| Title |
Automorphisms Generated by Umbral Calculus on a Nuclear Space of Entire Test Functions |
|
Authors |
Ferdinand Jamil, Yuri Kondratiev, Sheila Menchavez, Ludwig Streit |
|
Publication date |
2018/12/31 |
|
Journal |
Methods of Functional Analysis and Topology |
| Volume |
24 |
| Issue |
no. 4 |
| Pages |
pp 339-348 |
| Publisher |
Institute of Mathematics NAS of Ukraine, National Pedagogical Dragomanov University |
| 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. |
| Index terms / Keywords |
White White noise theory, umbral calculus, topological spaces of test functions, special classes of entire functions and growth estimates. |
| URL |
|
Mindanao State
University - Iligan Institute of Technology