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1

An integer-valued version of the Birman—Krein formula

A.B. Pushnitski

Journal:

Functional Analysis and Its Applications

Year:

2010

Language:

english

File:

PDF, 132 KB

english, 2010

2

Best Rational Approximation of Functions with Logarithmic Singularities

Pushnitski, Alexander, Yafaev, Dmitri

Journal:

Constructive Approximation

Year:

2016

Language:

english

File:

PDF, 643 KB

english, 2016

3

On Helson matrices: moment problems, non-negativity, boundedness, and finite rank

Perfekt, Karl-Mikael, Pushnitski, Alexander

Journal:

Proceedings of the London Mathematical Society

Year:

2018

Language:

english

File:

PDF, 453 KB

english, 2018

4

Weighted model spaces and Schmidt subspaces of Hankel operators

GÃ©rard, Patrick, Pushnitski, Alexander

Journal:

Journal of the London Mathematical Society

Year:

2020

File:

PDF, 350 KB

2020

5

The Spectral Shift Function and the Invariance Principle

Alexander Pushnitski

Journal:

Journal of Functional Analysis

Year:

2001

Language:

english

File:

PDF, 308 KB

english, 2001

6

A trace formula and high-energy spectral asymptotics for the perturbed Landau Hamiltonian

E Korotyaev, A Pushnitski

Journal:

Journal of Functional Analysis

Year:

2004

Language:

english

File:

PDF, 348 KB

english, 2004

7

The Birman–Schwinger principle on the essential spectrum

Alexander Pushnitski

Journal:

Journal of Functional Analysis

Year:

2011

Language:

english

File:

PDF, 242 KB

english, 2011

8

Spectral shift function, amazing and multifaceted

M. Sh. Birman, A. B. Pushnitski

Journal:

Integral Equations and Operator Theory

Year:

1998

Language:

english

File:

PDF, 455 KB

english, 1998

9

Spectral Theory of Discontinuous Functions of Self-Adjoint Operators: Essential Spectrum

Alexander Pushnitski

Journal:

Integral Equations and Operator Theory

Year:

2010

Language:

english

File:

PDF, 380 KB

english, 2010

10

On the spectrum of Bargmann-Toeplitz operatorswith symbols of a variable sign

Alexander Pushnitski, Grigori Rozenblum

Journal:

Journal d'Analyse Mathématique

Year:

2011

Language:

english

File:

PDF, 185 KB

english, 2011

11

Spectral Shift Function of the Schrödinger Operator in the Large Coupling Constant Limit

A.B. Pushnitski, M.V. Ruzhansky

Journal:

Functional Analysis and Its Applications

Year:

2002

Language:

english

File:

PDF, 98 KB

english, 2002

12

Scattering Theory and Banach Space Valued Singular Integrals

Pushnitski, A., Volberg, A.

Journal:

International Mathematics Research Notices

Year:

2013

Language:

english

File:

PDF, 233 KB

english, 2013

13

The spectrum of the scattering matrix near resonant energies in the semiclassical limit

Nakamura, Shu, Pushnitski, Alexander

Journal:

Transactions of the American Mathematical Society

Year:

2013

Language:

english

File:

PDF, 430 KB

english, 2013

14

Asymptotic Behavior of Eigenvalues of Hankel Operators

Pushnitski, A., Yafaev, D.

Journal:

International Mathematics Research Notices

Year:

2015

Language:

english

File:

PDF, 238 KB

english, 2015

15

The spectral density of a product of spectral projections

Frank, Rupert L., Pushnitski, Alexander

Journal:

Journal of Functional Analysis

Year:

2015

Language:

english

File:

PDF, 1.20 MB

english, 2015

16

Spectral theory of piecewise continuous functions of self-adjoint operators

Pushnitski, A., Yafaev, D.

Journal:

Proceedings of the London Mathematical Society

Year:

2014

Language:

english

File:

PDF, 440 KB

english, 2014

17

Sharp Estimates for Singular Values of Hankel Operators

Pushnitski, Alexander, Yafaev, Dmitri

Journal:

Integral Equations and Operator Theory

Year:

2015

Language:

english

File:

PDF, 626 KB

english, 2015

18

On the Embedded Eigenvalues and Dense Point Spectrum of the Stark-Like Hamiltonians

Sergei N. Naboko, Alexander B. Pushnitski

Journal:

Mathematische Nachrichten

Year:

1997

Language:

english

File:

PDF, 708 KB

english, 1997

19

Spectral theory of discontinuous functions of self-adjoint operators and scattering theory

Alexander Pushnitski, Dmitri Yafaev

Journal:

Journal of Functional Analysis

Year:

2010

Language:

english

File:

PDF, 210 KB

english, 2010

20

High Energy Asymptotics and Trace Formulas for the Perturbed Harmonic Oscillator

Alexander Pushnitski, Ian Sorrell

Journal:

Annales Henri Poincaré

Year:

2006

Language:

english

File:

PDF, 180 KB

english, 2006

21

Operator Theoretic Methods for the Eigenvalue Counting Function in Spectral Gaps

Alexander Pushnitski

Journal:

Annales Henri Poincaré

Year:

2009

Language:

english

File:

PDF, 580 KB

english, 2009

22

Spectral Asymptotics of Pauli Operators and Orthogonal Polynomials in Complex Domains

N. Filonov, A. Pushnitski

Journal:

Communications in Mathematical Physics

Year:

2006

Language:

english

File:

PDF, 215 KB

english, 2006

23

The Scattering Matrix and Associated Formulas in Hamiltonian Mechanics

Vladimir Buslaev, Alexander Pushnitski

Journal:

Communications in Mathematical Physics

Year:

2010

Language:

english

File:

PDF, 368 KB

english, 2010

24

The Spectral Density of the Scattering Matrix for High Energies

Daniel Bulger, Alexander Pushnitski

Journal:

Communications in Mathematical Physics

Year:

2012

Language:

english

File:

PDF, 219 KB

english, 2012

25

SPECTRAL SHIFT FUNCTION OF THE SCHRÖDINGER OPERATOR IN THE LARGE COUPLING CONSTANT LIMIT. II. POSITIVE PERTURBATIONS

Pushnitski, A., Ruzhansky, M.

