[2] S. N. Naboko, A. B. Pushnitski,
On the embedded eigenvalues and dense point spectrum of the Stark-like
Hamiltonians,
Math. Nachr. 183 (1997), 185-200.
DOI: 10.1002/mana.19971830112
[3] E. L. Korotyaev, A. B. Pushnitski,
Scattering by anisotropic potential in a constant electric field
(in Russian),
Zap. Nauchn. Seminarov POMI, 230 (1995), 103-114.
English translation in:
J. Math. Sci. (New York) 91,
no. 2 (1998), 2768--2775.
DOI: 10.1007/BF02433992
Click here for preprint
[4] A. B. Pushnitski,
The spectrum of Liouville operators and multiparticle Hamiltonians
associated to one-particle Hamiltonians with singular continuous spectrum,
J. Math. Phys. 38, no. 5 (1997), 2266-2273.
DOI: 10.1063/1.531972
[5] M. I. Belishev, A. B. Pushnitski,
On a triangular factorization of positive operators (in
Russian),
Zap. Nauchn. Seminarov POMI, 239 (1997), 45-60.
English translation in:
J. Math. Sci. (New York) 96, no. 4 (1999), 3312--3320.
DOI: 10.1007/BF02172806
[6] A. B. Pushnitski,
Representation for the spectral shift function for perturbations
of a definite sign,
St.Petersburg Math. J. 9, no. 6 (1998),
1181-1194.
Click here for preprint
[7] M. Sh. Birman, A. B. Pushnitski,
Discrete spectrum in the gaps of the perturbed pseudorelativistic
magnetic Hamiltonian (in Russian),
Zap. Nauchn. Seminarov POMI, 249 (1997), 102-117.
English translation in
J. Math. Sci. (New York) 101 (2000), no. 5, 3437--3447.
DOI: 10.1007/BF02680144
Click here for the text of the paper in Russian
[8] M. Sh. Birman, A. B. Pushnitski,
Spectral shift function, amazing and multifaceted,
Integr. Equ. Oper. Theory 30, no. 2 (1998), 191-199.
DOI: 10.1007/BF01238218
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[9] A. B. Pushnitski,
Integral estimates for the spectral shift function,
St.Petersburg Math. J. 10, no. 6 (1999), 1047-1070.
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[10] A. B. Pushnitski,
Spectral shift function of the Schrodinger operator in the large
coupling constant limit,
Comm. in PDE 25, no 3&4 (2000), 703-736.
DOI: 10.1080/03605300008821528
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[11] A. B. Pushnitski,
Estimates for the spectral shift function of the polyharmonic operator,
J. Math. Phys. 40, no. 11 (1999), 5578-5592.
DOI: 10.1063/1.533047
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[12] A. B. Pushnitski,
The spectral shift function and the invariance principle,
J. Functional Analysis, 183, no.2 (2001), 269-320.
DOI: 10.1006/jfan.2001.3751
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[13] A. Pushnitski, M. Ruzhansky,
Spectral shift function of the Schrodinger operator in the large
coupling constant limit, II. Positive perturbations.
Comm. in PDE, 27, no.7 & 8 (2002), 1373-1405.
DOI: 10.1081/PDE-120005842
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[14] A. Pushnitski, M. Ruzhansky,
Spectral shift function of the Schrodinger operator in the large
coupling constant limit,
Functional Analysis and Its Applications, 36, no. 3 (2002), 250-252.
DOI: 10.1023/A:1020170626399
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[15] E. Korotyaev, A. Pushnitski,
Trace formulae and high energy asymptotics for Stark operator,
Comm. in PDE 28, no.3 & 4 (2003), 817-842.
DOI: 10.1081/PDE-120020498
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[16] E. Korotyaev, A. Pushnitski,
On the high energy asymptotics of the integrated density of states,
Bull. London Math. Soc. 35, no.6, 770-776 (2003).
DOI: 10.1112/S0024609303002467
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[17] V. Bruneau, G. Raikov, A. Pushnitski,
Spectral Shift Function in Strong Magnetic Fields,
St. Petersburg Math. J. 16, no. 1, 207-238 (2005).
Click here for preprint
[18] E. Korotyaev, A. Pushnitski,
A trace formula and high energy spectral asymptotics
for the perturbed Landau Hamiltonian,
J. Funct. Anal. 217, 221-248 (2004).
DOI: 10.1016/j.jfa.2004.03.003
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[19] A. Pushnitski, V. Sloushch,
Spectral shift function for the Stark operator in the large coupling constant limit,
Asymptotic Analysis 51, no. 1, 63-89 (2007).
Click here for preprint
[20] A.Pushnitski, I. Sorrell,
High energy asymptotics and trace formulas for the perturbed harmonic oscillator,
Ann. Henri Poincare, 7, no. 2, 381-396 (2006).
DOI: 10.1007/s00023-005-0253-5
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[21] N. Filonov, A. Pushnitski,
Spectral asymptotics of Pauli operators and
orthogonal polynomials in complex domains,
Comm. Math. Phys. 264 (2006), no. 3, 759-772.
DOI: 10.1007/s00220-006-1520-0
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[22] A. Pushnitski,
The scattering matrix and the differences of spectral projections,
Bulletin London Math. Soc. 40, 227-238 (2008).
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[23] F. Gesztesy, A. Pushnitski, B. Simon,
On the Koplienko spectral shift function, I. Basics
Journal of Mathematical Physics, Analysis, Geometry
4 (2008), no. 1, 63-107
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[24] A. Pushnitski, G. Rozenblum,
Eigenvalue clusters of the Landau Hamiltonian in the exterior
of a compact domain,
Documenta Math. 12, 569-586 (2007).
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[25] D. Damanik, A. Pushnitski, B. Simon,
The analytic theory of matrix orthogonal polynomials,
Surveys in Approximation Theory 4, 1-85 (2008).
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[26] A. Pushnitski,
The spectral flow, the Fredholm index, and the spectral shift function,
in: Spectral Theory of Differential Operators: M.Sh.Birman 80th Anniversary
Collection, AMS Translations (2), Advances in Mathematical Sciences,
225, 141-155 (2008).
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[27] V. Buslaev, A. Pushnitski,
The scattering matrix and associated formulas in Hamiltonian mechanics,
Comm. Math. Phys. 293, no.2, 563-588 (2010).
DOI: 10.1007/s00220-009-0937-7
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[28] A. Pushnitski,
Operator theoretic methods for the eigenvalue counting function in spectral gaps,
Ann. Henri Poincare 10, 793-822 (2009).
DOI: 10.1007/s00023-009-0422-z
Click here for preprint
[29] A. Pushnitski and D. Yafaev,
Spectral theory of
discontinuous functions of self-adjoint operators and scattering theory,
preprint
[30] A. Pushnitski,
Spectral theory of
discontinuous functions of self-adjoint operators: essential spectrum
to appear in Integr. Equ. Oper. Theory.
Click here for preprint
[31] A. Pushnitski,
The Birman-Schwinger principle on the essential spectrum,
preprint
[32] A. Pushnitski, G. Rozenblum,
On the spectrum of Bargmann-Toeplitz operators with symbols of a variable sign,
preprint
[33] E.B.Davies, A. Pushnitski,
Non-Weyl Resonance Asymptotics for Quantum Graphs,
preprint