A Universality Property of Gaussian Analytic Functions
β Scribed by Andrew Ledoan, Marco Merkli, Shannon Starr
- Book ID
- 113072950
- Publisher
- Springer US
- Year
- 2011
- Tongue
- English
- Weight
- 426 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0894-9840
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
There exists a power series f 0 (z)= &=0 a & z & with radius of convergence 1, such that, for every bounded simply connected domain G, G & [z # C : |z| 1]=< and for every function f : G Γ C holomorphic in G ( f # H(G )), there exists a strictly increasing sequence n k # [0, 1, 2, ...] such that \_ n
For analytic functions the remainder term of Gaussian quadrature formula and its Kronrod extension can be represented as a contour integral with a complex kernel. We study these kernels on elliptic contours with foci at the points Β±1 and the sum of semi-axes > 1 for the Chebyshev weight functions of