Journal:

Communications in Partial Differential Equations

Year:

2002

Language:

english

File:

PDF, 419 KB

english, 2002

26

Asymptotic Density of Eigenvalue Clusters for the Perturbed Landau Hamiltonian

Alexander Pushnitski, Georgi Raikov…

Journal:

Communications in Mathematical Physics

Year:

2013

Language:

english

File:

PDF, 406 KB

english, 2013

27

An Inverse Problem for Self-adjoint Positive Hankel Operators

Gérard, Patrick, Pushnitski, Alexander

Journal:

International Mathematics Research Notices

Year:

2015

Language:

english

File:

PDF, 243 KB

english, 2015

28

Spectral shift function of the schrödinger operator in the large coupling constant limit

Pushnitski, Alexander

Journal:

Communications in Partial Differential Equations

Year:

2000

Language:

english

File:

PDF, 1.07 MB

english, 2000

29

Scattering matrix and functions of self-adjoint operators

Pushnitski, Alexander

Journal:

Journal of Spectral Theory

Year:

2011

Language:

english

File:

PDF, 183 KB

english, 2011

30

The spectral density of the scattering matrix of the magnetic Schrödinger operator for high energies

Bulger, Daniel, Pushnitski, Alexander

Journal:

Journal of Spectral Theory

Year:

2013

Language:

english

File:

PDF, 196 KB

english, 2013

31

A multichannel scheme in smooth scattering theory

Pushnitski, Alexander, Yafaev, Dmitri

Journal:

Journal of Spectral Theory

Year:

2013

Language:

english

File:

PDF, 318 KB

english, 2013

32

The spectrum of Liouville operators and multiparticle Hamiltonians associated to one-particle Hamiltonians with singular continuous spectrum

Pushnitski, A. B.

Journal:

Journal of Mathematical Physics

Year:

1997

Language:

english

File:

PDF, 415 KB

english, 1997

33

Estimates for the spectral shift function of the polyharmonic operator

Pushnitski, Alexander

Journal:

Journal of Mathematical Physics

Year:

1999

Language:

english

File:

PDF, 388 KB

english, 1999

34

Trace Class Conditions for Functions of Schrödinger Operators

Frank, Rupert L., Pushnitski, Alexander

Journal:

Communications in Mathematical Physics

Year:

2015

Language:

english

File:

PDF, 297 KB

english, 2015

35

Spectral shift function in strong magnetic fields

Bruneau, V., Pushnitski, A., Raikov, G.

Journal:

St Petersburg Mathematical Journal

Language:

english

File:

PDF, 461 KB

english

36

The Spectral Density of a Difference of Spectral Projections

Pushnitski, Alexander

Journal:

Communications in Mathematical Physics

Year:

2015

Language:

english

File:

PDF, 636 KB

english, 2015

37

The scattering matrix and the differences of spectral projections

Journal:

Bulletin of the London Mathematical Society

Year:

2008

Language:

english

File:

PDF, 202 KB

english, 2008

38

ON THE HIGH-ENERGY ASYMPTOTICS OF THE INTEGRATED DENSITY OF STATES

KOROTYAEV, E., PUSHNITSKI, A.

Journal:

Bulletin of the London Mathematical Society

Year:

2003

Language:

english

File:

PDF, 102 KB

english, 2003

39

Localization principle for compact Hankel operators

Pushnitski, Alexander, Yafaev, Dmitri

Journal:

Journal of Functional Analysis

Year:

2015

Language:

english

File:

PDF, 1.22 MB

english, 2015

40

Trace Formulae and High Energy Asymptotics for the Stark Operator

Korotyaev, E., Pushnitski, A.

Journal:

Communications in Partial Differential Equations

Year:

2003

Language:

english

File:

PDF, 473 KB

english, 2003

41

Spectral asymptotics for compact self-adjoint Hankel operators

Pushnitski, Alexander, Yafaev, Dmitri

Journal:

Journal of Spectral Theory

Year:

2016

Language:

english

File:

PDF, 337 KB

english, 2016

42

A Helson matrix with explicit eigenvalue asymptotics

Miheisi, Nazar, Pushnitski, Alexander

Journal:

Journal of Functional Analysis

Year:

2017

Language:

english

File:

PDF, 323 KB

english, 2017

43

Weighted integral Hankel operators with continuous spectrum

Fedele, Emilio, Pushnitski, Alexander

Journal:

Concrete Operators

Language:

english

File:

PDF, 248 KB

english

44

INVERSE SPECTRAL THEORY FOR A CLASS OF NON-COMPACT HANKEL OPERATORS

Gérard, Patrick, Pushnitski, Alexander

Journal:

Year:

2019

Language:

english

File:

PDF, 290 KB

english, 2019

45

Schatten Class Conditions for Functions of Schrödinger Operators

Frank, Rupert L., Pushnitski, Alexander

Journal:

Annales Henri Poincaré

Year:

2019

Language:

english

File:

PDF, 473 KB

english, 2019