Result Details

Homomorphisms of EL-hyperstructures on a certain clasical transformation.

CHVALINA, J.; KŘEHLÍK, Š.; NOVÁK, M. Homomorphisms of EL-hyperstructures on a certain clasical transformation. In 12th AHA Conference. Xanthi: 2014. p. 55-60. ISBN: 978-80-558-0613-6.
Type
conference paper
Language
English
Authors
Chvalina Jan, prof. RNDr., DrSc., UMAT (FEEC)
Křehlík Štěpán, RNDr., Ph.D., UMAT (FEEC)
Novák Michal, doc. RNDr., Ph.D., UMAT (FEEC)
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.

Published
2014
Pages
55–60
Proceedings
12th AHA Conference
Conference
12th AHA Conference
ISBN
978-80-558-0613-6
Place
Xanthi
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"
}
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