Research output: Contribution to journal › Article
HAAR BASES FOR L^2(Q_2^2) GENERATED BY ONE WAVELET FUNCTION. / Albeverio, S.; Skopina, M.
In: International Journal of Wavelets, Multiresolution and Information Processing, Vol. 10, No. 5, 2012, p. 1250042/1-1250042/13.Research output: Contribution to journal › Article
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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 -
ID: 5361822