A General Sampling Theorem Associated with Differential Operators

Authors: García A.G.1; Hernández-Medina M.A.2

Source: Journal of Computational Analysis and Applications, Volume 01, Number 2, April 1999 , pp. 147-161(15)

Publisher: Springer

Key:
Free Content - Free Content
New Content - New Content
Subscribed Content - Subscribed Content
Free Trial Content - Free Trial Content

Abstract:

In this paper we prove a general sampling theorem associated with differential operators with compact resolvent. Thus, we are able to recover, through a Lagrange-type interpolatory series, functions defined by means of a linear integral transform. The kernel of this transform is related with the resolvent of the differential operator. Most of the well-known sampling theorems associated with differential operators are shown to be nothing but limit cases of this result.

Keywords: Kramer's sampling theorem; symmetric and self-adjoint operators; compact resolvents; Hilbert–Schmidt operators; Lagrange-type interpolatory series

Language: English

Document Type: Research article

Affiliations: 1: Departamento de Matemáticas, Escuela Politécnica Superior, Universidad Carlos III de Madrid, Leganés, Spain 2: Departamento de Matemática Aplicada, E.T.S.I.T., Universidad Politécnica de Madrid, Madrid, Spain

The full text electronic article is available for purchase. You will be able to download the full text electronic article after payment.

$42.00 plus tax

 

OR

Back to top

Key:
Free Content - Free Content
New Content - New Content
Subscribed Content - Subscribed Content
Free Trial Content - Free Trial Content
Page Help Click here for Page Help
Shopping cart
Tools
Sign in






Need to register?
Sign up here
Text size: A | A | A | A