Publication detail

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

CHVALINA, J. NOVÁK, M.

Original Title

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

English Title

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

Type

conference paper

Language

en

Original 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.

English 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.

Released

01.01.2006

Publisher

UNOB

Location

Brno

ISBN

80-7231-139-5

Book

XXIV International Colloquium on the Acquisition Process Management

Pages from

1

Pages to

9

Pages count

9

Documents

BibTex


@inproceedings{BUT19264,
  author="Jan {Chvalina} and Michal {Novák}",
  title="Laplace-type transformation of a centralizer semihypergroup of Volterra integral operators with translation kernel",
  annote="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.",
  address="UNOB",
  booktitle="XXIV International Colloquium on the Acquisition Process Management",
  chapter="19264",
  institution="UNOB",
  year="2006",
  month="january",
  pages="1",
  publisher="UNOB",
  type="conference paper"
}