The Open Mathematics Journal

2008, 1 : 19-24
Published online 2008 May 30. DOI: 10.2174/1874117400801010019
Publisher ID: TOMATJ-1-19

WAVELET BASIS IN THE SPACE C∞[–1; 1]

Alexander P. Goncharov , Ali S and Amil Kavruk

ABSTRACT

We show that the polynomial wavelets suggested by T.Kilgor and J.Prestin in [12] form a topological basis in the space C∞[–1; 1]:

Keywords:

Infinitely differentiable functions, topological bases, wavelets.