[
O. Ahmad, M.Y. Bhat, N. A. Sheikh, Construction of Parseval Framelets Associated with GMRA on Local Fields of Positive Characteristic, Numerical Functional Analysis and optimization (2021), https://doi.org/10.1080/01630563.2021.1878370.10.1080/01630563.2021.1878370
]Search in Google Scholar
[
O. Ahmad, N. Ahmad, Construction of Nonuniform Wavelet Frames on Non-Archimedean Fields, Math. Phy. Anal. and Geometry, 23 (47) (2020).10.1007/s11040-020-09371-1
]Search in Google Scholar
[
O. Ahmad, N. A Sheikh, K. S Nisar, F. A. Shah, Biorthogonal Wavelets on Spectrum, Math. Methods in Appl. Sci, (2021) 1–12. https://doi.org/10.1002/mma.7046.10.1002/mma.7046
]Search in Google Scholar
[
O. Ahmad, Nonuniform Periodic Wavelet Frames on Non-Archimedean Fields, Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica, 1-17, (2) (2020) doi: 10.17951/a.2020.74.2.1-17.10.17951/a.2020.74.2.1-17
]Search in Google Scholar
[
O. Ahmad, N. A Sheikh, Explicit Construction of Tight Nonuniform Framelet Packets on Local Fields, Operators and Matrices 15 (1) (2021), 131–149.10.7153/oam-2021-15-10
]Search in Google Scholar
[
O. Ahmad, N.A. Sheikh, M. A. Ali, Nonuniform nonhomogeneous dual wavelet frames in Sobolev spaces in L2(K), Afr. Mat., (2020) doi.org/10.1007/s13370-020-00786-1.
]Search in Google Scholar
[
O. Ahmad and N. A. Sheikh, On Characterization of nonuniform tight wavelet frames on local fields, Anal. Theory Appl., 34 (2018) 135-146.
]Search in Google Scholar
[
O. Ahmad, F. A. Shah and N. A. Sheikh, Gabor frames on non-Archimedean fields, International Journal of Geometric Methods in Modern Physics, 15 (2018) 1850079 (17 pages).10.1142/S0219887818500792
]Search in Google Scholar
[
S. Albeverio, S. Evdokimov, and M. Skopina, p-adic nonorthogonal wavelet bases, Proc. Steklov Inst. Math., 265 (2009), 135-146.
]Search in Google Scholar
[
S. Albeverio, S. Evdokimov, and M. Skopina, p-adic multiresolution analysis and wavelet frames, J. Fourier Anal. Appl., 16 (2010), 693-714.10.1007/s00041-009-9118-5
]Search in Google Scholar
[
S. Albeverio, A. Khrennikov, and V. Shelkovich, Theory of p-adic Distributions: Linear and Nonlinear Models, Cambridge University Press, 2010.10.1017/CBO9781139107167
]Search in Google Scholar
[
S. Albeverio, R. Cianci, and A. Yu. Khrennikov, p-Adic valued quantization, p-Adic Numbers Ultrametric Anal. Appl. 1, 91–104 (2009).10.1134/S2070046609020010
]Search in Google Scholar
[
J. J. Benedetto and R. L. Benedetto, A wavelet theory for local fields and related groups, J. Geom. Anal. 14 (2004) 423-456.10.1007/BF02922099
]Search in Google Scholar
[
F. Bastin and L. Simons, About Nonstationary Multiresolution Analysis and Wavelets, Results. Math. 63 (2013), 485–500.10.1007/s00025-011-0212-z
]Search in Google Scholar
[
M. Z. Berkolayko, I. Y. Novikov, On infinitely smooth compactly supported almost-wavelets, Math. Notes 56 (3-4) (1994) 877-883.10.1007/BF02362405
]Search in Google Scholar
[
C. de Boor, R. DeVore, A. Ron, On the construction of multivariate (pre)wavelets, Constr. Approx. 9 (1993) 123-166.10.1007/BF01198001
]Search in Google Scholar
[
I. Daubechies, Ten Lectures on Wavelets, CBMS-NSF Series in Applied Mathematics, SIAM, Philadelphia, 1992.10.1137/1.9781611970104
]Search in Google Scholar
[
S. Evdokimov and M. Skopina, 2-adic wavelet bases, Proc. Steklov Inst. Math., 266 (2009), S143-S15410.1134/S008154380906011X
]Search in Google Scholar
[
E. A. Lebedeva, On a connection between nonstationary and periodic wavelets, J. Math. Anal. Appl.
]Search in Google Scholar
[
Y. Farkov, Orthogonal wavelets on locally compact abelian groups, Funct. Anal. Appl., 31 (1997), 451 (1) (2017) 434-447.10.1007/BF02466067
]Search in Google Scholar
[
Y. Farkov, Multiresolution Analysis and Wavelets on Vilenkin Groups, Facta Universitatis (NIS), Ser.: Elec. Energ., 21 (2008), 309-325.
