Optimal approximation by Blaschke forms

By Tao Qian, Elias Wegert. 2013

49 citations recorded by the source corpus.

We study best approximation of functions in the Hardy space H 2(𝔻) by Blaschke forms, which are finite linear combinations of modified Blaschke products. These functions have poles outside the unit disk which are adapted according to the function to be decomposed. We prove the existence of minimizers and propose an algorithm for their construction.

Subfields: Applied Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/396a82febde72e5b2f1e617ebb408878b8358091

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Tao Qian
2. F. Sommen
3. Irene Sabadini
4. Fabrizio Colombo

In Numerical Analysis

1. Tao Qian

Citations in the corpus

• Two‐dimensional adaptive Fourier decomposition (2014, methodology): “A TM system, as denoted by fBkgkD1 in the sequel, is the result of the G-S orthogonalization process applied to a partial fraction system fEkgkD1 [11, 12].”
• Cyclic AFD algorithm for the best rational approximation (2014, methodology): “There are also recent proofs based on Blaschke form approximation [3, 4].”