Extension domainsSobolev functionsBV functionsBoundary volumeIn this note, we prove that the boundary of a(W1,p,BV)\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\use...
We present a method for constructing tight wavelet frames on locally compact zero-dimensional groups. When constructing frames, we do not use the principle of unitary extension. We also consider the approximate properties of the resulting frames for functions from the Sobolev space with logarithmic ...
Cauchy-Riemann's equation $ \\bar{\\partial}u = f $ on $ \\mathbb C $, this article demonstrates a corona-type principle which exists as a somewhat unexpected extension of the analytic Hilbert's Nullstellensatz on $ \\mathbb C $ to the quadratic Fock-Sobolev spaces on $ \\mathbb C ...