Spectral matrices for first and second order selfadjoint ordinary differential operators with diverging potentials

MR0775207 Kaneta, Hitoshi Hitoshi KANETA Spectral matrices for first and second order selfadjoint ordinary differential operators with diverging potentials Funkcialaj Ekvacioj. Serio Internacia 27 1984 211--227 http://fe.math.kobe-u.ac.jp/FE/Free/vol27/fe27-2-5.pdf http://fe.math.kobe-u.ac.jp/FE/FE_pdf_with_bookmark/FE21-30-en_KML/fe27-211-227/fe27-211-227.pdf http://www.ams.org/mathscinet-getitem?mr=MR0775207 fe27-211-227 1984 Spectral Matrices for First and Second Order Selfadjoint Ordinary Differential Operators with Diverging Potentials KANETA, Hitoshi KANETA, Hitoshi 1 Akhiezer, N. I.; Glazman, I. M. Theory of linear operors in Hilbert space, Vol. II Pitman 1981 (English translation) 000 MR0615737 Cache/Ak/Akhiezer,operors,*,1981,1982 2 Atkinson, F. V. Discrete and continuous boundary problems Academic Press 1964 MR0176141 100 Cache/At/Atkinson,continuous,*,1964,1965 xiv+570 3 Coddington, E. A.; Levinson, N. Theory of ordinary differential equations McGraw-Hill 1955 MR0069338 100 Cache/Co/Coddington,ordinary,*,1955,1956 xii+429

4 Davies, E. B.; Simon, B. Scattering theory for systems with different asymptotics on the left and right Comm. Math. Phys. 63 1978 277-301 MR0513906 Cache/Da/Davies,asymptotics,Comm*,1078,1079

5 Dunford, N.; Schwartz, J. T. Linear operators, Part II Interscience 1963 MR0188745 ix+pp. 859--1923+7 6 Itatsu, S.; Kaneta, H. Spectral matrices for first and second order selfadjoint ordinary differential operators with long range potentials Funkcial. Ekvac. 24 1981 23-45 MR0634891 0634891 100 Cache/It/Itatsu,selfadjoint,Funkcial*,1981,1982 7 Itatsu, S.; Kaneta, H. Spectral matrices for first and second order selfadjoint ordinary differential operators with short range potentials Funkcial. Ekvac. 24 1981 167-186 MR0645987 0645987 100 Cache/It/Itatsu,selfadjoint,Funkcial*,1981,1982

8 Kaneta, H. Decomposition of representation of $SL(2,\mathbb{C})$ induced by the continuous series of $E(2)$ Nagoya Math. J. 78 1980 95-111 MR0571439 78 Cache/Ka/Kaneta,representation,Nagoya*,1980,1981

9 Kaneta, H. Irreducibility of some unitary representations of the Poincaré group with respect to the Poincaré subsemigroup I Nagoya Math. J. 78 1980 113-136 MR0571440 100 Cache/Ka/Kaneta,representations,Nagoya*,1980,1981

10 Kaneta, H. Irreducibility of some unitary representations of the Poincaré group with respect to the Poincaré subsemigroup II Nagoya Math. J. 87 1982 147-174 MR0676592 88 Cache/Ka/Kaneta,representations,Nagoya*,1982,1983

11 Kato, T. Perturbation theory for linear operators Springer 1980 MR0407617 Cache/Ka/Kato,Perturbation,*,1980,1981

12 Kodaira, K. The eigenvalue problem for ordinary differential equations of the second order and Heisenberg's theory of $S$-matrices Amer, J. Math. 71 1949 921-945 MR0033421 Cache/Ko/Kodaira,eigenvalue,Amer,*,1949,1950

13 Levitan, B. M.; Sargsjan, I. S. Introduction to spectral theory: selfadjoint ordinary differential operators Translation of Mathematical Monographs, vol. 39, Providence, AMS 1975 MR0369797 100 Cache/Le/Levitan,Introduction,*,1975,1976 xi+525

14 Martynov, V. A. Condition for discreteness and continuity of the spectrum of a selfadjoint system of first-order differential equations Dokl. Akad. Nauk SSSR 165 1965 996-999 MR0193542 85 Cache/Ma/Martynov,discreteness,Dokl*,1965,1966

15 Molchanov, A. M. Conditions for discretense of the spectrum of second-order selfadjoint differential operators Trudy Moskov. Mat. Obšč. 2 1953 169-199 MR0057422 Cache/Mo/Molchanov,second-order,Trudy*,1953,1954

16 Naimark, M. A. Linear differential operators, Part II Frederic Ungar 1968 xv+352 MR0262880 72 Cache/Na/Naimark,Linear,*,1968,1969

17 Tatsuuma, N. Decomposition of representations of three dimentional Lorentz group Proc. Japan Acad. 36 1962 12-14 MR0140618 75 Cache/Ta/Tatsuuma,representations,Proc*,1962,1963

18 Titchmarsh, E. C. Eigenfunction expansions associated with second-order differential equation, Part II Oxford, Claredon Press 1958 MR0094551 88 Cache/Ti/Titchmarsh,Eigenfunction,*,1962,1963 vi+203