-
2
-
-
0001539982
-
On the measure of the spectrum for the almost Mathieu operator
-
AVRON, J., SIMON, B. & MOUCHE, P. VAN, On the measure of the spectrum for the almost Mathieu operator. Comm. Math. Phys., 132 (1990), 103-118.
-
(1990)
Comm. Math. Phys.
, vol.132
, pp. 103-118
-
-
Avron, J.1
Simon, B.2
Van Mouche, P.3
-
3
-
-
0002906106
-
Uniqueness theorems in the spectral theory of y″ + (λ - q(x))y=0
-
Johan Grundt Tanums Forlag, Oslo
-
BORG, G., Uniqueness theorems in the spectral theory of y″ + (λ - q(x))y=0, in Proc. 11th Scandinavian Congress of Mathematicians, pp. 276-287. Johan Grundt Tanums Forlag, Oslo, 1952.
-
(1952)
Proc. 11th Scandinavian Congress of Mathematicians
, pp. 276-287
-
-
Borg, G.1
-
4
-
-
0038970171
-
On perturbations of a Schrödinger operator with periodic potential
-
CHULAEVSKY, V., On perturbations of a Schrödinger operator with periodic potential. Russian Math. Surveys, 36:5 (1981), 143-144.
-
(1981)
Russian Math. Surveys
, vol.36
, Issue.5
, pp. 143-144
-
-
Chulaevsky, V.1
-
5
-
-
0000976339
-
The trace formula for Schrödinger operators on the line
-
CRAIG, W., The trace formula for Schrödinger operators on the line. Comm. Math. Phys., 126 (1989), 379-407.
-
(1989)
Comm. Math. Phys.
, vol.126
, pp. 379-407
-
-
Craig, W.1
-
6
-
-
0001091673
-
Almost periodic Schrödinger operators, III. The absolutely continuous spectrum in one dimension
-
DEIFT, P. & SIMON, B., Almost periodic Schrödinger operators, III. The absolutely continuous spectrum in one dimension. Comm. Math. Phys., 90 (1983), 389-411.
-
(1983)
Comm. Math. Phys.
, vol.90
, pp. 389-411
-
-
Deift, P.1
Simon, B.2
-
8
-
-
0003004229
-
Trace formulas for Sturm-Liouville differential operators
-
DIKII, L. A., Trace formulas for Sturm-Liouville differential operators. Amer. Math. Soc. Transl. Ser. 2, 18 (1961), 81-115.
-
(1961)
Amer. Math. Soc. Transl. Ser. 2
, vol.18
, pp. 81-115
-
-
Dikii, L.A.1
-
9
-
-
34250407091
-
Periodic problems for the Korteweg-de Vries equation in the class of finite band potentials
-
DUBROVIN, B. A., Periodic problems for the Korteweg-de Vries equation in the class of finite band potentials. Functional Anal. Appl., 9 (1975), 215-223.
-
(1975)
Functional Anal. Appl.
, vol.9
, pp. 215-223
-
-
Dubrovin, B.A.1
-
11
-
-
84959808377
-
On a property of the m-coefficient of a second-order linear differential equation
-
EVERITT, W. N., On a property of the m-coefficient of a second-order linear differential equation. J. London Math. Soc., 4 (1972), 443-457.
-
(1972)
J. London Math. Soc.
, vol.4
, pp. 443-457
-
-
Everitt, W.N.1
-
12
-
-
0000224153
-
On the inverse problem for Hill's operator
-
FLASCHKA, H., On the inverse problem for Hill's operator. Arch. Rational Mech. Anal., 59 (1975), 293-309.
-
(1975)
Arch. Rational Mech. Anal.
, vol.59
, pp. 293-309
-
-
Flaschka, H.1
-
13
-
-
0001271533
-
On identities for eigenvalues of a second order differential operator
-
Russian
-
GEL'FAND, I. M., On identities for eigenvalues of a second order differential operator. Uspekhi Mat. Nauk, 11:1 (1956), 191-198 (Russian); English translation in Izrail M. Gelfand, Collected Papers, Vol. I (S. G. Gindikin, V. W. Guillemin, A. A. Kirillov, B. Kostant, S. Sternberg, eds.), pp. 510-517. Springer-Verlag, Berlin, 1987.
-
(1956)
Uspekhi Mat. Nauk
, vol.11
, Issue.1
, pp. 191-198
-
-
Gel'fand, I.M.1
-
14
-
-
0039563066
-
-
English translation in Springer-Verlag, Berlin
-
GEL'FAND, I. M., On identities for eigenvalues of a second order differential operator. Uspekhi Mat. Nauk, 11:1 (1956), 191-198 (Russian); English translation in Izrail M. Gelfand, Collected Papers, Vol. I (S. G. Gindikin, V. W. Guillemin, A. A. Kirillov, B. Kostant, S. Sternberg, eds.), pp. 510-517. Springer-Verlag, Berlin, 1987.
