-
1
-
-
0028444852
-
On the existence of eigenvalues of a divergence form operator A + λB in a gap of σ(A)
-
S. Alama, M. Avellaneda, P. A. Deift, and R. Hempel, On the existence of eigenvalues of a divergence form operator A + λB in a gap of σ(A), Asymptotic Anal. 8(1994), no.4, 311-314.
-
(1994)
Asymptotic Anal.
, vol.8
, Issue.4
, pp. 311-314
-
-
Alama, S.1
Avellaneda, M.2
Deift, P.A.3
Hempel, R.4
-
2
-
-
0000430599
-
Eigenvalue branches of the Schrödinger operator H - λW in a gap of σ(H)
-
S. Alama, P. A. Deift, and R. Hempel, Eigenvalue branches of the Schrödinger operator H - λW in a gap of σ(H), Commun. Math. Phys. 121(1989), 291-321.
-
(1989)
Commun. Math. Phys.
, vol.121
, pp. 291-321
-
-
Alama, S.1
Deift, P.A.2
Hempel, R.3
-
3
-
-
0001868814
-
A directional compactification of the complex fermi surface
-
D. Bättig, H. Knörrer, and E. Trubowitz, A directional compactification of the complex Fermi surface, Compositio Math. 79(1991), no.2, 205-229.
-
(1991)
Compositio Math.
, vol.79
, Issue.2
, pp. 205-229
-
-
Bättig, D.1
Knörrer, H.2
Trubowitz, E.3
-
4
-
-
0001897470
-
The discrete spectrum of the periodic Schrödinger operator perturbed by a decreasing potential
-
M. S. Birman, The discrete spectrum of the periodic Schrödinger operator perturbed by a decreasing potential, Algebra i Analiz 8(1996), no.1, 3-20.
-
(1996)
Algebra i Analiz
, vol.8
, Issue.1
, pp. 3-20
-
-
Birman, M.S.1
-
5
-
-
0001399811
-
On the spectrum of singular boundary value problems
-
M. S. Birman, On the spectrum of singular boundary value problems, Mat. Sbornik 55(1961), no.2, 125-173.
-
(1961)
Mat. Sbornik
, vol.55
, Issue.2
, pp. 125-173
-
-
Birman, M.S.1
-
6
-
-
0000478255
-
On the discrete spectrum in the gaps of a perturbed periodic second order operator
-
M. S. Birman, On the discrete spectrum in the gaps of a perturbed periodic second order operator, Funct. Anal. Appl. 25(1991), 158-161.
-
(1991)
Funct. Anal. Appl.
, vol.25
, pp. 158-161
-
-
Birman, M.S.1
-
9
-
-
0001538638
-
On the existence of eigenvalues of the Schrödinger operator H - λW in a gap of σ(H)
-
P. A. Deift and R. Hempel, On the existence of eigenvalues of the Schrödinger operator H - λW in a gap of σ(H), Commun. Math. Phys. 103(1986), 461-490.
-
(1986)
Commun. Math. Phys.
, vol.103
, pp. 461-490
-
-
Deift, P.A.1
Hempel, R.2
-
13
-
-
0001123378
-
Expansion in eigenfunctions of an equation with periodic coefficients
-
I.M. Gelfand, Expansion in eigenfunctions of an equation with periodic coefficients, Dokl. Akad. Nauk SSSR 73(1950), 1117-1120.
-
(1950)
Dokl. Akad. Nauk SSSR
, vol.73
, pp. 1117-1120
-
-
Gelfand, I.M.1
-
14
-
-
17644437865
-
The Mourre theory for analytically fibered operators
-
C. Gerard and F. Nier, The Mourre theory for analytically fibered operators, J. Funct. Anal. 152(1998), no.1, 202-219.
-
(1998)
J. Funct. Anal.
, vol.152
, Issue.1
, pp. 202-219
-
-
Gerard, C.1
Nier, F.2
-
15
-
-
0001383853
-
On a theorem of Deift and Hempel
-
F. Gesztesy and B. Simon, On a theorem of Deift and Hempel, Commun. Math. Phys. 116(1988), 503-505.
-
(1988)
Commun. Math. Phys.
