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POINT-WISE CONVERGENCE OF INVERSE INTEGRAL WAVELET TRANSFORM UNDER DINI CONDITION

Abstract

The paper develops a formula for an inversion of the integral wavelet transform in the space of square-summed-up functions and reveals a point-wise convergence of the inverse wavelet transform under Dini condition.

About the Author

O. V. Doubrovina
Belarusian National Technical University
Belarus


References

1. Pinsky М. Introduction to Fourier Analysis and Wavelets. - Brooks/Cole, Pasific Grove, CA, 2002. - 376 p.

2. Чуй К. Введение в вейвлеты. - М.: Мир, 2001. - 412 с.

3. Добеши И, Десять лекций по вейвлетам. - М.: Ижевск: РХД, 2001.-463 с.

4. Колмогоров А. Н., Фомин С. В. Элементы теории функций и функционального анализа. - М.: Наука, 1981. - 543 с.


Review

For citations:


Doubrovina O.V. POINT-WISE CONVERGENCE OF INVERSE INTEGRAL WAVELET TRANSFORM UNDER DINI CONDITION. Science & Technique. 2006;(2):68-72. (In Russ.)

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ISSN 2227-1031 (Print)
ISSN 2414-0392 (Online)