-
(1987)
Izrail M. Gelfand, Collected Papers
, vol.1
, pp. 510-517
-
-
Gindikin, S.G.1
Guillemin, V.W.2
Kirillov, A.A.3
Kostant, B.4
Sternberg, S.5
-
15
-
-
0001458591
-
On the determination of a differential equation from its spectral function
-
Russian
-
GEL'FAND I. M. & LEVITAN, B. M., On the determination of a differential equation from its spectral function. Izv. Akad. Nauk SSSR Ser. Mat., 15 (1951), 309-360 (Russian); English translation in Amer. Math. Soc. Transl. Ser. 2, 1 (1955), 253-304.
-
(1951)
Izv. Akad. Nauk SSSR Ser. Mat.
, vol.15
, pp. 309-360
-
-
Gel'fand, I.M.1
Levitan, B.M.2
-
16
-
-
0001649889
-
-
English translation in
-
GEL'FAND I. M. & LEVITAN, B. M., On the determination of a differential equation from its spectral function. Izv. Akad. Nauk SSSR Ser. Mat., 15 (1951), 309-360 (Russian); English translation in Amer. Math. Soc. Transl. Ser. 2, 1 (1955), 253-304.
-
(1955)
Amer. Math. Soc. Transl. Ser. 2
, vol.1
, pp. 253-304
-
-
-
17
-
-
0001644440
-
On a simple identity for eigenvalues of a second order differential operator
-
Russian
-
- On a simple identity for eigenvalues of a second order differential operator. Dokl. Akad. Nauk SSSR, 88 (1953), 593-596 (Russian); English translation in Izrail M. Gelfand, Collected Papers, Vol. I (S. G. Gindikin, V. W. Guillemin, A. A. Kirillov, B. Kostant, S. Sternberg, eds.), pp. 457-461. Springer-Verlag, Berlin, 1987.
-
(1953)
Dokl. Akad. Nauk SSSR
, vol.88
, pp. 593-596
-
-
-
18
-
-
0040748473
-
-
English translation in Springer-Verlag, Berlin
-
- On a simple identity for eigenvalues of a second order differential operator. Dokl. Akad. Nauk SSSR, 88 (1953), 593-596 (Russian); English translation in Izrail M. Gelfand, Collected Papers, Vol. I (S. G. Gindikin, V. W. Guillemin, A. A. Kirillov, B. Kostant, S. Sternberg, eds.), pp. 457-461. Springer-Verlag, Berlin, 1987.
-
(1987)
Izrail M. Gelfand, Collected Papers
, vol.1
, pp. 457-461
-
-
Gindikin, S.G.1
Guillemin, V.W.2
Kirillov, A.A.3
Kostant, B.4
Sternberg, S.5
-
19
-
-
21844514187
-
Absolute summability of the trace relation for certain Schrödinger operators
-
GESZTESY, F., HOLDEN, H. & SIMON, B., Absolute summability of the trace relation for certain Schrödinger operators. Comm. Math. Phys., 168 (1995), 137-161.
-
(1995)
Comm. Math. Phys.
, vol.168
, pp. 137-161
-
-
Gesztesy, F.1
Holden, H.2
Simon, B.3
-
20
-
-
0000520961
-
Higher order trace relations for Schrödinger operators
-
GESZTESY, F., HOLDEN, H., SIMON, B. & ZHAO, Z., Higher order trace relations for Schrödinger operators. Rev. Math. Phys., 7 (1995), 893-922.
-
(1995)
Rev. Math. Phys.
, vol.7
, pp. 893-922
-
-
Gesztesy, F.1
Holden, H.2
Simon, B.3
Zhao, Z.4
-
21
-
-
85033739952
-
A trace formula for multidimensional Schrödinger operators
-
To appear in
-
- A trace formula for multidimensional Schrödinger operators. To appear in J. Funct. Anal.
-
J. Funct. Anal.
-
-
-
22
-
-
0001323468
-
Rank one perturbations at infinite coupling
-
GESZTESY F. & SIMON, B., Rank one perturbations at infinite coupling. J. Funct. Anal., 128 (1995), 245-252.
