|
Abstract
|
|
|---|---|
| The aim of this paper is to derive stable generalized sampling in a shift-invariant space with l stable generators. This is done in the light of the theory of frames in the product Hilbert space L2_l(0, 1) := L2(0, 1)×. . .×L2(0, 1) (l times). The generalized samples are expressed as the frame coefficients of an appropriate function in L2_l(0, 1) with respect to some particular frame in L2_l(0, 1). Since any multiply stable generated shift-invariant space is the image of L2_l(0, 1) by means of a bounded invertible operator, the generalized sampling is obtained from some dual frame expansions in L2_l(0, 1). An example in the setting of the Hermite cubic splines is exhibited. | |
|
International
|
Si |
|
JCR
|
Si |
|
Title
|
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS |
|
ISBN
|
0022-247X |
|
Impact factor JCR
|
0,872 |
|
Impact info
|
|
|
Volume
|
337 |
|
|
|
|
Journal number
|
0 |
|
From page
|
69 |
|
To page
|
84 |
|
Month
|
ENERO |
|
Ranking
|
|