Hadamard multipliers on spaces of real analytic functions
Authors:
- Paweł Jan Domański,
- Michael Langenbruch
Abstract
We consider multipliers on spaces of real analytic functions of one variable, i.e.,maps for which monomials are eigenvectors. We characterize sequences of complex numbers which are sequences of eigenvalues for some multiplier. We characterize invertible multipliers, in particular, we find which Euler differential operators of infinite order have global analytic solutions on the real line. We present a number of examples where our theory applies. In some cases we give algorithms for solving the respective equations. Perturbation results for solvability are presented. © 2013 Elsevier Ltd.
- Record ID
- UAMe6a00189faf84d898e668d1cb7e54bbe
- Author
- Journal series
- Advances in Mathematics, ISSN 0001-8708
- Issue year
- 2013
- Vol
- 240
- Pages
- 575-612
- ASJC Classification
- DOI
- DOI:10.1016/j.aim.2013.01.015 Opening in a new tab
- Language
- (en) English
- Score (nominal)
- 45
- Score source
- journalList
- Score
- Publication indicators
- = 14; : 2013 = 1.987; : 2013 (2 years) = 1.353 - 2013 (5 years) =1.447
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- Uniform Resource Identifier
- https://researchportal.amu.edu.pl/info/article/UAMe6a00189faf84d898e668d1cb7e54bbe/
- URN
urn:amu-prod:UAMe6a00189faf84d898e668d1cb7e54bbe
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or PerishOpening in a new tab system.