๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Approximation by translates of refinable functions

โœ Scribed by Christopher Heil; Gilbert Strang; Vasily Strela

Publisher
Springer-Verlag
Year
1996
Tongue
English
Weight
160 KB
Volume
73
Category
Article
ISSN
0029-599X

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Accuracy of Lattice Translates of Severa
Accuracy of Lattice Translates of Several Multidimensional Refinable Functions
โœ Carlos Cabrelli; Christopher Heil; Ursula Molter ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 554 KB

Complex-valued functions f 1 , ..., f r on R d are refinable if they are linear combinations of finitely many of the rescaled and translated functions f i (Ax&k), where the translates k are taken along a lattice 1/R d and A is a dilation matrix that expansively maps 1 into itself. Refinable function

On Approximation by Translates of Global
On Approximation by Translates of Globally Supported Functions
โœ J.J. Lei ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 478 KB

We consider \(L_{p}\)-approximation ( \(1 \leqslant p \leqslant \infty\) ) from the dilates of a space generated by a finite number of functions that have mild polynomial decay at infinity. In particular, the local-controlled density order of such a family of approximating spaces is characterized in

On Approximation by a Nonfundamental Seq
On Approximation by a Nonfundamental Sequence of Translates
โœ Badih Ghusayni ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 117 KB

If f t and its Fourier transform F t satisfy some growth conditions and if c n 0 is a sequence of distinct real numbers satisfying a certain separation condition, we ลฝ . represent those functions g t which are in the closure of the linear span of a ร„ ลฝ .4 ลฝ . nonfundamental sequence f c y t in L R .