Analogues of sampling theorems for some homogeneous spaces

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概要

• 論文の詳細を見る

• Sampling theorems are one of the basic tools in information theory. The signal function $f$ whose band-region is contained in a certain interval can be reconstructed from their values $f(x_k)$ at the sampling points $\{x_k\}$. We obtain analogues of this theorem for the cases of the Fourier-Jacobi series, the complex sphere $S_c^{n-1}$ and the complex semisimple Lie groups. And as an application of these formulae, we show a version of the sampling theorem for the Radon transform on the complex hyperbolic space.

• 広島大学の論文

著者

• Koizumi Shin

  Faculty Of Economy Management And Information Science Onomichi University

• EGUCHI Masaaki

  Faculty of Integrated Arts and Sciences Hiroshima University

• Ebata Mitsuhiko

  Kagawa Seiryo high school

• Kumahara Keisaku

  The University of the Air

関連論文

• The expressions of the Harish-Chandra C-functions of semisimple Lie group Spin(n, l), SU(n, l)
• Analogues of sampling theorems for some homogeneous spaces
• An analogue of the Hardy theorem for the Cartan motion group

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