This paper is concerned with the study of Mahler's measure of an univariate polynomial. A theorem of Szego says that the measure of P is equal to the infimum of &PQ& 2 where Q is a monic polynomial. Here we study how the infimum of &PQ& 2 , where Q is monic and has degree k, tends to the measure of
✦ LIBER ✦
Finite sections of Wiener-Hopf equations and Szegö polynomials
✍ Scribed by I.I Hirschman Jr.
- Publisher
- Elsevier Science
- Year
- 1965
- Tongue
- English
- Weight
- 994 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Finite-Dimensional Mahler Measure of a P
✍
Jérome Dégot
📂
Article
📅
1997
🏛
Elsevier Science
🌐
English
⚖ 545 KB
Superconvergent approximations for Wiene
✍
Jun Shi; Qun Lin
📂
Article
📅
1996
🏛
Institute of Applied Mathematics, Chinese Academy
🌐
English
⚖ 329 KB
Solution space of discrete Wiener-Hopf e
✍
Yoshimasa Nakamura
📂
Article
📅
1988
🏛
Springer
🌐
English
⚖ 182 KB
It is shown that the solution space of a system of discrete Wiener-Hopf equations is a set of points on an infinite-dimensional Grassmann manifold. Fractional transformations acting on the solution space are also discussed.
On the solution of an eigenvalue equatio
✍
R. Mittra
📂
Article
📅
1960
🏛
Springer-Verlag
⚖ 220 KB
On the Fredholm theory of Wiener-Hopf eq
✍
M. A. Bastos; A. F. dos Santos; A. B. Lebre
📂
Article
📅
1988
🏛
SP Birkhäuser Verlag Basel
🌐
English
⚖ 434 KB
On the Exponential Convergence of Spline
✍
Johannes Elschner
📂
Article
📅
2009
🏛
John Wiley and Sons
🌐
English
⚖ 542 KB
## Abstract We consider the approximate solution of Wiener‐Hopf integral equations by Galerkin, collocation and Nyström methods based on piecewise polynomials where accuracy is achieved by increasing simultaneously the number of mesh points and the degree of the polynomials. We look for the stabili