108
Views
0
CrossRef citations to date
0
Altmetric
Research Article

Expressing Hilbert and Riesz transforms in terms of wavelet transforms

&
Pages 365-370 | Received 30 Mar 2022, Accepted 15 Sep 2022, Published online: 25 Sep 2022

References

  • Daubechies I. Ten lectures on wavelets. Philadelphia (PA): Society for Industrial and Applied Mathematics (SIAM); 1992. (CBMS-NSF regional conference series in applied mathematics; 61).
  • Murenzi R. Wavelet transforms associated to the n-dimensional Euclidean group with dilations: signal in more than one dimension. In: Wavelets (Marseille, 1987). Berlin: Springer; 1989. p. 239–246. (Inverse probl theoret imaging).
  • Lebedeva EA, Postnikov EB. On alternative wavelet reconstruction formula: a case study of approximate wavelets. R Soc Open Sci. 2014;1.Article ID 140124
  • Holschneider M. Inverse Radon transforms through inverse wavelet transforms. Inverse Probl. 1991;7(6):853–861.
  • Stein EM, Weiss G. Introduction to Fourier analysis on Euclidean spaces. Princeton (NJ): Princeton University Press; 1971. (Princeton mathematical series; no. 32).
  • Frazier M, Jawerth B, Weiss G. Littlewood-Paley theory and the study of function spaces. Providence (RI): American Mathematical Society; 1991. (CBMS regional conference series in mathematics; 79).
  • Brackx F, Sommen F. Clifford-Hermite wavelets in Euclidean space. J Fourier Anal Appl. 2000;6(3):299–310.
  • Moritoh S, Takemoto N. Further research on wavelet inversion formula. Annual Report of Graduate School of Human Culture, Nara Women's Univ. 2018;33:107–111.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.