CURRICULUM VITAE



Leonid B.Golinskii                          Date of birth:
Leading Research Fellow,                    December 9, 1952
Institute for Low Temperature Physics &     Citizenship:
Engineering, Ukraine Acad. of Sciences      Citizen of the Ukraine
47 Nauky ave., Kharkiv 61103, Ukraine

EDUCATION

Doctor of Science in mathematical analysis from the Institute for
Low Temperature Physics & Engineering, Kharkov, Ukraine, 2003;
Ph.D. in probability theory and mathematical statistics from Steklov
Math. Institute, Russian Acad. of Sci.(St.Petersburg Dept), 1986;
MSc  Kharkov State University, Dept. of Math., graduated in 1974.

PROFESSIONAL EXPERIENCE, POSITIONS HELD:

Leading Research Fellow, Institute for Low Temperature Physics,
Ukraine Acad. of Sci., Kharkov, 2008 - present time
Senior Research Fellow, Institute for Low Temperature Physics,
Ukraine Acad. of Sci., Kharkov, 1988 - 2008
Junior Research Fellow, Institute for Low Temperature Physics,
Ukraine Acad. of Sci., Kharkov, 1977 - 1988
Visiting Associate Professor
The Ohio State University (Columbus, OH), 1996-1997, 1998-1999, 2001

TEACHING EXPERIENCE, COURSES GIVEN WITHIN LAST TEN YEARS:

The Kharkov State University   - Complex Analysis, Functional 
                                 Analysis, Probability Theory.
                                 Graduate Courses:
                               - Orthogonal Polynomials and Applications,
                               - Spectral Theory of Stationary 
                                 Random Processes
The Ohio State University        (Columbus, OH), 1996-1997, 1998-1999, 2001
                               - Ordinary and Partial Differential Equation,
                                 Introductory Linear Algebra,
                                 Introduction to Real Analysis,
                                 Real Analysis II-III.

AREAS OF SPECIALIZATION

Complex Analysis, Potential Theory, Operator Theory, Harmonic Analysis.

THESIS TITLE (Doctor of Science)

Orthogonal polynomials on the unit circle, Szego difference 
equations and unitary Hessenberg matrices.

ACTIVITIES AND AWARDS

Member of the Editorial Board, Journal of Approximation Theory

M. Ostrogradsky prize of the Ukrainian Academy of Sciences, 2014


AREAS OF RESEARCH INTEREST


COMPLEX ANALYSIS and POTENTIAL THEORY (including Blaschke type conditions for analytic
and subharmonic functions and applications, orthogonal polynomials 
and their applications, model spaces and applications, J-contractive matrix functions 
and their applications)

OPERATOR THEORY (including spectral theory of unitary and self-adjoint
operators and infinite graphs, perturbation theory with applications to orthogonal 
polynomials, Schrodinger and Jacobi operators with complex potential)

HARMONIC ANALYSIS (including multivariate positive definite functions, Riesz sequences
of translates and exponential functions, methods of operator theory in sampling and 
interpolation problems)



                          LIST OF REFEREES


Prof. B. Simon       Department of Mathematics, California Institute of
                     Technology, Pasadena, CA 91125, USA

Prof. A. Borichev    Department of Mathematics, Aix-Marseille University, CNRS,
                     Centrale Marseille, I2M, France.    

Prof. S. Kupin       Department of Mathematics, Bordeaux University, IMB, France.

Prof. W. Van Assche  Department of Mathematics, Katholieke Universiteit
                     Leuven, Celestijnenlaan 200B, B-3001 Heverlee, Belgium.

Prof. P. Nevai       Department of Mathematics, The Ohio State University,
                     P.O. Box 3341 Columbus, OH 43210, USA.



                           LIST OF RECENT PUBLICATIONS
 


   1. Blaschke-type conditions on unbounded domains, generalized convexity, and applications in perturbation 
       theory (with S. Favorov), Revista Matematica Iberoamericana, 31 no. 1 (2015), 1--32.

   2. Schoenberg matrices of radial positive defnite functions and Riesz sequences of translates in L2(Rn), 
       (with M. Malamud and L. Oridoroga), Journal of Fourier Anal. Appl., 21 no. 5 (2015), 915--960.

   3. Spectra of infinite graphs with tails, Linear and Multilinear Algebra, 64 no. 11 (2016), 2270--2296.

   4. On non-selfadjoint perturbations of infinite band Schrodinger operators and Kato method (with S. Kupin),  In: Proceedings
       of the conference "Harmonic Analysis, Function Theory, Operator Theory and Applications. Bordeaux,  2015", 
       Theta Foundation, Bucarest, 2017, pp. 171-182.

   5. On a local Darlington synthesis problem, Complex Anal. Oper. Theory, 12, no. 4 (2018), 869--876. 

   6. On zeros of analytic functions satisfying non-radial growth conditions (with A. Borichev and S. Kupin), 
       Rev. Mat. Iberoam., 34, no. 3 (2018), 1153--1176.