Displaying similar documents to “Almost-distribution cosine functions and integrated cosine functions”

Cosine operator functions

M. Sova

Similarity:

CONTENTS0. Introduction............................................................................................................... 31. Preliminaries............................................................................................................ 32. Cosine operator functions..................................................................................... 63. Generation of cosine operator functions............................................................ 234. Cosine...

Almost periodicity of C-semigroups, integrated semigroups and C-cosine functions

Xiaohui Gu, Miao Li, Falun Huang (2002)

Studia Mathematica

Similarity:

We investigate the characterization of almost periodic C-semigroups, via the Hille-Yosida space Z₀, in case of R(C) being non-dense. Analogous results are obtained for C-cosine functions. We also discuss the almost periodicity of integrated semigroups.

Strongly continuous integrated C-cosine operator functions

Shen Wang, Zhen Huang (1997)

Studia Mathematica

Similarity:

We extend some recent results for regularized semigroups to strongly continuous n-times integrated C-cosine operator functions. Several equivalent conditions for the existence and uniqueness of solutions of (ACP 2 ) are also presented.

Isolated points of some sets of bounded cosine families, bounded semigroups, and bounded groups on a Banach space

Adam Bobrowski, Wojciech Chojnacki (2013)

Studia Mathematica

Similarity:

We show that if the set of all bounded strongly continuous cosine families on a Banach space X is treated as a metric space under the metric of the uniform convergence associated with the operator norm on the space 𝓛(X) of all bounded linear operators on X, then the isolated points of this set are precisely the scalar cosine families. By definition, a scalar cosine family is a cosine family whose members are all scalar multiples of the identity operator. We also show that if the sets...

On the uniform convergence of sine, cosine and double sine-cosine series

Krzysztof Duzinkiewicz (2016)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

Similarity:

In this paper we define new classes of sequences GM(β,r) and DGM(α,β,γ,r). Using these classes we generalize and extend the P. Kórus results concerning the uniform convergence of sine, cosine and double sine-cosine series, respectively.

C-Distribution semigroups

Marko Kostić (2008)

Studia Mathematica

Similarity:

A class of C-distribution semigroups unifying the class of (quasi-) distribution semigroups of Wang and Kunstmann (when C = I) is introduced. Relations between C-distribution semigroups and integrated C-semigroups are given. Dense C-distribution semigroups as well as weak solutions of the corresponding Cauchy problems are also considered.

Fubini-type theorems

Robert S. Strichartz (1968)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Similarity: