Vol. 25, No. 2, 1968

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 328: 1  2
Vol. 327: 1  2
Vol. 326: 1  2
Vol. 325: 1  2
Vol. 324: 1  2
Vol. 323: 1  2
Vol. 322: 1  2
Vol. 321: 1  2
Online Archive
Volume:
Issue:
     
The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Officers
 
Subscriptions
 
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
 
Special Issues
Author index
To appear
 
Other MSP journals
Reproducing kernels in separable Hilbert spaces

Hayri Korezlioglu

Vol. 25 (1968), No. 2, 305–314
Abstract

A theorem on the existence of a reproducing kernel in a separable Hilbert space of functions is proved. As an application of this theorem, a method of interpolation of the functions in a separable Hilbert space with a reproducing kernel is given. This method is used to construct the elements of the Hilbert space generated by a second order stochastic process, in case this space is separable.

Mathematical Subject Classification
Primary: 46.15
Milestones
Received: 1 November 1966
Revised: 27 November 1967
Published: 1 May 1968
Authors
Hayri Korezlioglu