ARAI, Masaharu

Department of Mathematical Scienses,
Ritsumeikan University
1-1-1 Noji-higashi,
Shiga, JAPAN 525-8577
Email: arai-m@se.ritsumei.ac.jp

Field of study: Spectral theory of differential operators.
Post: Professor
Degree: Doctor of Science, Kyoto University

Profile

to my Home Page　（Jaqpanese　version）

List of Published Papers

2000h:35033 Arai, Masaharu; Uchiyama, Jun On the von Neumann and Wigner potentials. J. Differential Equations 157 (1999), no. 2, 348--372. (Reviewer: L. V. Kritskov) 35J10 (35P15 47F05 47N50 81Q10 81U05)

2000a:94006 Ashino, Ryuichi; Arai, Masaharu; Nakaoka, Akira Restoration of lost samples by oversampling near the Nyquist rate. Japan J. Indust. Appl. Math. 16 (1999), no. 1, 123--136. (Reviewer: Gilbert Walter) 94A20 (42C15 94A12)

98f:35032b Arai, Masaharu; Uchiyama, Jun Growth order of eigenfunctions of Schrodinger operators with potentials admitting some integral conditions. II. Applications. Publ. Res. Inst. Math. Sci. 32 (1996), no. 4, 617--631. (Reviewer: Rainer Hempel) 35J10 (35B05 35P99)

98f:35032a Arai, Masaharu; Uchiyama, Jun Growth order of eigenfunctions of Schrodinger operators with potentials admitting some integral conditions. I. General theory. Publ. Res. Inst. Math. Sci. 32 (1996), no. 4, 581--616. (Reviewer: Rainer Hempel) 35J10 (35B05 35P99)

95d:81021 Arai, Masaharu; Yamada, Osanobu On nonreal eigenvalues of Schrodinger operators in a weighted Hilbert space. Publ. Res. Inst. Math. Sci. 30 (1994), no. 1, 1--14. (Reviewer: Evgeni L. Korotyaev) 81Q10 (35P15 47F05 47N20 81U05)

93f:35160 Arai, Masaharu; Yamada, Osanobu A remark on essential spectrum of magnetic Schrodinger operators with exploding potentials. Mem. Res. Inst. Sci. Engrg. Ritsumeikan Univ. No. 50, (1991), 21--32 (1992). (Reviewer: Hitoshi Kitada) 35P05 (35J10 47F05 47N50 81Q10)

88k:65006 Arai, Masaharu; Okamoto, Kazuo; Kametaka, Yoshinori Aitken acceleration and Fibonacci numbers. Japan J. Appl. Math. 5 (1988), no. 1, 145--152. (Reviewer: F. Szidarovszky) 65B05

88c:35053 Arai, Masaharu; Nakaoka, Akira Positive solutions to some semilinear elliptic equations in $L\sp 1({R}\sp n)$. Patterns and waves, 357--367, Stud. Math. Appl., 18, North-Holland, Amsterdam-New York, 1986. (Reviewer: P. Lindqvist) 35J60

87g:11028 Arai, Masaharu; Okamoto, Kazuo; Kametaka, Yoshinori Aitken\mhy Steffensen acceleration and a new addition formula for Fibonacci numbers. Proc. Japan Acad. Ser. A Math. Sci. 62 (1986), no. 1, 5--7. (Reviewer: Neville Robbins) 11B39

85i:35106 Arai, Masaharu On essential selfadjointness, distinguished selfadjoint extension and essential spectrum of Dirac operators with matrix valued potentials. Publ. Res. Inst. Math. Sci. 19 (1983), no. 1, 33--57. (Reviewer: B. Hellwig) 35P05 (47F05 81C10)

85a:35064 Arai, Masaharu; Yamada, Osanobu Essential selfadjointness and invariance of the essential spectrum for Dirac operators. Publ. Res. Inst. Math. Sci. 18 (1982), no. 3, 973--985. 35P05 (47F05 81C10)

81h:47015 Arai, Masaharu Eigenfunction expansions associated with the Schrodinger operators with long-range potentials. Publ. Res. Inst. Math. Sci. 16 (1980), no. 1, 35--59. (Reviewer: P. A. Mishnaevski\u \i) 47A70

Arai, Masaharu On the asymptotic behavior of the solutions of some semilinear parabolic equations. Mem. Res. Inst. Sci. Engrg. Ritsumeikan Univ. , em. 27(1974), 5--16 .// its addendum ibid. 29(1975), 17--18.

47 #7521 Arai, Masaharu Absolute continuity of Hamiltonian operators with repulsive potentials. Publ. Res. Inst. Math. Sci. 7 (1971/72), 621--635. (Reviewer: J. S. Howland) 47F05

47 #3815 Arai, Masaharu; Nakaoka, Akira On some non-linear equations. Proc. Japan Acad. 48 (1972), 168--171. (Reviewer: A. Pazy) 35G30 (47H15 35J25)

37 #5547 Arai, Masaharu On the essential spectrum of the many-particle Schrodinger operator with combined Zeeman and Stark effect. Publ. Res. Inst. Math. Sci. Ser. A 3 1967/1968 271--287. (Reviewer: J. S. Howland) 35.80 (81.00)


　Miscellanies

1 414 274 Uchiyama, Jun; Arai, Masaharu Potentials of Neumann-Wigner type. (Japanese) Spectral and scattering theory and related topics (Japanese) (Kyoto, 1994). S\=urikaisekikenky\=usho K\=oky\=uroku No. 905, (1995), 57--67. 81U05 (35J10 47F05 47N50)

Ashino, Ryuichi; Arai, Masaharu; Nakaoka, Akira Note on restoration of lost samples by oversampling near the Nyquist rate, (Japanese)Mem. Res. Inst. Sci. Engrg. Ritsumeikan Univ. 54(1995), 1--4.

Arai, Masaharu On essential selfadjointness of Dirac operators.S\=urikaisekikenky\=usho K\=oky\=uroku No. 242, (1975), 10--21.

　To of this page

　 to my Home Page （Jaqpanese　version）