Continuous Wavelet Transform on the One-sheeted Hyperboloid

Authors

  • A. Askari Hemmat Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran; Department of Mathematics, Kerman Graduate University of Technology, Kerman, Iran; International Center for Science, High Technology and Environmental Sciences, Kerman, Iran
  • Z. Yazdani Fard Department of Mathematics, Shahid Bahonar University of Kerman, Kerman

DOI:

https://doi.org/10.26713/cma.v2i2-3.137

Keywords:

Continuous wavelet transform, Fourier-Helgason transform, one-sheeted hyperboloid

Abstract

In this work a constructive theory for the CWT on the one-sheeted hyperboloid, $H^{1,1}$, has been developed. The construction is based on the notion of convolution on this manifold. We defined the affine transformations on the $H^{1,1}$.\ These are of two types: motions and dilations. We defined the CWT on $H^{1,1}$ through a $H^{1,1}$-convolution and derived the corresponding admissibility condition.

Downloads

Download data is not yet available.

Downloads

Published

28-12-2011
CITATION

How to Cite

Hemmat, A. A., & Fard, Z. Y. (2011). Continuous Wavelet Transform on the One-sheeted Hyperboloid. Communications in Mathematics and Applications, 2(2-3), 131–143. https://doi.org/10.26713/cma.v2i2-3.137

Issue

Vol. 2 No. 2-3 (2011)

Section

Research Article

License

Creative Commons Licence 4.0 by  

Authors who publish with this journal agree to the following terms:

  • Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a CCAL that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
  • Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
  • Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.