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Laplace-type transformation of a centralizer semihypergroup of Volterra integral operators with translation kernel

CHVALINA, J.; NOVÁK, M. Laplace-type transformation of a centralizer semihypergroup of Volterra integral operators with translation kernel. In XXIV International Colloquium on the Acquisition Process Management. Brno: UNOB, 2006. 9 p. ISBN: 80-7231-139-5.
Type
conference paper
Language
English
Authors
Chvalina Jan, prof. RNDr., DrSc., UMAT (FEEC)
Novák Michal, doc. RNDr., Ph.D., UMAT (FEEC)
Abstract

In this contribution we build on a very classical Laplace transform, by the use of which we construct embedding of a certain semihypergroup of Volterra integral operators with translation kernel into the hypergroup of complex transformations. This is made possible thanks to the property of Laplace transform which maps a convolution of original functions into a product of their transforms. Thus in this contribution we present a certain link between hyperstructures of the above mentioned special kind and a corresponding hyperstructure (hypergroup) of certain transformations defined in the complex plane.

Published
2006
Pages
9
Proceedings
XXIV International Colloquium on the Acquisition Process Management
Conference
XXIV. International Colloquium on the Acquisition Process management
ISBN
80-7231-139-5
Publisher
UNOB
Place
Brno
BibTeX 
@inproceedings{BUT19264,
  author="Jan {Chvalina} and Michal {Novák}",
  title="Laplace-type transformation of a centralizer semihypergroup of Volterra integral operators with translation kernel",
  booktitle="XXIV International Colloquium on the Acquisition Process Management",
  year="2006",
  pages="9",
  publisher="UNOB",
  address="Brno",
  isbn="80-7231-139-5"
}
Departments
Department of Mathematics (UMAT)
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