-
(1995)
J. Funct. Anal.
, vol.128
, pp. 245-252
-
-
Gesztesy, F.1
Simon, B.2
-
23
-
-
85033743541
-
Uniqueness theorems in inverse spectral theory for one-dimensional Schrödinger operators
-
To appear in
-
- Uniqueness theorems in inverse spectral theory for one-dimensional Schrödinger operators. To appear in Trans. Amer. Math. Soc.
-
Trans. Amer. Math. Soc.
-
-
-
25
-
-
0039563067
-
Trace formulas for powers of a Sturm-Liouville operator
-
GILBERT, R. C. & KRAMER, V. A., Trace formulas for powers of a Sturm-Liouville operator. Canad. J. Math., 16 (1964), 412-422.
-
(1964)
Canad. J. Math.
, vol.16
, pp. 412-422
-
-
Gilbert, R.C.1
Kramer, V.A.2
-
26
-
-
84972507726
-
A generalization of the trace concept
-
HALBERG, C. J. A. & KRAMER, V. A., A generalization of the trace concept. Duke Math. J., 27 (1960), 607-617.
-
(1960)
Duke Math. J.
, vol.27
, pp. 607-617
-
-
Halberg, C.J.A.1
Kramer, V.A.2
-
27
-
-
33646978170
-
On the determination of a Hill's equation from its spectrum
-
HOCHSTADT, H., On the determination of a Hill's equation from its spectrum. Arch. Rational Mech. Anal., 19 (1965), 353-362.
-
(1965)
Arch. Rational Mech. Anal.
, vol.19
, pp. 353-362
-
-
Hochstadt, H.1
-
28
-
-
0011373534
-
Inverse problem for Sturm-Liouville and Hill equations
-
IWASAKI, K., Inverse problem for Sturm-Liouville and Hill equations. Ann. Mat. Pura Appl. (4), 149 (1987), 185-206.
-
(1987)
Ann. Mat. Pura Appl. (4)
, vol.149
, pp. 185-206
-
-
Iwasaki, K.1
-
29
-
-
0000423029
-
The rotation number for almost periodic potentials
-
JOHNSON, R. & MOSER, J., The rotation number for almost periodic potentials. Comm. Math. Phys., 84 (1982), 403-438.
-
(1982)
Comm. Math. Phys.
, vol.84
, pp. 403-438
-
-
Johnson, R.1
Moser, J.2
-
33
-
-
77956813930
-
Ljapunov indices determine absolutely continuous spectra of stationary random one-dimensional Schrödinger operators
-
K. Ito, ed., North-Holland, Amsterdam
-
KOTANI, S., Ljapunov indices determine absolutely continuous spectra of stationary random one-dimensional Schrödinger operators, in Stochastic Analysis (K. Ito, ed.), pp. 225-247. North-Holland, Amsterdam, 1984.
-
(1984)
Stochastic Analysis
, pp. 225-247
-
-
Kotani, S.1
-
34
-
-
0001316266
-
Almost periodicity of some random potentials
-
KOTANI, S. & KRISHNA, M., Almost periodicity of some random potentials. J. Funct. Anal., 78 (1988), 390-405.
-
(1988)
J. Funct. Anal.
, vol.78
, pp. 390-405
-
-
Kotani, S.1
Krishna, M.2
-
35
-
-
0000746737
-
Perturbation determinants and a formula for the traces of unitary and self-adjoint operators
-
KREIN, M. G., Perturbation determinants and a formula for the traces of unitary and self-adjoint operators. Soviet Math. Dokl., 3 (1962), 707-710.
-
(1962)
Soviet Math. Dokl.
, vol.3
, pp. 707-710
-
-
Krein, M.G.1
-
36
-
-
33846873343
-
A relation between a.C. Spectrum of ergodic Jacobi matrices and the spectra of periodic approximants
-
LAST, Y., A relation between a.c. spectrum of ergodic Jacobi matrices and the spectra of periodic approximants. Comm. Math. Phys., 151 (1993), 183-192.
-
(1993)
Comm. Math. Phys.
, vol.151
, pp. 183-192
-
-
Last, Y.1
-
37
-
-
0040154294
-
On the closure of the set of finite-zone potentials
-
LEVITAN, B. M., On the closure of the set of finite-zone potentials. Math. USSR-Sb., 51 (1985), 67-89.
-
(1985)
Math. USSR-Sb.
, vol.51
, pp. 67-89
-
-
Levitan, B.M.1
-
39
-
-
0001116357
-
Determination of a differential equation by two of its spectra
-
LEVITAN, B. M. & GASYMOV, M. G., Determination of a differential equation by two of its spectra. Russian Math. Surveys, 19:2 (1964), 1-63.
