Vilmos Totik
Encyclopedia
Vilmos Totik is a Hungarian mathematician
, working in classical analysis, harmonic analysis
, orthogonal polynomials
, approximation theory
, potential theory
. He is a professor of the University of Szeged
. Since 1989 he is also a part time professor at the University of South Florida
(Tampa). He received the Lester R. Ford Award in 2000. He is a corresponding member (1993), member of the Hungarian Academy of Sciences
(2001).
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
, working in classical analysis, harmonic analysis
Harmonic analysis
Harmonic analysis is the branch of mathematics that studies the representation of functions or signals as the superposition of basic waves. It investigates and generalizes the notions of Fourier series and Fourier transforms...
, orthogonal polynomials
Orthogonal polynomials
In mathematics, the classical orthogonal polynomials are the most widely used orthogonal polynomials, and consist of the Hermite polynomials, the Laguerre polynomials, the Jacobi polynomials together with their special cases the ultraspherical polynomials, the Chebyshev polynomials, and the...
, approximation theory
Approximation theory
In mathematics, approximation theory is concerned with how functions can best be approximated with simpler functions, and with quantitatively characterizing the errors introduced thereby...
, potential theory
Potential theory
In mathematics and mathematical physics, potential theory may be defined as the study of harmonic functions.- Definition and comments :The term "potential theory" was coined in 19th-century physics, when it was realized that the fundamental forces of nature could be modeled using potentials which...
. He is a professor of the University of Szeged
University of Szeged
The University of Szeged is one of Hungary's most distinguished universities, and is among the most prominent higher education institutions in Central Europe...
. Since 1989 he is also a part time professor at the University of South Florida
University of South Florida
The University of South Florida, also known as USF, is a member institution of the State University System of Florida, one of the state's three flagship universities for public research, and is located in Tampa, Florida, USA...
(Tampa). He received the Lester R. Ford Award in 2000. He is a corresponding member (1993), member of the Hungarian Academy of Sciences
Hungarian Academy of Sciences
The Hungarian Academy of Sciences is the most important and prestigious learned society of Hungary. Its seat is at the bank of the Danube in Budapest.-History:...
(2001).
His books
- Z. Ditzian, V. Totik: Moduli of smoothness, Springer Series in Computational Mathematics, 9, Springer-Verlag, New York, 1987. x+227 pp. ISBN 0 387 96536 X
- Herbert Stahl, Vilmos Totik: General orthogonal polynomials, Encyclopedia of Mathematics and its Applications, 43 Cambridge University Press, Cambridge, 1992. xii+250 pp. ISBN 0-521-41534-9
- V. Totik: Weighted approximation with varying weight, Lecture Notes in Mathematics, 1569. Springer-Verlag, Berlin, vi+114 p. (1994). ISBN 3 540 57705 X
- Edward B. Saff, Vilmos Totik: Logarithmic potentials with external fields, Appendix B by Thomas Bloom. Grundlehren der Mathematischen Wissenschaften 316 Springer-Verlag, Berlin, 1997. xvi+505 pp. ISBN 3 540 57078 0
- Péter KomjáthPéter KomjáthPéter Komjáth is a Hungarian mathematician, working in set theory, especially combinatorial set theory. Komjáth is a professor at the Eötvös Loránd University....
, Vilmos Totik: Problems and Theorems in Classical Set Theory, Springer-Verlag, Berlin, 2006. ISBN 0 387 30293 X - Vilmos Totik: Metric Properties of Harmonic Measures, 163 pp, American Mathematical Society, 2006, ISBN 0 821 83994 2