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1

THE SCATTERING PROBLEM FOR A DISCRETE STURM-LIOUVILLE OPERATOR

Aptekarev, A I, Nikishin, E M

Journal:

Mathematics of the USSR-Sbornik

Year:

1984

Language:

english

File:

PDF, 630 KB

english, 1984

2

On the variational representation of solutions to some quasilinear equations and systems of hyperbolic type on the basis of potential theory

A. I. Aptekarev, Yu. G. Rykov

Journal:

Russian Journal of Mathematical Physics

Year:

2006

Language:

english

File:

PDF, 458 KB

english, 2006

3

A variational representation of solutions to a certain hyperbolic system of equations by using a logarithmic potential in the external field

A. I. Aptekarev, Yu. G. Rykov

Journal:

Doklady Mathematics

Year:

2006

Language:

english

File:

PDF, 163 KB

english, 2006

4

Padé approximants, continued fractions, and orthogonal polynomials

Aptekarev, Alexander I, Buslaev, Viktor I, Martínez-Finkelshtein, Andrei, Suetin, Sergey P

Journal:

Russian Mathematical Surveys

Year:

2011

Language:

english

File:

PDF, 1.30 MB

english, 2011

5

Asymptotics of discrete orthogonal polynomials and the continuum limit of the Toda lattice

Aptekarev, A I, Assche, W Van

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

2001

Language:

english

File:

PDF, 120 KB

english, 2001

6

Discrete Spectra of Certain Co-Recursive Pollaczek Polynomials and its Applications

Alexandre I. Aptekarev, André Draux…

Journal:

Computational Methods and Function Theory

Year:

2004

Language:

english

File:

PDF, 236 KB

english, 2004

7

Criterion for the Resolvent Set of Nonsymmetric Tridiagonal Operators

A. I. Aptekarev, V. Kaliaguine and W. Van Assche

Journal:

Proceedings of the American Mathematical Society

Year:

1995

Language:

english

File:

PDF, 189 KB

english, 1995

8

Multiple Orthogonal Polynomials for Classical Weights

A. I. Aptekarev, A. Branquinho and W. Van Assche

Journal:

Transactions of the American Mathematical Society

Year:

2003

Language:

english

File:

PDF, 1.87 MB

english, 2003

9

Sharp constants for rational approximations of analytic functions

Journal:

Russian Academy of Sciences Sbornik Mathematics

Year:

2002

Language:

english

File:

PDF, 567 KB

english, 2002

10

10.1090/S0002-9947-03-03330-0

Aptekarev, A. I., Branquinho, A., Van Assche, W.

Journal:

Transactions of the American Mathematical Society

Year:

2003

Language:

english

File:

PDF, 340 KB

english, 2003

11

Padé approximants for functions with branch points — strong asymptotics of Nuttall–Stahl polynomials

Aptekarev, Alexander I., Yattselev, Maxim L.

Journal:

Acta Mathematica

Year:

2015

Language:

english

File:

PDF, 721 KB

english, 2015

12

On a problem by Steklov

Aptekarev, A., Denisov, S., Tulyakov, D.

Journal:

Journal of the American Mathematical Society

Year:

2015

Language:

english

File:

PDF, 524 KB

english, 2015

13

Criterion for the resolvent set of nonsymmetric tridiagonal operators

Aptekarev, A. I., Kaliaguine, V., Van Assche, W.

Journal:

Proceedings of the American Mathematical Society

Year:

1995

Language:

english

File:

PDF, 681 KB

english, 1995

14

AIP Conference Proceedings [AIP Publishing MODERN TREATMENT OF SYMMETRIES, DIFFERENTIAL EQUATIONS AND APPLICATIONS (Symmetry 2019) - Nakhon Ratchasima, Thailand (14–18 January 2019)] MODERN TREATMENT OF SYMMETRIES, DIFFERENTIAL EQUATIONS AND APPLICATIONS (Symmetry 2019) - On direct and inverse spectral problems for a class of selfadjoint difference operators on the graph–tree

Aptekarev, Alexander I.

Year:

2019

Language:

english

File:

PDF, 505 KB

english, 2019

15

Rational Approximations and Orthogonality, Translations of Mathematical Monographs, Volume 92, E. M. Nikishin and V. N. Sorokin, American Mathematical Society, 1991, viii + 221 pp.