, vol.116
, pp. 503-505
-
-
Gesztesy, F.1
Simon, B.2
-
18
-
-
0001787082
-
Eigenvalue branches of the Schrödinger operator H ± λW in a spectral gap of H
-
R. Hempel, Eigenvalue branches of the Schrödinger operator H ± λW in a spectral gap of H, J. Reine Angew. Math. 399(1989), 38-59.
-
(1989)
J. Reine Angew. Math.
, vol.399
, pp. 38-59
-
-
Hempel, R.1
-
20
-
-
51249163667
-
Resonances for perturbations of a semi-classical periodic Schrödinger operator
-
F. Klopp, Resonances for perturbations of a semi-classical periodic Schrödinger operator, Arkiv för matematik, 32(1994), 323-371.
-
(1994)
Arkiv För Matematik
, vol.32
, pp. 323-371
-
-
Klopp, F.1
-
21
-
-
51249175788
-
A directional compactification of the complex bloch variety
-
H. Knörrer and J. Trubowitz, A directional compactification of the complex Bloch variety, Comment. Math. Helv. 65(1990), 114-149.
-
(1990)
Comment. Math. Helv.
, vol.65
, pp. 114-149
-
-
Knörrer, H.1
Trubowitz, J.2
-
23
-
-
0002503979
-
On embedded eigenvalues of perturbed periodic Schrödinger operators
-
Newark, DE, 1997, Plenum, New York
-
P. Kuchment and B. Vainberg, On embedded eigenvalues of perturbed periodic Schrödinger operators, in Spectral and scattering theory (Newark, DE, 1997), 67-75, Plenum, New York,1998.
-
(1998)
Spectral and Scattering Theory
, pp. 67-75
-
-
Kuchment, P.1
Vainberg, B.2
-
25
-
-
4243750248
-
Asymptotic formulas with remainder estimates for eigenvalue branches of the Schrödinger operator H - λW in a gap of H
-
S. Z. Levendorskii, Asymptotic formulas with remainder estimates for eigenvalue branches of the Schrödinger operator H - λW in a gap of H, Trans. AMS.
-
Trans. AMS
-
-
Levendorskii, S.Z.1
-
26
-
-
0001966207
-
An asymptotic formula for the number of eigenvalue branches of a divergence form operator A + λB in a spectral gap of A
-
S. Z. Levendorskii and S. I. Boyarchenko, An asymptotic formula for the number of eigenvalue branches of a divergence form operator A + λB in a spectral gap of A, Comm. PDE.
-
Comm. PDE
-
-
Levendorskii, S.Z.1
Boyarchenko, S.I.2
-
27
-
-
0001711511
-
Lower bounds for the number of eigenvalue branches for the Schrödinger operator H - λW in a gap of H: The case of indefinite W
-
S. Z. Levendorskii, Lower bounds for the number of eigenvalue branches for the Schrödinger operator H - λW in a gap of H: the case of indefinite W, Comm. PDE 20(1995), no.5-6, 827-854.
-
(1995)
Comm. PDE
, vol.20
, Issue.5-6
, pp. 827-854
-
-
Levendorskii, S.Z.1
-
28
-
-
0003281219
-
Distribution of zeros of entire functions
-
Amer. Math. Soc., Providence, RI
-
B. Levin, Distribution of Zeros of Entire Functions, Transl. Math. Monogr. v.5, Amer. Math. Soc., Providence, RI 1964.
-
(1964)
Transl. Math. Monogr.
, vol.5
-
-
Levin, B.1
-
29
-
-
0000134587
-
On the possible rate of decay at infinity of solutions of second order partial differential equations
-
V. Meshkov, On the possible rate of decay at infinity of solutions of second order partial differential equations, Mat. Sbornik, 182(1991). no.3, 364-383. English translation in Math. USSR Sbornik 72(1992), no.2, 343-351.
