Zobrazeno 1 - 10 of 23 pro vyhledávání: '"Osanobu Yamada"'
2
Explicit uniform bounds on integrals of Bessel functions and trace theorems for Fourier transforms
Autor: Osanobu Yamada, Takashi Okaji, Hubert Kalf
Publikováno v: Mathematische Nachrichten. 292:106-120
Explicit and partly sharp estimates are given of integrals over the square of Bessel functions with an integrable weight which can be singular at the origin. They are uniform with respect to the order of the Bessel functions and provide explicit boun
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::9d869eee6f9fb96fd4873b41bfb4d438
https://doi.org/10.1002/mana.201700326
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4
Essential self-adjointness ofn-dimensional Dirac operators with a variable mass term
Autor: Hubert Kalf, Osanobu Yamada
Publikováno v: Journal of Mathematical Physics. 42:2667-2676
We give some results about the essential self-adjointness of the Dirac operator $$ H = \sum\limits_{j = 1}^n {\alpha _j p_j } + m\left( x \right)\alpha _{n + 1} + V\left( x \right)I_N \left( {N = 2^{\left[ {\tfrac{{n + 1}} {2}} \right]} } \right), $$
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e30a25fc92aee6a00cdf1a1c8d8cf75f
https://doi.org/10.1063/1.1367331
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7
Relativistic Hamiltonians with dilation analytic potentials diverging at infinity
Autor: Osanobu Yamada, Hiroshi T. Ito
Publikováno v: J. Math. Soc. Japan 63, no. 4 (2011), 1311-1357
We investigate the spectral properties of the Dirac operator with a potential V(x) and two relativistic Schrödinger operators with V(x) and -V(x), respectively. The potential V(x) is assumed to be dilation analytic and diverge at infinity. Our appro
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cf9b7a291355945f95cbeedf8f5844a8
https://doi.org/10.2969/jmsj/06341311
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8
Sharp estimates of lower bounds of polynomial decay order of eigenfunctions
Autor: Jun Uchiyama, Osanobu Yamada
Publikováno v: Publications of the Research Institute for Mathematical Sciences. 26:419-449
~ + J^bi(x)aiJ(x) + ^ ij=i\oxi J \dXj ) where the matrix (atj(x)) is uniformly positive definite, b{(x) (1 0, y i 0, lim?/(r) = 09 a(r)-\rq2(x)
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::da58e80c93650ad34e15aaae7e21d97e
https://doi.org/10.2977/prims/1195170954
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9
Spectral Analysis of Radial Dirac Operators in the Kerr-Newman Metric and its Applications to Time-periodic Solutions
Autor: Monika Winklmeier, Osanobu Yamada
We investigate the existence of time-periodic solutions of the Dirac equation in the Kerr-Newman background metric. To this end, the solutions are expanded in a Fourier series with respect to the time variable $t$ and the Chandrasekhar separation ans
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::37910d86bf4ff779cf3d3f7d5ed1014c
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10
A note on the nonrelativistic limit of Dirac operators and spectral concentration
Autor: Osanobu Yamada, Hiroshi T. Ito
Publikováno v: Proc. Japan Acad. Ser. A Math. Sci. 81, no. 10 (2005), 157-161
We study the nonrelativistic limit of Dirac operators from the viewpoint of the spectral relationship between Dirac operators and Pauli operators. We show that Dirac operators have spectral concentration about eigenvalues of Pauli operators for a lar
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::248bb69437845f753ce562b26938a70b
http://projecteuclid.org/euclid.pja/1135791767
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