Výsledky vyhledávání - "Masaaki Eguchi"

On Sampling Formulas on Symmetric Spaces

Autor: Masaaki Eguchi, Keisaku Kumahara, Mitsuhiko Ebata, Shin Koizumi

Publikováno v: Journal of Fourier Analysis and Applications. 12:1-15

We give a sampling formula using the Radon transform along a maximal geodesic subspace of the Riemannian symmetric space. For the real hyperbolic space we can get a total sampling formula. To get this formula, we prepare a sampling formula for the sp

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::1fb03f6ec6a65f014513f39d318d458b
https://doi.org/10.1007/s00041-005-4014-0

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An Lp Version of the Hardy Theorem for Motion Groups

Autor: Shin Koizumi, Masaaki Eguchi, Keisaku Kimahara

Publikováno v: Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics. 68:55-67

We describe a generalization of the Hardy theorem on the motion group. We prove that for some weight functions νω growing very rapidly and a measurable function f, the finiteness of the Lp-norm of vf and the Lq-norm of ωf implies f=0 (almost every

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::224af119ac54cd04b8f56268cfe597ab
https://doi.org/10.1017/s1446788700001579

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Real-space investigation of initial growth process of hydrogenated amorphous silicon on a graphite substrate

Autor: Masaaki Eguchi, Hironobu Sakata, H. Koinuma, Seiji Tsuboi, Mitsutaka Matsuse, Masashi Kawasaki

Publikováno v: Physical Review B. 53:12585-12588

Initial growth of hydrogenated amorphous silicon (a-Si:H) from silane plasma on a cleaved surface of highly oriented pyrolytic graphite (HOPG) has been investigated by means of in situ x-ray photoelectron spectroscopy (XPS) and atomic force microscop

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::19b2ecd46b7f59a7db5fde47a1c37aae
https://doi.org/10.1103/physrevb.53.12585

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Analogues of sampling theorems for some homogeneous spaces

Autor: Keisaku Kumahara, Masaaki Eguchi, Shin Koizumi, Mitsuhiko Ebata

Publikováno v: Hiroshima Math. J. 36, no. 1 (2006), 125-140

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 ðxkÞ at the sampling points fxkg. We obtain analogues of this

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::20227336017828f9bb04fe9ce43b0008
https://doi.org/10.32917/hmj/1147883400

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The Cowling-Price theorem for semisimple Lie groups

Autor: Masaaki Eguchi, Mitsuhiko Ebata, Shin Koizumi, Keisaku Kumahara

Publikováno v: Hiroshima Math. J. 32, no. 2 (2002), 337-349

M. G. Cowling and J. F. Price showed a generalization of Hardy’s theorem as follows. If v and w grow very rapidly, then the finiteness of kvf kp and kwf kq implies that f 1⁄4 0, where f denotes the Fourier transform of f . We give an analogue of

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::48f8f5dff6b974ee09b96ab79f09062a
https://doi.org/10.32917/hmj/1151007562

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The expressions of the Harish-Chandra C-functions of semisimple Lie groups Spin(n,1), SU(n,1)

Autor: Masaichi Mamiuda, Shin Koizumi, Masaaki Eguchi

Publikováno v: J. Math. Soc. Japan 51, no. 4 (1999), 955-985

We give the recursion formula of the Harish-Chandra $C$ -function with respect to the highest weight of the representations of $K$ . Using this formula, we get the explicit expressions of the Harish-Chandra $C$ -functions for $Spin(n, 1)$ and $SU(n,1

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b62ae3eba5c61a9e3e6d506d1e31ba93
https://doi.org/10.2969/jmsj/05140955

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