-
(1991)
Mat. Sbornik
, vol.182
, Issue.3
, pp. 364-383
-
-
Meshkov, V.1
-
30
-
-
0001966209
-
-
V. Meshkov, On the possible rate of decay at infinity of solutions of second order partial differential equations, Mat. Sbornik, 182(1991). no.3, 364-383. English translation in Math. USSR Sbornik 72(1992), no.2, 343-351.
-
(1992)
Math. USSR Sbornik
, vol.72
, Issue.2
, pp. 343-351
-
-
-
31
-
-
0003234244
-
Intorduction to the theory of analytic spaces
-
Springer Verlag, Berlin
-
R. Narasimhan, Intorduction to the Theory of Analytic Spaces, Lect. Notes in Math., v. 25, Springer Verlag, Berlin 1966.
-
(1966)
Lect. Notes in Math.
, vol.25
-
-
Narasimhan, R.1
-
32
-
-
0001170610
-
Partial differential equations with periodic coefficients and bloch waves in crystals
-
F. Odeh, J.B. Keller, Partial differential equations with periodic coefficients and Bloch waves in crystals, J. Math. Phys. 5(1964), 1499-1504.
-
(1964)
J. Math. Phys.
, vol.5
, pp. 1499-1504
-
-
Odeh, F.1
Keller, J.B.2
-
33
-
-
0001709943
-
-
private communication
-
V. Papanicolaou, private communication, 1998.
-
(1998)
-
-
Papanicolaou, V.1
-
34
-
-
0002172409
-
Eigenvalue asymptotics for the Schrödinger operator with perturbed periodic potential
-
G. D. Raikov, Eigenvalue asymptotics for the Schrödinger operator with perturbed periodic potential, Invent. Math. 110(1992), 75-93.
-
(1992)
Invent. Math.
, vol.110
, pp. 75-93
-
-
Raikov, G.D.1
-
36
-
-
0000048256
-
A test for the finiteness of the number of discrete levels introduced into the gaps of a continuous spectrum by perturbations of a periodic potential
-
F. S. Rofe-Beketov, A test for the finiteness of the number of discrete levels introduced into the gaps of a continuous spectrum by perturbations of a periodic potential, Soviet Math. Dokl. 5(1964), 689-692.
-
(1964)
Soviet Math. Dokl.
, vol.5
, pp. 689-692
-
-
Rofe-Beketov, F.S.1
-
37
-
-
0001861181
-
Spectrum perturbations, the knezer-type constants and the effective mass of zones-type potentials
-
Sofia
-
F. S. Rofe-Beketov, Spectrum perturbations, the Knezer-type constants and the effective mass of zones-type potentials, in Constructive Theory of Functions'84, Sofia 1984, p.757-766.
-
(1984)
Constructive Theory of Functions'84
, pp. 757-766
-
-
Rofe-Beketov, F.S.1
-
38
-
-
0001126677
-
Weyl asymptotics for the discrete spectrum of the perturbed hill operator
-
A. Y. Sobolev, Weyl asymptotics for the discrete spectrum of the perturbed Hill operator, Adv. Sov. Math. 7(1991), 159-178.
-
(1991)
Adv. Sov. Math.
, vol.7
, pp. 159-178
-
-
Sobolev, A.Y.1
-
40
-
-
0001156229
-
Principles of radiation, limiting absorption and limiting amplitude in the general theory of partial differential equations
-
B. Vainberg, Principles of radiation, limiting absorption and limiting amplitude in the general theory of partial differential equations, Russian Math. Surveys 21(1966), no 3, 115-193.
-
(1966)
Russian Math. Surveys
, vol.21
, Issue.3
, pp. 115-193
-
-
Vainberg, B.1
-
41
-
-
51249187120
-
Theory of bloch waves
-
C. Wilcox, Theory of Bloch waves, J. Anal. Math. 33(1978), 146-167.
-
(1978)
J. Anal. Math.
, vol.33
, pp. 146-167
-
-
Wilcox, C.1
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