On infinitely smooth almost-wavelets with compact support.

Berkolaiko, M., and Novikov, I.. "On infinitely smooth almost-wavelets with compact support.." Collectanea Mathematica 44.1-2-3 (1993): 41-46. <http://eudml.org/doc/41926>.

@article{Berkolaiko1993,
abstract = {There are known wavelets with exponential decay on infinity [2,3,4] and wavelets with compact support [5]. But these functions have finite smoothness. It is known that there do not exist infinitely differentiable compactly supported wavelets.},
author = {Berkolaiko, M., Novikov, I.},
journal = {Collectanea Mathematica},
keywords = {Ondículas; Soporte compacto; Teoría de la aproximación; infinitely smooth almost-wavelets; compact support; infinitely smooth functions},
language = {eng},
number = {1-2-3},
pages = {41-46},
title = {On infinitely smooth almost-wavelets with compact support.},
url = {http://eudml.org/doc/41926},
volume = {44},
year = {1993},
}

TY - JOUR
AU - Berkolaiko, M.
AU - Novikov, I.
TI - On infinitely smooth almost-wavelets with compact support.
JO - Collectanea Mathematica
PY - 1993
VL - 44
IS - 1-2-3
SP - 41
EP - 46
AB - There are known wavelets with exponential decay on infinity [2,3,4] and wavelets with compact support [5]. But these functions have finite smoothness. It is known that there do not exist infinitely differentiable compactly supported wavelets.
LA - eng
KW - Ondículas; Soporte compacto; Teoría de la aproximación; infinitely smooth almost-wavelets; compact support; infinitely smooth functions
UR - http://eudml.org/doc/41926
ER -