Journal:

Journal of Approximation Theory

Year:

1993

File:

PDF, 115 KB

1993

16

Semiclassical Multiple Orthogonal Polynomials and the Properties of Jacobi–Bessel Polynomials

A.I. Aptekarev, F. Marcellán, I.A. Rocha

Journal:

Journal of Approximation Theory

Year:

1997

Language:

english

File:

PDF, 429 KB

english, 1997

17

Strong Asymptotics for the Continuous Sobolev Orthogonal Polynomials on the Unit Circle

A. Aptekarev, E. Berriochoa, A. Cachafeiro

Journal:

Journal of Approximation Theory

Year:

1999

Language:

english

File:

PDF, 110 KB

english, 1999

18

Asymptotics of orthogonal polynomial’s entropy

A.I. Aptekarev, J.S. Dehesa, A. Martinez-Finkelshtein

Journal:

Journal of Computational and Applied Mathematics

Year:

2010

Language:

english

File:

PDF, 585 KB

english, 2010

19

Equilibrium of vector potentials and uniformization of the algebraic curves of genus 0

A.I. Aptekarev, V.A. Kalyagin, V.G. Lysov, D.N. Toulyakov

Journal:

Journal of Computational and Applied Mathematics

Year:

2009

Language:

english

File:

PDF, 1.03 MB

english, 2009

20

On the limit behavior of recurrence coefficients for multiple orthogonal polynomials

A.I. Aptekarev, V. Kalyagin, G. López Lagomasino, I.A. Rocha

Journal:

Journal of Approximation Theory

Year:

2006

Language:

english

File:

PDF, 266 KB

english, 2006

21

A scalar Riemann boundary value problem approach to orthogonal polynomials on the circle

A. Aptekarev, A. Cachafeiro, F. Marcellán

Journal:

Journal of Approximation Theory

Year:

2006

Language:

english

File:

PDF, 153 KB

english, 2006

22

Varying weights for orthogonal polynomials with monotonically varying recurrence coefficients

A.I. Aptekarev, J.S. Geronimo, W. Van Assche

Journal:

Journal of Approximation Theory

Year:

2008

Language:

english

File:

PDF, 286 KB

english, 2008

23

Padé approximants and complex high order Toda lattices

A.I. Aptekarev, A. Branquinho

Journal:

Journal of Computational and Applied Mathematics

Year:

2003

Language:

english

File:

PDF, 113 KB

english, 2003

24

Toda-type differential equations for the recurrence coefficients of orthogonal polynomials and Freud transformation

A.I. Aptekarev, A. Branquinho, F. Marcellán

Journal:

Journal of Computational and Applied Mathematics

Year:

1997

Language:

english

File:

PDF, 853 KB

english, 1997

25

Multiple orthogonal polynomials

Journal:

Journal of Computational and Applied Mathematics

Year:

1998

Language:

english

File:

PDF, 1.22 MB

english, 1998

26

LargenLimit of Gaussian Random Matrices with External Source, Part II

Alexander I. Aptekarev, Pavel M. Bleher, Arno B.J Kuijlaars

Journal:

Communications in Mathematical Physics

Year:

2005

Language:

english

File:

PDF, 300 KB

english, 2005

27

Higher-Order Three-Term Recurrences and

A. I. Aptekarev, V. A. Kalyagin, E. B. Saff

Journal:

Constructive Approximation

Year:

2009

Language:

english

File:

PDF, 843 KB

english, 2009

28

Discrete Entropies of Orthogonal Polynomials

A. I. Aptekarev, J. S. Dehesa, A. Martínez-Finkelshtein, R. Yáñez

Journal:

Constructive Approximation

Year:

2009

Language:

english

File:

PDF, 644 KB

english, 2009

29

The Genetic Sums' Representation for the Moments of a System of Stieltjes Functions and its Application

A. Aptekarev, V. Kaliaguine, J. Van Iseghem

Journal:

Constructive Approximation

Year:

2000

Language:

english

File:

PDF, 239 KB

english, 2000

30

Global eigenvalue distribution regime of random matrices with an anharmonic potential and an external source

A. I. Aptekarev, V. G. Lysov, D. N. Tulyakov

Journal:

Theoretical and Mathematical Physics

Year:

2009

Language:

english

File:

PDF, 547 KB

english, 2009

31

Scalar and matrix Riemann–Hilbert approach to the strong asymptotics of Padé approximants and complex orthogonal polynomials with varying weight

A.I Aptekarev, W Van Assche

Journal:

Journal of Approximation Theory

Year:

2004

Language:

english

File:

PDF, 395 KB

english, 2004

32

Preface

A. I. Aptekarev

Journal:

Proceedings of the Steklov Institute of Mathematics

Year:

2011

Language:

english

File:

PDF, 148 KB

english, 2011

33

Asymptotic γ-forms generated by multiple orthogonal polynomials

A. I. Aptekarev, V. G. Lysov

Journal:

Proceedings of the Steklov Institute of Mathematics

Year:

2011

Language:

english

File:

PDF, 178 KB

english, 2011

34

Four-term recurrence relations for γ-forms

A. I. Aptekarev, D. N. Tulyakov

Journal:

Proceedings of the Steklov Institute of Mathematics

Year:

2011

Language:

english

File:

