On infinitely smooth almost-wavelets with compact support.
Berkolaiko, M. ; Novikov, I.
Collectanea Mathematica, Tome 44 (1993), p. 41-46 / Harvested from Biblioteca Digital de Matemáticas
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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.

Publié le : 1993-01-01
DMLE-ID : 440 
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     title = {On infinitely smooth almost-wavelets with compact support.},
     journal = {Collectanea Mathematica},
     volume = {44},
     year = {1993},
     pages = {41-46},
     zbl = {0803.42020},
     mrnumber = {MR1280723},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41926}
}

Berkolaiko, M.; Novikov, I. On infinitely smooth almost-wavelets with compact support.. Collectanea Mathematica, Tome 44 (1993) pp. 41-46. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41926/