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.
380 303

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Published

December 28, 2011

Issue

Vol. 2 No. 2-3 (2011)

Section

Research Article

License

Creative Commons Licence 4.0 by

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