]Search in Google Scholar
[
J. P. Gabardo and M. Nashed, Nonuniform multiresolution analyses and spectral pairs, J. Funct. Anal. 158 (1998) 209-241.10.1006/jfan.1998.3253
]Search in Google Scholar
[
J. P. Gabardo and X. Yu, Wavelets associated with nonuniform multiresolution analyses and one-dimensional spectral pairs, J. Math. Anal. Appl., 323 (2006) 798-817.
]Search in Google Scholar
[
H. K. Jiang, D.F. Li and N. Jin, Multiresolution analysis on local fields, J. Math. Anal. Appl. 294 (2004) 523-532.10.1016/j.jmaa.2004.02.026
]Search in Google Scholar
[
A.Khrennikov andV.Shelkovich, Non-Haar p-adic wavelets and their application to pseudo-differential operators and equations, Appl. Comput. Harmon. Anal., 28 (2010) 1-23.
]Search in Google Scholar
[
A. Khrennikov, V. Shelkovich, and M. Skopina, p-adic refinable functions and MRA-based wavelets, J. Approx. Theory. 161 (2009), 226-238.10.1016/j.jat.2008.08.008
]Search in Google Scholar
[
A. Khrennikov, K. Oleschko, M.J.C. López, Application of p-adic wavelets to model reaction-diffusion dynamics in random porous media. J. Fourier Anal. Appl., 22 (2016) 809-822.
]Search in Google Scholar
[
A. Khrennikov, Modeling of Processes of Thinking in p-adic Coordinates [in Russian], Fizmatlit, Moscow (2004).
]Search in Google Scholar
[
S. Kozyrev and A. Khrennikov, p-adic integral operators in wavelet bases, Doklady Math., 83 (2011), 209–212.10.1134/S1064562411020220
]Search in Google Scholar
[
S. Kozyrev, A. Khrennikov, and V. Shelkovich, p-Adic wavelets and their applications, Proc. Steklov Inst. Math., 285 (2014), 157-196.10.1134/S0081543814040129
]Search in Google Scholar
[
W. C. Lang, Orthogonal wavelets on the Cantor dyadic group, SIAM J. Math. Anal., 27 (1996), 305–312.10.1137/S0036141093248049
]Search in Google Scholar
[
W. C. Lang, Wavelet analysis on the Cantor dyadic group, Houston J. Math., 24 (1998), 533-544.
]Search in Google Scholar
[
W. C. Lang, Fractal multiwavelets related to the cantor dyadic group, Int. J. Math. Math. Sci. 21 (1998), 307-314.10.1155/S0161171298000428
]Search in Google Scholar
[
D. F. Li and H. K. Jiang, The necessary condition and sufficient conditions for wavelet frame on local fields, J. Math. Anal. Appl. 345 (2008) 500-510.10.1016/j.jmaa.2008.04.031
]Search in Google Scholar
[
S. G. Mallat, Multiresolution approximations and wavelet orthonormal bases of L2(R), Trans. Amer. Math. Soc. 315 (1989) 69-87.
]Search in Google Scholar
[
S. G. Mallat, A Wavelet Tour of Signal Processing, Academic Press Inc., 1st Edition 1998, 2nd Edition 1999.10.1016/B978-012466606-1/50003-9
]Search in Google Scholar
[
F.A. Shah and O. Ahmad, Wave packet systems on local fields, Journal of Geometry and Physics, 120 (2017) 5-18.10.1016/j.geomphys.2017.05.015
]Search in Google Scholar
[
F. A. Shah, O. Ahmad and A. Rahimi, Frames Associated with Shift Invariant Spaces on Local Fields, Filomat 32 (9) (2018) 3097-3110.10.2298/FIL1809097S
]Search in Google Scholar
[
F. A. Shah and Abdullah, Nonuniform multiresolution analysis on local fields of positive characteristic, Complex Anal. Opert. Theory, 9 (2015) 1589-1608.10.1007/s11785-014-0412-0
]Search in Google Scholar
[
M. H. Taibleson, Fourier Analysis on Local Fields, Princeton University Press, Princeton, NJ, 1975.
]Search in Google Scholar