**Аreas of expertise**

p-Adic and adelic analysis, approximation and interpolation in non-archimedean fields, wavelets in non-archimedean case, fractals, rational approximation and interpolation of analytic functions, orthogonal polynomials with respect to Sobolev inner product.

**Current positions**

Associate Professor, Department of Theory of Functions, Mechanics and Mathematics Faculty, Belarusian State University

Research Fellow, CASE Belarus

**Education**

Ph.D in Mathematics (1998), Belarusian State University

Diploma in Mathematics (1995), Belarusian State University

**Selected publications**

1. A Link of p-adic Splines with Riesz-Volkenborn Potential. Integral Representations of Locally Constant Functions by Riesz-Volkenborn Potentials // Actual Math. Problems. Scientific Proceedings. — Hrodna. 2008 pp.140 -146 (in Russian)

2. A representation of a characteristic function of a ball by Riesz-Volkenborn’s potential// Vestnik Grodnenskogo universiteta. Ser.2. Physics. Mathematics. Informatics.

Technology. Economics. — 2007. N 2(52). — p. 22-28. (with A. Sender, in Russian).

3. p-Adic splines as an apparatus for approximation of Qp -valued functions// Doklady NAN Belarusi. — 2007. Vol. 51, N 2, p.21 — 25. (with A. Sender, in Russian).

4. Analog of Radial Basis Functions for p-adic case and their applications to approximation of p-adic functions// Proceedings of 4th International Conference «Analytical Methods of Analysis and Differential Equations, AMADE-2006», V.2, pp. 109 — 115. (with A.Sender in Russian)

5. Interpolation and approximation of a continuous function acting from Zp to Qp by p-adic splines, Vestnik BGU, ser 1. 2007, N 1, P. 77-82. (with A.Sender, in Russian)

6. Eigenvalues and Invertibility of Parisi Matrices. Ultramentric Group Point of View. Advanced Studies in Contemprorary Mathematica, 8, (2004), No. 2, pp. 95-102. (with A.

Khrennikov).

7. m-Adic Multivariate Linear Splines and their Applications to Approximation Theory, Proceedings of the International Conference on Functional Analysis and its Applications Dedicated to the 110-th Anniversary of Stefan Banach, May 28-31, 2002, Lviv, Ukraine. North-Holland Mathematics Studies 197, Functional Analysis and its Applications. Elsevier, 2004. pp. 257-266.

8. Interpolation and approximation by p-adic linear splines of a function from C (Zp ; R). Vestsi NAN Belarusi. Phys. and Math. series. 2004. N 2. pp. 21-24. (in Belarusian)

9. Space quantization of a macroscopic spin. Reports from MSI V ̈axj̈o University, Report 03115 ISSN 1650-2647, November 2003. (with G. Adenier, S. de Gosson, A. Khrennikov).

10. p-Adic Interpolation and Approximation of a Continuous Function by Linear Combinations of Shifts of p-adic Valuations, Journal of Approximation Theory, Vol. 120, issue 1, p. 124-135, (2003) (with A. Khrennikov)

11. About the Rate of Rational Approximation of Some analytic functions, Mathematical Modelling and Analysis, 1998, V 3, 383, p. 168 — 176.

12. A Rate of Approximation of a Function which is Analytic in a Disk, Proceedings of the International Conference Dedicated 75 Anniversary of Academician of RAS prof. L.D. Kudryavtsev: Functional Spaces. Differential Operators. Problems of Mathematical Education., 1998, V.1, pp. 130 — 135. (in Russian)

13. Investigation of Speed of the Rational Approximation of Some Class of Analytic Func- tions, Mathematical Methods and Physicomechanical Fields, 1997, V.40, N 4, pp. 32-39.(in Russian)

14. Dependence of a Speed of Rational Approximation from an Order and Type of the Function, Vestsi Academii navuk Belarusi, N3, pp. 36-41. (in Russian)

15. Asymptotic Behavior of the Orthogonal Polynomials with Respect to the Sobolev Inner Product, Doklady Academii nauk Belarusi, 1997, V.41, N 4, pp. 23 -29.(in Russian)