Detail publikačního výsledku

Homomorphisms of EL-hyperstructures on a certain clasical transformation.

CHVALINA, J.; KŘEHLÍK, Š.; NOVÁK, M.

Originální název

Homomorphisms of EL-hyperstructures on a certain clasical transformation.

Anglický název

Homomorphisms of EL-hyperstructures on a certain clasical transformation.

Druh

Stať ve sborníku v databázi WoS či Scopus

Originální abstrakt

Classical transformations as Laplace, Carson-Laplace, Fourier and others are important mathematical tools with numerous useful applications. One of basic properties of the Laplace transform apart of its linearity is the fact that maps a convolution of original functions into a product of their images. This enables us to construct the embedding of certain semihypergroups of Volterra integral operators with a translation kernel (i.e. convolution integrals) into hypergroups of generalized affine complex transformations. In the contribution these ideas are extended by some new results based on EL-hyperstructures, i.e. on hyperstructures created using the so called Ends-Lemma and using their homomorphisms.

Anglický abstrakt

Classical transformations as Laplace, Carson-Laplace, Fourier and others are important mathematical tools with numerous useful applications. One of basic properties of the Laplace transform apart of its linearity is the fact that maps a convolution of original functions into a product of their images. This enables us to construct the embedding of certain semihypergroups of Volterra integral operators with a translation kernel (i.e. convolution integrals) into hypergroups of generalized affine complex transformations. In the contribution these ideas are extended by some new results based on EL-hyperstructures, i.e. on hyperstructures created using the so called Ends-Lemma and using their homomorphisms.

Klíčová slova

Volterra integral equation and operator, Laplace transformation , generalized affine complex transformations, homomorphisms of EL-hyperstructures.

Klíčová slova v angličtině

Volterra integral equation and operator, Laplace transformation , generalized affine complex transformations, homomorphisms of EL-hyperstructures.

Autoři

CHVALINA, J.; KŘEHLÍK, Š.; NOVÁK, M.

Vydáno

10.09.2014

Místo

Xanthi

ISBN

978-80-558-0613-6

Kniha

12th AHA Conference

Strany od

55

Strany do

60

Strany počet

6

Plný text v Digitální knihovně

http://hdl.handle.net/

BibTex

@inproceedings{BUT111427,
  author="Jan {Chvalina} and Štěpán {Křehlík} and Michal {Novák}",
  title="Homomorphisms of EL-hyperstructures on a certain clasical transformation.",
  booktitle="12th AHA Conference",
  year="2014",
  pages="55--60",
  address="Xanthi",
  isbn="978-80-558-0613-6"
}