Zobrazeno 1 - 10 of 14 pro vyhledávání: '"Masaharu Arai"'
1
Education of Physical Anthropology in Elementary and Junior High Schools
Autor: Masaharu Arai
Publikováno v: Anthropological Science (Japanese Series). 115:42-46
義務教育課程における人類（ヒト）に関する学習は，「人類学」としての単元がないので，まとまった体系的な学習は行われていない。平成10年12月の中学校学習指導要領の改定で理科の
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4fe5d73ad5adef5b9817ef578cd38df6
https://doi.org/10.1537/asj.115.42
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3
Restoration of lost samples by oversampling near the Nyquist rate
Autor: Akira Nakaoka, Ryuichi Ashino, Masaharu Arai
Publikováno v: Japan Journal of Industrial and Applied Mathematics. 16:123-136
A formula in matrix form for restoration is given and the matrix with the sampling rate near the Nyquist rate is investigated. Elements of this matrix can be expanded in Laurent series of the sampling rate parameter, which is defined by the quotient
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::1c7573fe82e427723bbd01d40771dc01
https://doi.org/10.1007/bf03167527
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4
Growth order of eigenfunctions of Schrödinger operators with potentials admitting some integral conditions. I. General theory
Autor: Masaharu Arai, Jun Uchiyama
Publikováno v: Publications of the Research Institute for Mathematical Sciences. 32:581-616
In this paper we consider the sharp estimates of the growth orders of the eigenfunctions of the Schrodinger operators with potentials oscillating violently at infinity. We make use of the modified Kato's method (Comm. Pure Appl. Math., 12 (1959), 403
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https://doi.org/10.2977/prims/1195162713
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5
Growth order of eigenfunctions of Schrödinger operators with potentials admitting some integral conditions. II. Applications
Autor: Masaharu Arai, Jun Uchiyama
Publikováno v: Publications of the Research Institute for Mathematical Sciences. 32:617-631
In this paper we give applications of M. Arai and J. Uchiyama [2, Theorems 1.1 and 1. 2], which treat the sharp estimates of the growth orders of the eigenfunctions of the Schrodinger operators with potentials oscillating violently at infinity. We ca
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::8fb724e341eeb4c94a19a2170b616846
https://doi.org/10.2977/prims/1195162714
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7
Essential selfadjointness and invariance of the essential spectrum for Dirac operators
Autor: Masaharu Arai, Osanobu Yamada
Publikováno v: Publications of the Research Institute for Mathematical Sciences. 18:973-985
where «_,(j = 1, 2, 3) and a4 = /? are Hermitian symmetric, constant, 4x4 matrices and satisfy the anti-commutation relations (U) aLjQik + aikaij = 2djkI (/, k = l, 2, 3, 4) (/ is the 4x4 unit matrix). Throughout this paper the potential Q(x) is ass
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::dbee7f30438a0217dd7cee7497e27c72
https://doi.org/10.2977/prims/1195183289
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8
On essential selfadjointness, distinguished selfadjoint extension and essential spectrum of Dirac operators with matrix valued potentials
Autor: Masaharu Arai
Publikováno v: Publications of the Research Institute for Mathematical Sciences. 19:33-57
(1.2) ajak+akaj=2djkl (/, fe = l, 2, 3, 4). We denote by HQ the operator H with We denote by and | | the usual inner product and norm in C, respectively, and by ( , ) and || || the inner product and norm in the Hilbert space «#=[L2CR )II, respective
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https://doi.org/10.2977/prims/1195182974
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9
Eigenfunction expansions associated with the Schrödinger operators with long-range potentials
Autor: Masaharu Arai
Publikováno v: Publications of the Research Institute for Mathematical Sciences. 16:35-59
has the following properties: (1) £F is unitary from L2(R ; dx) onto L2(ti; dp). (2) (3?(Hfy) (Z, a) = 1(3; f) (X, a). General frameworks for formulating eigenfunction expansions have been proposed by several authors, for example by Gel'fand et al.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::7b8d57c5e0439b08a4a185e5994062a0
https://doi.org/10.2977/prims/1195187499
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