-
(1964)
Russian Math. Surveys
, vol.19
, Issue.2
, pp. 1-63
-
-
Levitan, B.M.1
Gasymov, M.G.2
-
41
-
-
0001412947
-
Some questions in the theory of one-dimensional linear differential operators of the second order, I
-
Russian
-
MARCHENKO, V. A., Some questions in the theory of one-dimensional linear differential operators of the second order, I. Trudy Moskov. Mat. Obshch., 1 (1952), 327-420 (Russian); English translation in Amer. Math. Soc. Transl. Ser. 2, 101 (1973), 1-104.
-
(1952)
Trudy Moskov. Mat. Obshch.
, vol.1
, pp. 327-420
-
-
Marchenko, V.A.1
-
42
-
-
0003191770
-
-
English translation in
-
MARCHENKO, V. A., Some questions in the theory of one-dimensional linear differential operators of the second order, I. Trudy Moskov. Mat. Obshch., 1 (1952), 327-420 (Russian); English translation in Amer. Math. Soc. Transl. Ser. 2, 101 (1973), 1-104.
-
(1973)
Amer. Math. Soc. Transl. Ser. 2
, vol.101
, pp. 1-104
-
-
-
44
-
-
84856125861
-
A characterization of the spectrum of Hill's operator
-
MARCHENKO, V. A. & OSTROVSKII, I. V., A characterization of the spectrum of Hill's operator. Math. USSR-Sb., 26 (1975), 493-554.
-
(1975)
Math. USSR-Sb.
, vol.26
, pp. 493-554
-
-
Marchenko, V.A.1
Ostrovskii, I.V.2
-
45
-
-
0001253693
-
The spectrum of Hill's equation
-
MCKEAN, H. P. & MOERBEKE, P. VAN, The spectrum of Hill's equation. Invent. Math., 30 (1975), 217-274.
-
(1975)
Invent. Math.
, vol.30
, pp. 217-274
-
-
McKean, H.P.1
Van Moerbeke, P.2
-
46
-
-
84980167496
-
Hill's operator and hyperelliptic function theory in the presence of infinitely many branch points
-
MCKEAN, H. P. & TRUBOWITZ, E., Hill's operator and hyperelliptic function theory in the presence of infinitely many branch points. Comm. Pure Appl. Math., 29 (1976), 143-226.
-
(1976)
Comm. Pure Appl. Math.
, vol.29
, pp. 143-226
-
-
McKean, H.P.1
Trubowitz, E.2
-
47
-
-
0003687441
-
-
Academic Press, New York
-
REED, M. & SIMON, B., Methods of Modern Mathematical Physics, II. Fourier Analysis, Self-Adjointness. Academic Press, New York, 1975.
-
(1975)
Methods of Modern Mathematical Physics, II. Fourier Analysis, Self-adjointness
-
-
Reed, M.1
Simon, B.2
-
49
-
-
0000941292
-
A canonical decomposition for quadratic forms with applications to monotone convergence theorems
-
SIMON, B., A canonical decomposition for quadratic forms with applications to monotone convergence theorems. J. Funct. Anal., 28 (1978), 377-385.
-
(1978)
J. Funct. Anal.
, vol.28
, pp. 377-385
-
-
Simon, B.1
-
52
-
-
0001758451
-
Spectral analysis of rank one perturbations and applications
-
Proc. Mathematical Quantum Theory, II: Schrödinger Operators Amer. Math. Soc., Providence, RI
-
- Spectral analysis of rank one perturbations and applications, in Proc. Mathematical Quantum Theory, II: Schrödinger Operators (J. Feldman, R. Froese and L. Rosen, eds.), pp. 109-149. CRM Proc. Lecture Notes, 8. Amer. Math. Soc., Providence, RI, 1995.
-
(1995)
CRM Proc. Lecture Notes
, vol.8
, pp. 109-149
-
-
Feldman, J.1
Froese, R.2
Rosen, L.3
-
53
-
-
84980187488
-
The inverse problem for periodic potentials
-
TRUBOWITZ, E., The inverse problem for periodic potentials. Comm. Pure Appl. Math., 30 (1977), 321-337.
-
(1977)
Comm. Pure Appl. Math.
, vol.30
, pp. 321-337
-
-
Trubowitz, E.1
-
54
-
-
84990609880
-
The infinite period limit of the inverse formalism for periodic potentials
-
VENAKIDES, S., The infinite period limit of the inverse formalism for periodic potentials. Comm. Pure Appl. Math., 41 (1988), 3-17.
-
(1988)
Comm. Pure Appl. Math.
, vol.41
, pp. 3-17
-
-
Venakides, S.1
|