TY - JOUR

T1 - HAAR BASES FOR L^2(Q_2^2) GENERATED BY ONE WAVELET FUNCTION

AU - Albeverio, S.

AU - Skopina, M.

PY - 2012

Y1 - 2012

N2 - The concept of p-adic quincunx Haar MRA was introduced and studied in Ref. 12. In contrast to the real setting, infinitely many different wavelet bases are generated by a p-adic MRA. We give an explicit description for all wavelet functions corresponding to the quincunx Haar MRA. Each one generates an orthogonal basis, one of them was presented in Ref. 12. A connection between quincunx Haar MRA and two-dimensional separable Haar MRA is also found.

AB - The concept of p-adic quincunx Haar MRA was introduced and studied in Ref. 12. In contrast to the real setting, infinitely many different wavelet bases are generated by a p-adic MRA. We give an explicit description for all wavelet functions corresponding to the quincunx Haar MRA. Each one generates an orthogonal basis, one of them was presented in Ref. 12. A connection between quincunx Haar MRA and two-dimensional separable Haar MRA is also found.

KW - p-adic quincunx MRA

KW - p-adic separable MRA

KW - wavelet function

U2 - DOI: 10.1142/S0219691312500427

DO - DOI: 10.1142/S0219691312500427

M3 - статья

VL - 10

SP - 1250042/1-1250042/13

JO - International Journal of Wavelets, Multiresolution and Information Processing

JF - International Journal of Wavelets, Multiresolution and Information Processing

SN - 0219-6913

IS - 5

ER -