Hermite expansions of $C_0$-groups and cosine functions

Luciano Abadias; Pedro J. Miana

Hermite expansions of $C_0$-groups and cosine functions

Functional Analysis 2014-08-15 v2

Authors: Luciano Abadias , Pedro J. Miana

Abstract

In this paper we introduce vector-valued Hermite expansions to approximate one-parameter operator families such as $C_0$ -groups and cosine functions. In both cases we estimate the rate of convergence of these Hermite expansions to the related family and compare with other known approximations. Finally we illustrate our results with particular examples of $C_0$ -groups and cosine functions and their Hermite expansions.

Keywords

Hermite expansions C0-groups cosine functions vector-valued approximation convergence rate one-parameter operator families

Cite

@article{arxiv.1404.3871,
  title  = {Hermite expansions of $C_0$-groups and cosine functions},
  author = {Luciano Abadias and Pedro J. Miana},
  journal= {arXiv preprint arXiv:1404.3871},
  year   = {2014}
}

Comments

22 pages. This is a new version of our work about Hermite expansions, in which we complement some of the existing results, and we have added other relevant theorems related to the problem of expansions of groups and cosine funcions through Hermite polynomials

Hermite expansions of $C_0$-groups and cosine functions

Abstract

Keywords

Cite

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