PDF, 149 KB

english, 2011

35

Asymptotics of Hermite-Padé approximants for two functions with branch points

A. I. Aptekarev

Journal:

Doklady Mathematics

Year:

2008

Language:

english

File:

PDF, 192 KB

english, 2008

36

On a Characterization of Integrability for the Reciprocal Weight of Orthogonal Polynomials on the Circle

A. Aptekarev, E. Berriochoa, A. Cachafeiro

Journal:

Acta Applicandae Mathematicae

Year:

2000

Language:

english

File:

PDF, 46 KB

english, 2000

37

Rényi entropy of the infinite well potential in momentum space and Dirichlet-like trigonometric functionals

Aptekarev, A. I., Dehesa, J. S., Sánchez-Moreno, P., Tulyakov, D. N.

Journal:

Journal of Mathematical Chemistry

Year:

2012

Language:

english

File:

PDF, 177 KB

english, 2012

38

Strong asymptotics of Laguerre polynomials and information entropies of two-dimensional harmonic oscillator and one-dimensional Coulomb potentials

Dehesa, J. S., Yáñez, R. J., Aptekarev, A. I., Buyarov, V.

Journal:

Journal of Mathematical Physics

Year:

1998

Language:

english

File:

PDF, 504 KB

english, 1998

39

Spatial entropy of central potentials and strong asymptotics of orthogonal polynomials

Aptekarev, A. I., Dehesa, J. S., Yáñez, R. J.

Journal:

Journal of Mathematical Physics

Year:

1994

Language:

english

File:

PDF, 708 KB

english, 1994

40

On the resolvent of the gauss operator

Aptekarev, A. I., Buyarov, V. S.

Journal:

Mathematical Notes

Year:

2013

Language:

english

File:

PDF, 520 KB

english, 2013

41

In memoriam: Herbert Stahl August 3, 1942–April 22, 2013

Aptekarev, Alexander, Nevai, Paul, Totik, Vilmos

Journal:

Journal of Approximation Theory

Year:

2014

Language:

english

File:

PDF, 1.23 MB

english, 2014

42

Asymptotics for multiple Meixner polynomials

Aptekarev, A., Arvesú, J.

Journal:

Journal of Mathematical Analysis and Applications

Year:

2014

Language:

english

File:

PDF, 443 KB

english, 2014

43

On 2D discrete Schrödinger operators associated with multiple orthogonal polynomials

Aptekarev, A I, Derevyagin, M, Assche, W Van

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2015

Language:

english

File:

PDF, 432 KB

english, 2015

44

The leading term of the Plancherel-Rotach asymptotic formula for solutions of recurrence relations

Aptekarev, A I, Tulyakov, D N

Journal:

Russian Academy of Sciences Sbornik Mathematics

Year:

2014

Language:

english

File:

PDF, 1.64 MB

english, 2014

45

Hermite-Padé approximations and multiple orthogonal polynomial ensembles

Aptekarev, Alexander I, Kuijlaars, Arno

Journal:

Russian Mathematical Surveys

Year:

2011

Language:

english

File:

PDF, 65 KB

english, 2011

46

Andrei Aleksandrovich Gonchar (on his 80th birthday)

Aptekarev, Alexander I, Lagomasino, G L, Saff, Edward B, Stahl, Herbert, Totik, Vilmos

Journal:

Russian Mathematical Surveys

Year:

2011

Language:

english

File:

PDF, 65 KB

english, 2011

47

Boris Nikolaevich Chetverushkin (on his 70th birthday)

Aptekarev, A I, Afendikov, A L, Buchstaber, V M, Godunov, S K, Zhizhchenko, A B, Kozlov, V V, Maslov, A I, Platonov, V P, Tishkin, V F, Faddeev, L D

Journal:

Russian Mathematical Surveys

Year:

2014

Language:

english

File:

PDF, 1.01 MB

english, 2014

48

ASYMPTOTIC PROPERTIES OF POLYNOMIALS ORTHOGONAL ON A SYSTEM OF CONTOURS, AND PERIODIC MOTIONS OF TODA LATTICES

Journal:

Mathematics of the USSR-Sbornik

Year:

1986

Language:

english

File:

PDF, 1.21 MB

english, 1986

49

Hyperelliptic uniformization of algebraic curves of the third order

Aptekarev, A.I., Toulyakov, D.N., Van Assche, W.

Journal:

Journal of Computational and Applied Mathematics

Year:

2015

Language:

english

File:

PDF, 727 KB

english, 2015

50

Systems of Markov functions generated by graphs and the asymptotics of their Hermite-Padé approximants

Aptekarev, Alexander I, Lysov, Vladimir G

Journal:

Russian Academy of Sciences Sbornik Mathematics

Year:

2010

Language:

english

File:

PDF, 718 KB

english, 2010