Approximate Identities on Non-Euclidean Manifolds

Authors

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

DOI:

https://doi.org/10.26713/cma.v3i3.206

Keywords:

Convolution, Identity approximate, One-sheeted hyperboloid

Abstract

We define a convolution and present a theory for approximate identity on the non-Euclidean manifolds. Here we focus on the hyperboloid and sphere.

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References

A. Askari Hemmat and Z. Yazdani Fard, Continuous wavelet transform on the one-sheeted hyperboloid, Communications in Mathematics and Applications, 2 (2-3) (2011), 131–143.

G. Bachman, L. Narici and E. Beckenstein, Fourier and Wavelet Analysis, Springer-Verlag, New York, 2000.

I. Bogdanova, P. Vandergheynst and J.-P. Gazeau, Continuous Wavelet transform on the hyperboloid, Applied Comput. Harmon. Anal 23(2007), 285–306.

L. Debnath, Wavelet Transforms and Their Applications, Birkhauser, 2002.

R. Gilmore, Lie Groups, Lie Algebras, and Some of Their Applications, John Wiley and Sons Inc, 1974.

W. Rudin, Real and Complex Analysis, McGraw-Hill, New York, 1986.

W. Rudin, Fourier Analysis on Groups, Interscience Publishers, Inc., New York, 1962.

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CITATION

How to Cite

Hemmat, A. A., & Fard, Z. Y. (2012). Approximate Identities on Non-Euclidean Manifolds. Communications in Mathematics and Applications, 3(3), 215–222. https://doi.org/10.26713/cma.v3i3.206

Issue

Vol. 3 No. 3 (2012)

Section

Research Article

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