TY - JOUR

T1 - Wavelet frames on the sets of M-positive vectors

AU - Бабушкин, Максим Владимирович

AU - Скопина, Мария Александровна

PY - 2026/2/18

Y1 - 2026/2/18

N2 - Wavelets on the spaces of M-positive vectors are studied. Such a space is a multidimensional analog of the half-line in Walsh analysis. Similarly to the half-line, in this spaces there exists a class of compactly supported test functions having compactly supported Fourier transforms. Wavelet frames consisting of the test functions are of special interest because they may be useful for applications to signal processing. The paper suggests a method of constructing dual wavelet frames of such a type. Bibliography: 12 titles.

AB - Wavelets on the spaces of M-positive vectors are studied. Such a space is a multidimensional analog of the half-line in Walsh analysis. Similarly to the half-line, in this spaces there exists a class of compactly supported test functions having compactly supported Fourier transforms. Wavelet frames consisting of the test functions are of special interest because they may be useful for applications to signal processing. The paper suggests a method of constructing dual wavelet frames of such a type. Bibliography: 12 titles.

UR - https://www.scopus.com/pages/publications/105030509473

UR - https://www.mendeley.com/catalogue/feb64aae-df9c-35f9-8327-31dae99b95a7/

U2 - 10.1007/s10958-026-08231-7

DO - 10.1007/s10958-026-08231-7

M3 - Article

VL - 296

SP - 1

EP - 19

JO - Journal of Mathematical Sciences (Switzerland)

JF - Journal of Mathematical Sciences (Switzerland)

SN - 1072-3374

IS - 1

ER -