Publication detail

Homomorphisms of EL-hyperstructures on a certain clasical transformation.

CHVALINA, J. KŘEHLÍK, Š. NOVÁK, M.

Original Title

Homomorphisms of EL-hyperstructures on a certain clasical transformation.

English Title

Homomorphisms of EL-hyperstructures on a certain clasical transformation.

Type

conference paper

Language

en

Original Abstract

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.

English abstract

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.

Keywords

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

RIV year

2014

Released

10.09.2014

Location

Xanthi

ISBN

978-80-558-0613-6

Book

12th AHA Conference

Pages from

55

Pages to

60

Pages count

6

Documents

BibTex


@inproceedings{BUT111427,
  author="Jan {Chvalina} and Štěpán {Křehlík} and Michal {Novák}",
  title="Homomorphisms of EL-hyperstructures on a certain clasical transformation.",
  annote="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.",
  booktitle="12th AHA Conference",
  chapter="111427",
  howpublished="print",
  year="2014",
  month="september",
  pages="55--60",
  type="conference paper"
}