FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2001, VOLUME 7, NUMBER 4, PAGES 955-981

I. Ya. Novikov

Abstract

View as HTML
View as gif image
View as LaTeX source

```
The paper is devoted to one-dimensional compactly supported wavelets
which are of the greatest interest for applications
because of the simplest numerical realization of expansion and synthesis
algorithms.
It contains the review of papers (known to the author) about
compactly supported wavelets and some new results
of the author on the topic.
The paper consists of 7 sections. In the second section
the problem of existence of
scaling function for wavelet bases is considered.
Sections 3 and 4 are devoted to a brief account of the multiresolution
analysis and the theory of compactly supported wavelets.
Section 5 presents results
about regularity of compactly supported wavelets
in Sobolev and Holder spaces. The final two sections are devoted
to localization of wavelets in time and in frequency.
```

All articles are published in Russian.

Main page | Contents of the journal | News | Search |

Location: http://mech.math.msu.su/~fpm/eng/k01/k014/k01401t.htm.

Last modified: April 17, 2002