Alexander Stokolos
Georgia Southern University
Department of Mathematical Sciences
PO Box 8093
Statesboro, GA 30460-8093
Office: Math/Physics Building, Room 3328
Phone: (912) 478 5298
Fax: (912) 478 0654
E-mail: astokolosATgeorgiasouthernDOTedu
Kvitka Cisyk - a gift from God: Songs of Ukraine.
Research: My scientific interest is in Harmonic and Computation Analysis, Ergodic Theory, Boundary Behavior of Solutions of Elliptic PDE and Analytic Functions, Direct and Converse Theorems of Constructive Approximation Theory, Metric Number Theory, Nonlinear Dynamics and the Bellman Functions Method (an excellent introduction in Bellman Function Theory by Vasily Vasyunin can be found here )
I am a member of the Harmonic Analysis and Partial Differential Equations group (HAPDE) at Chalmers University, Goeteborg.
I was a co-organizer of The International Conference on Approximation and Potential Theory, Sept 22-25 2023, Savannah GA
I was a co-organizer of The International Conference in Approximation Theory, May 8-11 2017, Savannah GA
I was a co-organizer of several sessions on 2011 AMS Spring Southeastern Section Meeting, Georgia Southern University, March 12-13, 2011.
I was a co-organizer of the International Conference on q-Series, Partitions and Special Functions, Georgia Southern University, March 14-16, 2011.
I was a co-organizer of the International Conference on Harmonic Analysis and Ergodic Theory , DePaul University, December 2-4, 2005. The proceedings of the conference is published in "Topics in Harmonic Analysis and Ergodic Theory" , CONM/444
Gifts from friends:
"On Spectra of Approximating Polinomials", "On Flora and Fauna of Vector Seas" and "A-stabilization and the ranges of complex polynomials on the unit disk" by Alexey Solyanik
"Bernstein, Geronimus, Szego, Peherstorfer. Alternances and Signatures"by Yuriy Kryakin and Alexander Babenko
My appearance in students eyes, by Iryna Petrenko.
Gifts to friends:
"Recent Advances in Harmonic Analysis and Applications". In Honor of Konstantin Oskolkov. Springer, 2013.
"Special Functions, Partial Differential Equations, and Harmonic Analysis". In Honor of Calixto P. Calderon. Springer, 2014.
"Harmonic Analysis, Partial Differential Equations, Complex Analysis, Banach Spaces, and Operator Theory". Celebrating Cora Sadosky's life. Association for Women in Mathematics Series. Springer,2016.
"On the stability of cycles by delayed feedback control". In Honor of Yuriy Kryakin. With D.Dmitrishin, P.Haglestein and A.Khamitova. Linear and Multilinear Algebra. Volume 64, Issue 8, 2016, pages 1538-1549.
"Finding cycles in nonlinear autonomous discrete dynamical systems". Dedicated to Alexey Solyanik. With D.Dmitrishin, A.Khamitova and M.Tohaneanu.
Not a recent preprint: On certain classes of maximal and multiplier operators, Warsaw University, 1987.
This preprint was trimmed and converted to the article "On a problem of M. de Guzmán on Fourier multipliers of polygonal domains", Siberian Math. J. 36 (1995), no. 6, 1210--1216, and is cited there as [3]. Mistakingly it was specified "In Russian". The main conclusion of the preprint - a discovery of dichotomous in L^p boundedness of directional maximal operators - is proven there for the basic case of regular directions, and was generalized in M. Bateman "Kakeya sets and directional maximal operators in the plane", Duke Math. J. 147 (2009), no. 1, 55–77
Recent preprints:
Finding, Stabilizing, and Verifying Cycles of Nonlinear Dynamical Systems, With D. Dmitrishin, I.E. Iacob, and I. Skrinnik
Further finding results for cycles by semilinear control, With Dmitriy Dmitrishin, and Elena Franzheva
Generalization of nonlinear control for nonlinear discrete systems, With D. Dmitrishin, I. Skrynnik, and E. Franzheva
Fejer and Suffridge polynomials in the delayed feedback control theory, With D. Dmitrishin, A. Khamitova, and A. Korenovskyi
From chaos to order through mixing. With D. Dmitrishin and I.M.Skrinnik
Fejer Polynomials and Control of Nonlinear Discrete Systems. With D. Dmitrishin, P.Hagelstein, A. Khamitova and A. Korenovskyi.
On the generalized linear and non-linear DFC in non-linear dynamics. With D. Dmitrishin and A. Khamitova
Fejer polynomials in non-linear dynamics. With D. Dmitrishin and A. Khamitova
Methods of harmonic analysis in control of nonlinear discrete systems, II With D. Dmitrishin, A. Khamitova and A. Korenovskyi
Transference of weak type bounds of multiparameter ergodic and geometric maximal operators With P.A. Hagelstein
Some applications of equimeasurable rearrangements With A.A. Korenovskyi
Moduli of smoothness and rate of a.e. convergence for some convolution operators With W. Trebels
Monge-Ampere equations and Bellman functions: the dyadic maximal operator. With L. Slavin and V. Vasyunin
On the Tauberian condition for geometric maximal operators. With P.A. Hagelstein
Properties of the maximal operators associated to bases of rectangles in R^3.
A note on the maximal Gurov-Reshetnyak condition. With A.A. Korenovskyi and A.K. Lerner
On tangential approach regions for bounded harmonic functions in the disc. With F. Di Biase, O. Svensson and T. Weiss.
Zygmund's Program - Some Partial Solutions
On Weak Type Inequalities for Rare Maximal Functions in R^n.
A note on the Gurov-Reshetnyak condition. With A.A. Korenovskyi and A.K. Lerner