Skip to main content Accessibility help
×
Home

On Carleman Integral Operators

  • Charles G. Costley (a1)

Extract

L 2(a, b)

1

with the property

2

were originally defined by T. Carleman [4]. Here he imposed on the kernel the conditions of measurability and hermiticity,

3

for all x with the exception of a countable set with a finite number of limit points and

4

where J δ denotes the interval [a, b] with the exception of subintervals |x - ξv| < δ; here ξv represents a finite set of points for which (3) fails to hold.

    • Send article to Kindle

      To send this article to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle. Find out more about sending to your Kindle.

      Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

      Find out more about the Kindle Personal Document Service.

      On Carleman Integral Operators
      Available formats
      ×

      Send article to Dropbox

      To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Dropbox.

      On Carleman Integral Operators
      Available formats
      ×

      Send article to Google Drive

      To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Google Drive.

      On Carleman Integral Operators
      Available formats
      ×

Copyright

References

Hide All
1. Achiezer, N. I., Upschi Math. Nauk. 5 (1947), (21) (93).
2. Stone, M. H., Linear transformations in Hilbert space and their applications to analysis, American Math. Soc. Colloq. Publ., Vol. XV, New York, 1932.
3. Korotkov, V. B., Integral operators with Carleman kernels, Differencial'nye Uravnenija 2, (1965), 252-265. (Math. Reviews Vol. 32 (1966), Part 2).
4. Carleman, T., Sur les équations intégrales singulières à noyau reél et symétrique, Uppsala 1923.
5. Carleman, T., La théorie des équations intégrales singulières et ses applications, Ann. Inst. H. Poincaré, 1931.
6. Riesz, M. F., Uber système integrierbarer Funktionen, Math. Ann., 1910.
7. Targonski, G. I., Seminar on functional operators and equations. Lecture Notes in Mathematics No. 33, Springer-Verlag, Berlin, 1962.
8. Misra, B., Speiser, D., and Targonski, Gy., Helv, Phys. Acta 36 (1963), 963-980.
MathJax
MathJax is a JavaScript display engine for mathematics. For more information see http://www.mathjax.org.

On Carleman Integral Operators

  • Charles G. Costley (a1)

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed