2) Department of Mathematies Faculty of Engineering Nogoya University
訂正後 :
1) Department of Mathematics Nagoya University
2) Department of Mathematies Faculty of Engineering Nagoya University
訂正日: 2006/10/20訂正理由: -訂正箇所: 引用文献情報訂正内容: Wrong : 1) M. Š. Birman, On the spectrum of singular boundary problems, Math. Sb., 55 (1961), 125-174 (in Russian); Amer. Math. Soc. Transl., 53, 23-80. 2) M. S. Birman and V. V. Borzov, On the asymptotics of the discrete spectrum of some singular differential operators, Problem of Math. Phys., 5 (1971), 1-24 (in Russian). 3) M. Š. Birman and M. E. Solomjak, Leading term in the asymptotic spectral formula for nonsmooth elliptic problems, Anal. i Prilozen., 4 (1970), no 4, 1-13 (in Russian)=Functional. Anal. Appl., 4 (1970), 265-275. 4) F. H. Brownell and C. W. Clark, Asymptotic distribution of the eigenvalues of the lower part of the Schrödinger operator spectrum, J. Math. Mech., 10 (1961), 31-70. 5) J. Karamata, Neuer Beweis und Verallgemeinerung der Tauberschen Satze, welch die Laplaceshe und Stieltjesshe Transformation betreffen, J. Reine Angew. Math., 164 (1931), 27-39. 6) J. B. McLeod, The distribution of the eigenvalues for the hydrogen atom and similar cases, Proc. London Math. Soc., 11 (1961), 139-158. 7) S. Mizohata, Theory of partial differential equations, Iwanami, Tokyo, 1965 (in Japanese). Cambridge Univ. Press, 1973 (English translation). 8) G. V. Rozenbljum, The distribution of the discrete spectrum for singular differential operators, Dokl. Akad. Nauk SSSR, 202 (1972), 1012-1015 (in Russian); Soviet Math. Dokl., 13 (1972), 245-249. 9) H. Tamura, The asymptotic distribution of the lower part eigenvalues for elliptic operators, Proc. Japan Acad., 50 (1974), 185-187. 10) E. C. Titchmarsh, Eigenfunction expansion associated with second order differential Equations, Vol. II. Oxford univ. Press, 1958. 11) H. Tamura, The asymptotic distribution of discrete eigenvalues for Dirac operators, J. Fac. Sci. Univ. Tokyo, Sec, 1A, 23 (1976), 167-197.
Right : [1] M. Š. Birman, On the spectrum of singular boundary problems, Math. Sb., 55 (1961), 125-174 (in Russian); Amer. Math. Soc. Transl., 53, 23-80. [2] M. Š. Birman and V. V. Borzov, On the asymptotics of the discrete spectrum of some singular differential operators, Problem of Math. Phys., 5 (1971), 1-24 (in Russian). [3] M. Š. Birman and M. E. Solomjak, Leading term in the asymptotic spectral formula for nonsmooth elliptic problems, Anal. i Prilozen., 4 (1970), no 4, 1-13 (in Russian)=Functional. Anal. Appl., 4 (1970), 265-275. [4] F. H. Brownell and C. W. Clark, Asymptotic distribution of the eigenvalues of the lower part of the Schrödinger operator spectrum, J. Math. Mech., 10 (1961), 31-70. [5] J. Karamata, Neuer Beweis und Verallgemeinerung der Tauberschen Satze, welch die Laplaceshe und Stieltjesshe Transformation betreffen, J. Reine Angew. Math., 164 (1931), 27-39. [6] J. B. McLeod, The distribution of the eigenvalues for the hydrogen atom and similar cases, Proc. London Math. Soc., 11 (1961), 139-158. [7] S. Mizohata, Theory of partial differential equations, Iwanami, Tokyo, 1965 (in Japanese). Cambridge Univ. Press, 1973 (English translation). [8] G. V. Rozenbljum, The distribution of the discrete spectrum for singular differential operators, Dokl. Akad. Nauk SSSR, 202 (1972), 1012-1015 (in Russian); Soviet Math. Dokl., 13 (1972), 245-249. [9] H. Tamura, The asymptotic distribution of the lower part eigenvalues for elliptic operators, Proc. Japan Acad., 50 (1974), 185-187. [10] E. C. Titchmarsh, Eigenfunction expansion associated with second order differential Equations, Vol. II. Oxford univ. Press, 1958. [11] H. Tamura, The asymptotic distribution of discrete eigenvalues for Dirac operators, J. Fac. Sci. Univ. Tokyo, Sec, 1A, 23 (1976), 167-197.