Homomorphisms of EL-hyperstructures on a certain clasical transformation.

Homomorphisms of EL-hyperstructures on a certain clasical transformation.

Paper in proceedings (conference paper)

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.

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.

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

CHVALINA, J.; KŘEHLÍK, Š.; NOVÁK, M.

10.09.2014

Xanthi

978-80-558-0613-6

12th AHA Conference

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60

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