Automorphisms generated by umbral calculus on a nuclear space of entire test functions

Authors

  • F. Jamil Department of Mathematics and Statistics, MSU-Iligan Institute of technology, Iligan City, Philippines
  • Yu. G. Kondratiev Faculty of Mathematics, Bielefeld University, Germany
  • Sh. Menchavez Department of Mathematics and Statistics, MSU-Iligan Institute of technology, Iligan City, Philippines
  • L. Streit </span>BiBoS, Bielefeld University, Germany; CCM, Universidade da Madeira, Funchal, Portugal&nbsp; https://orcid.org/0000-0002-9472-1487

DOI:

Keywords:

White noise theory, umbral calculus, topological spaces of test functions, special classes of entire functions and growth estimates

Abstract

In this paper we show that Sheffer operators, mapping monomials to certain Sheffer polynomial sequences, such as falling and rising factorials, Charlier, and Hermite polynomials extend to continuous automorphisms on the space of entire functions of first order growth and minimal type.

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Published

2018-12-25

Issue

Vol. 24 No. 4 (2018)

Section

Articles

How to Cite

Jamil, F., et al. “Automorphisms Generated by Umbral Calculus on a Nuclear Space of Entire Test Functions”. Methods of Functional Analysis and Topology, vol. 24, no. 4, Dec. 2018, pp. 339-48, https://zen.imath.kiev.ua/index.php/mfat/article/view/704.