Open AccessUniversal approximation theorem for Dirichlet series
Author(s) -
Olivier Demanze,
Augustin Mouze
Publication year - 2006
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/ijmms/2006/37014
Subject(s) - mathematics , dirichlet series , general dirichlet series , operator (biology) , complex plane , holomorphic function , series (stratigraphy) , shift operator , extension (predicate logic) , dirichlet distribution , pure mathematics , mathematical analysis , compact operator , biochemistry , computer science , repressor , biology , chemistry , paleontology , boundary value problem , transcription factor , programming language , gene
The paper deals with an extension theorem by Costakis and Vlachouon simultaneous approximation for holomorphic function to the setting of Dirichlet series, which are absolutely convergent in the right half of the complex plane. The derivation operator used in the analytic case is substituted by a weighted backward shift operator in the Dirichlet case. We show the similarities and extensions in comparing both results. Several density results are proved that finally lead to the main theorem on simultaneousapproximation
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom