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1
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0001399811
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On the spectrum of singular boundary-value problems
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Russian
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M. Sh. Birman, On the spectrum of singular boundary-value problems, Mat. Sb. 55 (1961), 125-174 (Russian); English transl.: Amer. Math. Soc. Transl. 53 (1966), 23-80.
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(1961)
Mat. Sb.
, vol.55
, pp. 125-174
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Birman, M.Sh.1
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2
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0003184398
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English transl.
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M. Sh. Birman, On the spectrum of singular boundary-value problems, Mat. Sb. 55 (1961), 125-174 (Russian); English transl.: Amer. Math. Soc. Transl. 53 (1966), 23-80.
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(1966)
Amer. Math. Soc. Transl.
, vol.53
, pp. 23-80
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3
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0002691917
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Discrete spectrum in the gaps of a continuous one for perturbations with large coupling constant
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M. Sh. Birman, Discrete spectrum in the gaps of a continuous one for perturbations with large coupling constant, Adv. Soviet Math. 7 (1991), 57-73.
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(1991)
Adv. Soviet Math.
, vol.7
, pp. 57-73
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Birman, M.Sh.1
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4
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0347974112
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Discrete spectrum in the gaps of the perturbed periodic Schrödinger operator. II. Non-regular perturbations
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Russian
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M. Sh. Birman, Discrete spectrum in the gaps of the perturbed periodic Schrödinger operator. II. Non-regular perturbations, Algebra i Analiz 9, no. 6 (1997), 62-89 (Russian); English transl.: St. Petersburg Math. J. 9 (1998), 1073-1095.
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(1997)
Algebra i Analiz
, vol.9
, Issue.6
, pp. 62-89
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Birman, M.Sh.1
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5
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0012891440
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English transl.
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M. Sh. Birman, Discrete spectrum in the gaps of the perturbed periodic Schrödinger operator. II. Non-regular perturbations, Algebra i Analiz 9, no. 6 (1997), 62-89 (Russian); English transl.: St. Petersburg Math. J. 9 (1998), 1073-1095.
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(1998)
St. Petersburg Math. J.
, vol.9
, pp. 1073-1095
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6
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0002190712
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On the asymptotics of the discrete spectrum for certain singular differential operators
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Russian
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M. Sh. Birman and V. Borzov, On the asymptotics of the discrete spectrum for certain singular differential operators, Probl. Math. Fiz. 5 (1971), 24-38 (Russian); English transl.: Topics Math. Phys. 5 (1972), 19-30.
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(1971)
Probl. Math. Fiz.
, vol.5
, pp. 24-38
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Birman, M.Sh.1
Borzov, V.2
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7
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0013480862
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English transl.
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M. Sh. Birman and V. Borzov, On the asymptotics of the discrete spectrum for certain singular differential operators, Probl. Math. Fiz. 5 (1971), 24-38 (Russian); English transl.: Topics Math. Phys. 5 (1972), 19-30.
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(1972)
Topics Math. Phys.
, vol.5
, pp. 19-30
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8
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51249167500
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Discrete spectrum of the perturbed Dirac operator
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M. Sh. Birman and A. Laptev, Discrete spectrum of the perturbed Dirac operator, Ark. Mat. 32 (1994), 13-32.
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(1994)
Ark. Mat.
, vol.32
, pp. 13-32
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Birman, M.Sh.1
Laptev, A.2
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9
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0030519305
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The negative discrete spectrum of a two-dimensional Schrödinger operator
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M. Sh. Birman and A. Laptev, The negative discrete spectrum of a two-dimensional Schrödinger operator, Comm. Pure Appl. Math. 49 (1996), 967-997.
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(1996)
Comm. Pure Appl. Math.
, vol.49
, pp. 967-997
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Birman, M.Sh.1
Laptev, A.2
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10
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0032442510
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On the eigenvalue behaviour for a class of differential operators on the semiaxis
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M. Sh. Birman, A. Laptev and M. Solomyak, On the eigenvalue behaviour for a class of differential operators on the semiaxis, Math. Nachr. 195 (1998), 17-46.
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(1998)
Math. Nachr.
, vol.195
, pp. 17-46
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Birman, M.Sh.1
Laptev, A.2
Solomyak, M.3
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11
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84871132748
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Discrete spectrum of a two dimensional periodic elliptic second order operator perturbed by a decreasing potential. I. Semibounded gap
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Russian
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M. Sh. Birman, A. Laptev and T. A. Suslina, Discrete spectrum of a two dimensional periodic elliptic second order operator perturbed by a decreasing potential. I. Semibounded gap, Algebra i Analiz 12 (2000), 38-82 (Russian); English transl.: St. Petersburg Math. J. 12 (2001), in press.
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(2000)
Algebra i Analiz
, vol.12
, pp. 38-82
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Birman, M.Sh.1
Laptev, A.2
Suslina, T.A.3
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12
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84871160382
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English transl.: in press
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M. Sh. Birman, A. Laptev and T. A. Suslina, Discrete spectrum of a two dimensional periodic elliptic second order operator perturbed by a decreasing potential. I. Semibounded gap, Algebra i Analiz 12 (2000), 38-82 (Russian); English transl.: St. Petersburg Math. J. 12 (2001), in press.
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(2001)
St. Petersburg Math. J.
, vol.12
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13
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0002501645
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Estimates for the singular numbers of integral operators
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Russian
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M. Sh. Birman and M. Z. Solomyak, Estimates for the singular numbers of integral operators, Uspehi Mat. Nauk 32 (1977), 17-84 (Russian); English transl.: Russian Math. Surveys 32 (1977), 15-89.
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(1977)
Uspehi Mat. Nauk
, vol.32
, pp. 17-84
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Birman, M.Sh.1
Solomyak, M.Z.2
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14
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84957129283
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English transl.
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M. Sh. Birman and M. Z. Solomyak, Estimates for the singular numbers of integral operators, Uspehi Mat. Nauk 32 (1977), 17-84 (Russian); English transl.: Russian Math. Surveys 32 (1977), 15-89.
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(1977)
Russian Math. Surveys
, vol.32
, pp. 15-89
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-
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15
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0002380806
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Quantitive analysis in Sobolev imbedding theorems and applications to spectral theory
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SSSR, Kiev, Russian
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M. Sh. Birman and M. Z. Solomyak, Quantitive analysis in Sobolev imbedding theorems and applications to spectral theory, Tenth Math. School, Izd. Inst. Mat. Akad. Nauk Ukrain. SSSR, Kiev, 1974, pp. 5-189 (Russian); English transl.: Amer. Math. Soc. Transl. Ser. 2 114 (1980).
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(1974)
Tenth Math. School, Izd. Inst. Mat. Akad. Nauk Ukrain
, pp. 5-189
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Birman, M.Sh.1
Solomyak, M.Z.2
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16
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84871168601
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English transl.
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M. Sh. Birman and M. Z. Solomyak, Quantitive analysis in Sobolev imbedding theorems and applications to spectral theory, Tenth Math. School, Izd. Inst. Mat. Akad. Nauk Ukrain. SSSR, Kiev, 1974, pp. 5-189 (Russian); English transl.: Amer. Math. Soc. Transl. Ser. 2 114 (1980).
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(1980)
Amer. Math. Soc. Transl. Ser. 2
, vol.114
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18
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0002658615
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Estimates for the number of negative eigenvalues of the Schrödinger operator and its generalizations
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M. Sh. Birman and M. Z. Solomyak, Estimates for the number of negative eigenvalues of the Schrödinger operator and its generalizations, Adv. Soviet Math. 7 (1991), 1-55.
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(1991)
Adv. Soviet Math.
, vol.7
, pp. 1-55
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Birman, M.Sh.1
Solomyak, M.Z.2
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19
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0003373547
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Schrödinger operator. Estimates for number of bound states as function-theoretical problem
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M. Sh. Birman and M. Z. Solomyak, Schrödinger operator. Estimates for number of bound states as function-theoretical problem, Amer. Math. Soc. Transl. Ser. 2 150 (1992), 1-54.
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(1992)
Amer. Math. Soc. Transl. Ser. 2
, vol.150
, pp. 1-54
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Birman, M.Sh.1
Solomyak, M.Z.2
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22
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0003401596
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Nauka, Moscow, Russian
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I.C. Gohberg and M. G. Krein, Introduction to the Theory of Linear Nonselfadjoint Operators, Nauka, Moscow, 1965 (Russian); English transl.: Amer. Math. Soc., Providence, RI, 1969.
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(1965)
Introduction to the Theory of Linear Nonselfadjoint Operators
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Gohberg, I.C.1
Krein, M.G.2
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23
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0003744099
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English transl.: Providence, RI
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I.C. Gohberg and M. G. Krein, Introduction to the Theory of Linear Nonselfadjoint Operators, Nauka, Moscow, 1965 (Russian); English transl.: Amer. Math. Soc., Providence, RI, 1969.
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(1969)
Amer. Math. Soc.
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25
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84871128525
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Accurate spectral asymptotics for periodic operators
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Saint-Jean-de-Monts
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V. Ivrii, Accurate spectral asymptotics for periodic operators, Journees "Equations aux derivees partielles", Saint-Jean-de-Monts, 1999, pp. 1-11.
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(1999)
Journees "Equations Aux Derivees Partielles"
, pp. 1-11
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Ivrii, V.1
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26
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0002677952
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Eigenvalue asymptotics of the Neumann Laplacian of regions and manifolds with cusps
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V. Jakšić, S. Molčanov and B. Simon, Eigenvalue asymptotics of the Neumann Laplacian of regions and manifolds with cusps, J. Funct. Anal. 106 (1992), 59-79.
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(1992)
J. Funct. Anal.
, vol.106
, pp. 59-79
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Jakšić, V.1
Molčanov, S.2
Simon, B.3
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29
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0003690985
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revised, "Nauka", Moscow, (Russian); English transl. of 1st ed.: Academic Press, New York-London, 1968
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O. A. Ladyzhenskaya and N. N. Uraltseva, Linear and Quasilinear Equations of Elliptic Type, 2nd ed., revised, "Nauka", Moscow, 1973 (Russian); English transl. of 1st ed.: Academic Press, New York-London, 1968.
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(1973)
Linear and Quasilinear Equations of Elliptic Type, 2nd Ed.
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Ladyzhenskaya, O.A.1
Uraltseva, N.N.2
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30
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0031574605
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Regular and pathological eigenvalue behavior for the equation -λu″ = Vu on the semiaxis
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K. Naimark and M. Solomyak, Regular and pathological eigenvalue behavior for the equation -λu″ = Vu on the semiaxis, J. Funct. Anal. 151 (1997), 504-530.
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(1997)
J. Funct. Anal.
, vol.151
, pp. 504-530
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Naimark, K.1
Solomyak, M.2
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32
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0003357833
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Regularly Varying Functions
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Springer, Berlin-New York
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E. Seneta, Regularly Varying Functions, Lecture Notes in Mathematics, Vol. 508, Springer, Berlin-New York, 1976.
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(1976)
Lecture Notes in Mathematics
, vol.508
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Seneta, E.1
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34
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0001967757
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Geometric and arithmetic methods in the spectral theory of multidimensional periodic operators
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Russian
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M. Skriganov, Geometric and arithmetic methods in the spectral theory of multidimensional periodic operators, Trudy Mat. Inst. Steklov 171 (1985), 3-122 (Russian); English transl.: Proc. Steklov Inst. Math. 2 (1987).
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(1985)
Trudy Mat. Inst. Steklov
, vol.171
, pp. 3-122
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Skriganov, M.1
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35
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84871137223
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English transl.
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M. Skriganov, Geometric and arithmetic methods in the spectral theory of multidimensional periodic operators, Trudy Mat. Inst. Steklov 171 (1985), 3-122 (Russian); English transl.: Proc. Steklov Inst. Math. 2 (1987).
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(1987)
Proc. Steklov Inst. Math.
, vol.2
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36
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51249162511
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d), 2l = d, and applications to the spectral theory of Schrödinger operator
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d), 2l = d, and applications to the spectral theory of Schrödinger operator, Israel J. Math. 86 (1994), 253-276.
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(1994)
Israel J. Math.
, vol.86
, pp. 253-276
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Solomyak, M.1
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38
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84871145701
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General operator ideals of the weak type
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Russian
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T. Weidl, General operator ideals of the weak type, Algebra i Analiz 4 (1992), 117-144 (Russian); English transl.: St. Petersburg Math. J. 4 (1993), 503-525.
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(1992)
Algebra i Analiz
, vol.4
, pp. 117-144
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Weidl, T.1
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39
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0040375414
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English transl.
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T. Weidl, General operator ideals of the weak type, Algebra i Analiz 4 (1992), 117-144 (Russian); English transl.: St. Petersburg Math. J. 4 (1993), 503-525.
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(1993)
St. Petersburg Math. J.
, vol.4
, pp. 503-525
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