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Gabor Wavelet Transformation on the Sphere and Its Related Topic

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Analysis, Probability, Applications, and Computation

Part of the book series: Trends in Mathematics ((RESPERSP))

Abstract

We studied the Gabor wavelet transform of analytic functionals on the sphere in general dimension. Then, we studied the Gabor wavelet transformation on the two-dimensional sphere and its inverse transformation. In this note, following our previous results, to understand the Gabor wavelet transformation on the sphere, we consider some Gabor wavelet transforms of analytic functionals and square integrable functions on the sphere.

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References

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  4. K. Fujita, Gabor transformation on the Sphere and its inverse transformation, in New Trends in Analysis and Interdisciplinary Applications, Trends in Mathematics. Proceedings of the 10th ISAAC Congress (Birkhäuser, Basel, 2017), pp. 573–580. https://doi.org/10.1007/978-3-319-48812-7_72

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Author information

Authors and Affiliations

  1. University of Toyama, Gofuku, Toyama, Japan

    Keiko Fujita

Authors
  1. Keiko Fujita
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Correspondence to Keiko Fujita .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Linnaeus University, Växjö, Sweden

    Karl‐Olof Lindahl

  2. Department of Mathematics, Linnaeus University, Växjö, Sweden

    Torsten Lindström

  3. Department of Mathematics, University of Torino, Torino, Italy

    Luigi G. Rodino

  4. Department of Mathematics, Linnaeus University, Växjö, Sweden

    Joachim Toft

  5. Department of Mathematics, Linnaeus University, Växjö, Sweden

    Patrik Wahlberg

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Fujita, K. (2019). Gabor Wavelet Transformation on the Sphere and Its Related Topic. In: Lindahl, K., Lindström, T., Rodino, L., Toft, J., Wahlberg, P. (eds) Analysis, Probability, Applications, and Computation. Trends in Mathematics(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-04459-6_51

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