Detail publikačního výsledku

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

CHVALINA, J.; NOVÁK, M.

Originální název

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

Anglický název

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

Druh

Stať ve sborníku v databázi WoS či Scopus

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova v angličtině

hyperstructures, integral operators

Autoři

CHVALINA, J.; NOVÁK, M.

Vydáno

01.01.2006

Nakladatel

UNOB

Místo

Brno

ISBN

80-7231-139-5

Kniha

XXIV International Colloquium on the Acquisition Process Management

Strany od

1

Strany počet

9

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"
}