Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-24T00:37:29.079Z Has data issue: false hasContentIssue false
  • English
  • Français

A condition for inverting the order of integration in a repeated integral

Published online by Cambridge University Press:  24 October 2008

S. Pollard
S. Pollard
Affiliation:
Trinity College
Get access Rights & Permissions [Opens in a new window]

Extract

When the inner integrals in a pair of repeated integrals are absolutely convergent, inversion of the order of integration is a not too difficult problem and there are a number of general theorems which, under comparatively unrestricted appropriate conditions, can be applied to give a solution. When, on the other hand, the inner integrals are only conditionally convergent, the problem is of a very different nature and the solution, if it exists at all, is usually only to be obtained by special devices.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 24 , Issue 1 , January 1928 , pp. 35 - 37
Copyright
Copyright © Cambridge Philosophical Society 1928

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCE

1.Looman, H., Göttinger Nachrichten (1923), 98–108.Google Scholar