Department of Mathematics
Professional Interests: Zero distribution of polynomials and entire functions, hyperbolic polynomials, stable polynomials, total positivity, multiple positivity.
Recent Publications:
| 2020 | [MR4181781] Hermite-Poulain theorems for linear finite difference operators . Constructive Approximation 52 (3), 357-393. --- O. Katkova, M. Tyaglov, A. Vishnyakova |
| 2018 | [MR3847101] Linear finite difference operators preserving the Laguerre–Pólya class . Complex Variables and Elliptic Equations 63 (11), 1604-1619. --- O. Katkova, M. Tyaglov, A. Vishnyakova |
| 2014 | [MR3182557] The cone of nonnegative polynomials with nonnegative coefficients and linear operators preserving this cone . Cent. Eur. J. Math. 12, no. 5, 752--760. --- Katkova, Olga ; Vishnyakova, Anna |
| 2011 | [MR2755692] Multiplier sequences and logarithmic mesh . C. R. Math. Acad. Sci. Paris 349, no. 1-2, 35--38. --- Katkova, Olga ; Shapiro, Boris ; Vishnyakova, Anna |
| 2010 | [MR2760498] A remark about positive polynomials . Math. Inequal. Appl. 13, no. 4, 753--759. --- Katkova, Olga M. ; Vishnyakova, Anna M. |
| 2009 | [MR2478278] On the stability of Taylor sections of a function $\sum_{k=0}^{\infty} z^k/a^{k^2}$, $a>1$ . Comput. Methods Funct. Theory 9 (2009), no. 1, 305--322.. --- Katkova, Olga M. ; Vishnyakova, Anna M. |
| [MR2596604] Linear operators preserving the set of positive (nonnegative) polynomials . Positive systems, 83--90, Lect. Notes Control Inf. Sci., 389, Springer, Berlin,. --- Katkova, Olga M. ; Vishnyakova, Anna M. | |
| 2008 | [MR2433826] A sufficient condition for a polynomial to be stable. . J. Math. Anal. Appl. 347 (2008), no. 1, 81--89.. --- Katkova, Olga M. ; Vishnyakova, Anna M. |
| [MR2455795] Convexity around the unit of a Banach algebra. . Serdica Math. J. 34 (2008), no. 3, 619--628.. --- Kadets, Vladimir ; Katkova, Olga ; Martín, Miguel ; Vishnyakova, Anna | |
| 2007 | [MR2321798] Multiple positivity and the Riemann zeta-function. . Comput. Methods Funct. Theory 7 (2007), no. 1, 13--31. --- Katkova,, Olga M. |
| 2006 | [MR2242482] On sufficient conditions for the total positivity and for the multiple positivity of matrices. . Linear Algebra Appl. 416 (2006), no. 2-3, 1083--1097.. --- Katkova, Olga M. ; Vishnyakova, Anna M. |
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Department of Mathematics University of Massachusetts Boston Phone: 617-287-6460; Fax: 617-287-6433 Information: math@umb.edu |
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