Wavelets for nonuniform non-stationary MRA on $H^s(\mathbb{K})$

  • Ashish Pathak Banaras Hindu University
  • Guru P. Singh Banaras Hindu Uiniversity
DOI: https://doi.org/10.5269/bspm.52573

Resumen

In this paper, we are defined the nonuniform non-stationary multiresolution analysis (NUNSMRA) on Sobolev space over local fields ($H^s(\mathbb{K})$) and with help of NUNSMRA orthonormal wavelets are constructed.

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Citas

H. Jiang, D. Li and N. Jin, Multiresolution analysis on local fields, J. Math. Anal. Appl. 294, 523-532, (2004). https://doi.org/10.1016/j.jmaa.2004.02.026

D. Ramakrishnan and R. J. Valenza, Fourier Analysis on Number Fields, Graduate Texts in Mathematics 186, SpringerVerlag, New York, (1999). https://doi.org/10.1007/978-1-4757-3085-2

M. H. Taibleson, Fourier Analysis on Local Fields, Mathematical Notes 15, Princeton University Press, Princeton, NJ, (1975).

Biswaranjan Behera and Qaiser Jahan, Multiresolution analysis on local fields and characterization of scaling functions, Adv. Pure Appl. Math. 3, 181-202, (2012). https://doi.org/10.1515/apam-2011-0016

Ashish Pathak, Continuous wavelet transform on local fields . Bol. Soc. Parana. Mat.,34(3) No.2, 113-121 , (2016). https://doi.org/10.5269/bspm.v34i2.27340

Ashish Pathak and Guru P. Singh, Wavelets in Sobolev space over loacl fields of positive characteristic, Int. Jou. of Wavelets Multuresolut Inf. Process., 16(4), (2018). https://doi.org/10.1142/S0219691318500273

Ashish Pathak, Dileep Kumar and Guru P. Singh, The Necessary Condition and Sufficient conditions for Wavelet Frames in Sobolev Space over Local field of Positive characteristic, Bol. Soc. Paran. Mat., 39(3)(2021) 81-92. https://doi.org/10.5269/bspm.40871

Ashish Pathak and Dileep Kumar, Characterization of Multiwavelets and MRA Wavelets in Hs (F), Int. J. Appl. Comput. Math. 5(6), 143, (2019). https://doi.org/10.1007/s40819-019-0725-9

Ashish Pathak and Guru P. Singh, Biorthogonal Wavelets in Sobolev Space Over Local Fields of Positive Characteristic, Int. J. Appl. Comput. Math. 6(2), 25, (2020). https://doi.org/10.1007/s40819-020-0782-0

Ashish Pathak and Guru P. Singh, Multilevel Wavelet Packet on Sobolev space over Local field of Positive Characteristic.(Communicated)

Ashish Pathak and Dileep Kumar, Multuresolution Analysis on Sobolev Space over Local fields of Positive Characteristic and Characterization of scaling function.(communicated ).

Ashish Pathak and Dileep Kumar, Existance of Unconditional Wavelet Bases for Lp- Norm over a Local Fields of positive Characteristic,(communicated ).

Shiva Mittal and Niraj K. Shukla, Generalized nonuniform multiresolution analyses, Colloq. Math. 153, 1, 121-147, (2018). https://doi.org/10.4064/cm6968-11-2016

Niraj K. Shukla, Saurabh Chandra Maury and Shiva Mittal, Semi-orthogonal Parseval wavelets associated with GMRAs on local fields of positive characteristic, Mediterr. J. Math. 16,no. 5, Art. 120, 20, (2019). https://doi.org/10.1007/s00009-019-1383-1

Nadya A. S. Atlouba, Shiva Mittal and Niraj K. Shukla, characterization of nonuniform multiwavelets using dimension function, Results Math. 72, 3, 1239-1255, (2017). https://doi.org/10.1007/s00025-016-0648-2

Publicado
2022-12-21
Número
Vol. 41 (2023)
Sección
Articles

Derechos de autor 2022 Boletim da Sociedade Paranaense de Matemática

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Esta obra está bajo licencia internacional Creative Commons Reconocimiento 4.0.

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