[Author]
 Sergey M. Masharsky

[Title]
 Autoreversal Haar--Chrestenson spectra

[AMS Subj-class]
 42C10 Fourier series in special orthogonal functions

[Abstract]
 Two orthogonal bases generating discrete Haar--Chrestenson transforms
 related with subsampling in frequency and subsampling in time are
 considered. The spectra of shifts of a unit impulse in these bases are
 calculated. The notion of logarithmically autoreversal spectrum is
 introduced. The relation between signals that have the same spectrum
 in considered bases is established, provided that this spectrum is
 logarithmically autoreversal. The dimension of a set of logarithmically
 autoreversal spectra is calculated.

[Keywords]
 Haar--Chrestenson bases, wavelet expansions, autoreversal spectrum

[Comments]
 AmSTeX, Russian (10 pp., 1 table)

[Contact e-mail]
 smash@scientist.com