Geodesic
Non-MSF Wavelets for the Hardy Space $H^2({\Bbb R})$
Biswaranjan Behera1
1 Statistics and Mathematics Unit Indian Statistical Institute 203, B. T. Road Calcutta 700108, India
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004) no. 2, pp. 169-178.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

All wavelets constructed so far for the Hardy space $H^2({\Bbb R})$ are MSF wavelets. We construct a family of $H^2$-wavelets which are not MSF. An equivalence relation on $H^2$-wavelets is introduced and it is shown that the corresponding equivalence classes are non-empty. Finally, we construct a family of $H^2$-wavelets with Fourier transform not vanishing in any neighbourhood of the origin.
DOI : 10.4064/ba52-2-7
Keywords: wavelets constructed far hardy space bbb msf wavelets construct family wavelets which msf equivalence relation wavelets introduced shown corresponding equivalence classes non empty finally construct family wavelets fourier transform vanishing neighbourhood origin

Biswaranjan Behera 1

1 Statistics and Mathematics Unit Indian Statistical Institute 203, B. T. Road Calcutta 700108, India 
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Biswaranjan Behera. Non-MSF Wavelets for the Hardy Space $H^2({\Bbb R})$. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004) no. 2, pp. 169-178. doi : 10.4064/ba52-2-7. http://geodesic.mathdoc.fr/articles/10.4064/ba52-2-7/

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