ALBERT — All Library Books, journals and Electronic Records Telegrafenberg

Hits per page

hit 1 - 1 | 1 hit

Select All Export

Electronic Resource

On the stability of wavelet and Gabor frames (Riesz bases) (1999)

Jing, Zhang

Springer

The journal of Fourier analysis and applications 5 (1999), S. 105-125

add to mindlist on the mindlist

Details

ISSN: 1531-5851

Keywords: 26B05 ; 42B10 ; 42C99 ; frame ; Gabor system ; Riesz basis ; stability ; wavelet

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract If the sequence of functions ϕj, k is a wavelet frame (Riesz basis) or Gabor frame (Riesz basis), we obtain its perturbation system ψj,k which is still a frame (Riesz basis) under very mild conditions. For example, we do not need to know that the support of ϕ or ψ $$(\hat \phi or\hat \psi )$$ is compact as in [14]. We also discuss the stability of irregular sampling problems. In order to arrive at some of our results, we set up a general multivariate version of Littlewood-Paley type inequality which was originally considered by Lemarié and Meyer [17], then by Chui and Shi [9], and Long [16].

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01274192

	Location	Call Number	Expected	Availability

Others were also interested in ...

Paper (German National Licenses)

Fulltext

hit 1 - 1 | 1 hit