Result Details
Homomorphisms of EL-hyperstructures on a certain clasical transformation.
Křehlík Štěpán, RNDr., Ph.D., UMAT (FEEC)
Novák Michal, doc. RNDr., Ph.D., UMAT (FEEC)
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.
Volterra integral equation and operator, Laplace transformation , generalized affine complex transformations, homomorphisms of EL-hyperstructures.
@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"
}