Work

Slice regular Malmquist-Takenaka system in the quaternionic Hardy spaces

Year: 2016

Type: article

Abstract: A slice regular analogue of the Malmquist-Takenaka system is investigated. It is proved that they form a complete orthonormal system in the quaternionic Hardy spaces of the unit ball. The properties of associated projection operator are studied. Key Words and Phrases: Functions of hypercomplex variables, quaternionic Hardy spaces, series expansions, interpolation, approximation by rational functions, quaternionic Malmquist-Takenaka system

Source: Repository of the Academy's Library (Library of the Hungarian Academy of Sciences)

DOI: 10.48550/arxiv.1611.06037

Author: Pap, Margit

Institution: University of Pecs

Language: English

Topic: Algebraic and Geometric Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2952030281

FWCI:

Cites: 12

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Related to: 19