions and indicated a number of its important applications.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Khrennikov, A. (1999). Generalized Functions on a Superspace. In: Superanalysis. Mathematics and Its Applications, vol 470. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4609-8_3

Download citation

  • DOI: https://doi.org/10.1007/978-94-011-4609-8_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5948-0

  • Online ISBN: 978-94-011-4609-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics