arXiv subjects
Publications and source records attributed to Debasis Haldar.
This paper presents a discussion on multiframelet set, multiwavelet set and set correspond to super wavelet on local fields of positive characteristic. We characterize Parseval multiframelet set and give equivalent conditions multiwavelet set holds. Furthurmore, we characterize MRA multiwavelet set with the help of dimension function.
The main goal of this paper is to develop the MRA theory along with wavelet theory in L2(Qp). Generalized scaling sets are important in wavelet theory because it determine multiwavelet sets. Although the theory of scaling set and generalized scaling set on R and many other local field of positive characteristic are available but not on Qp. This article contains discussion of some necessary conditions of scaling set and characterize generalized scaling set with examples.
This paper produces various results on $p$-adic multiframelet. Multiframelet is a frame-like sequence generated by multiple functions along with wavelet structure. Various properties of multiframelet in $L^{2}(\mathbb{Q}_{p})$ have been analyzed. Also multiframelet operator on $p$-adic setting has been produced and characterized. Furthermore, multiframelet set in $\mathbb{Q}_{p}$ has been engendered and scrutinized.
This paper presents a discussion on $p$-adic multiframe by means of its wavelet structure, called as multiframelet, which is build upon $p$-adic wavelet construction. Multiframelets create much excitement in mathematicians as well as engineers on account of its tremendous potentiality to analyze rapidly changing transient signals. Moreover, multiframelets can produce more accurately localized temporal and frequency information, due to this fact it produce a methodology to reconstruct signals by means of decomposition technique. Various properties of multiframelet sequence in $L^{2}(\mathbb{Q}_{p})$ have been analyzed. Furthermore, multiframelet set in $\mathbb{Q}_{p}$ has been engendered and scrutinized.