arXiv:2107.02214 Abstract | arXiv Analytics

arXiv:2107.02214 [math.FA]Abstract References Reviews Resources

p-Adic Scaling Set and Generalized Scaling Set

Published 2021-07-05Version 1

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.

Comments: 12 pages

Categories: math.FA

Subjects: 42C40, 11F85

Keywords: generalized scaling set, p-adic scaling set, wavelet theory, determine multiwavelet sets, article contains discussion

Related articles: Most relevant | Search more

arXiv:1412.3096 [math.FA] (Published 2014-12-01)

N-valid trees in wavelet theory on Vilenkin groups

G. S. Berdnikov, S. F. Lukomskii

arXiv:0710.2071 [math.FA] (Published 2007-10-10)

Generalized multiresolution analyses with given multiplicity functions

Lawrence W. Baggett, Nadia S. Larsen, Kathy D. Merrill, Judith A. Packer, Iain Raeburn

arXiv:0709.2702 [math.FA] (Published 2007-09-17, updated 2007-09-28)