4 citations · 6 across the 3 of their papers we have counts for
5 papers
An equivalence relation on wavelets in higher dimensions associated with matrix dilations
Biswaranjan Behera
We introduce an equivalence relation on the set of single wavelets of L^2(R^n) associated with an arbitrary dilation matrix. The corresponding equivalence classes are characterized…
Non-MSF wavelets for the Hardy space H^2(\R)
Biswaranjan Behera
We prove three results on wavelets for the Hardy space H^2(\R). All wavelets constructed so far for H^2(\R) are MSF wavelets. We construct a family of H^2-wavelets which are not MS…
Large classes of minimally supported frequency wavelets of L^2(\R) and H^2(\R)
Nicola Arcozzi, Biswaranjan Behera, Shobha Madan
We introduce a method to construct large classes of MSF wavelets of the Hardy space H^2(\R) and symmetric MSF wavelets of L^2(\R), and discuss the classification of such sets. As a…
Estimation of dimension functions of band-limited wavelets
Biswaranjan Behera
The dimension function D_psi of a band-limited wavelet is bounded by n if the support of its Fourier transform is contained in the interval [-{2^(n+2)/3}pi, {2^(n+2)/3}pi]. For eac…
Multiwavelet packets and frame packets of $L^2({\mathbb R}^d)
Biswaranjan Behera
The orthonormal basis generated by a wavelet of has poor frequency localization. To overcome this disadvantage Coifman, Meyer, and Wickerhauser constructed wavelet…