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Papers by Semyon Yakubovich

Research paper thumbnail of New inversion, convolution and Titchmarsh's theorems for the half-Hartley transform

arXiv (Cornell University), Jan 14, 2014

Research paper thumbnail of Polynomial problems of the Casas-Alvero type

arXiv (Cornell University), Aug 24, 2013

Research paper thumbnail of L 2-boundedness of the Gamma-product transform

Lithuanian Mathematical Journal, Apr 1, 2006

Research paper thumbnail of Multidimensional Kontorovich–Lebedev transforms

Integral Transforms and Special Functions, Feb 1, 2011

Different approaches are used to introduce a direct product Kontorovich–Lebedev transformation, i... more Different approaches are used to introduce a direct product Kontorovich–Lebedev transformation, its essentially multidimensional analogue and certain modifications in terms of multiple integrals over ℝ n +. Mapping properties are investigated. Inversion formulas are proved.

Research paper thumbnail of On a testing-function space for distributions associated with the Kontorovich-Lebedev transform

Collectanea Mathematica, Jan 13, 2006

Research paper thumbnail of The validity of the Casas- Alvero conjecture

arXiv (Cornell University), Apr 1, 2015

Research paper thumbnail of Index transforms associated with products of Whittaker's functions

Journal of Computational and Applied Mathematics, Nov 1, 2002

Research paper thumbnail of Index transforms associated with generalized hypergeometric functions

Mathematical Methods in The Applied Sciences, Dec 18, 2003

Research paper thumbnail of A Convolution Operator Related to the Generalized Mehler–Fock and Kontorovich–Lebedev Transforms

Results in Mathematics, Dec 13, 2011

Research paper thumbnail of On a progress in the Kontorovich–Lebedev transform theory and related integral operators

Integral Transforms and Special Functions, Jul 1, 2008

This survey represents mainly recent results of the author, which were obtained during the last d... more This survey represents mainly recent results of the author, which were obtained during the last decade and concern the theory of the Kontorovich–Lebedev transformation and some related integral operators of the convolution and non-convolution type. In particular, we discuss their boundedness in the Lebesgue, Hardy and Sobolev type spaces and in some spaces of distributions. Special attention is given to

Research paper thumbnail of Eigenfunctions and Fundamental Solutions of the Fractional Two-Parameter Laplacian

International Journal of Mathematics and Mathematical Sciences, 2010

Research paper thumbnail of Index transforms with Weber type kernels

arXiv (Cornell University), Nov 6, 2017

Research paper thumbnail of Product formulas and convolutions for Laplace–Beltrami operators on product spaces: beyond the trivial case

Mathematische Annalen, Sep 15, 2022

Research paper thumbnail of Towards the Casas- Alvero conjecture

arXiv (Cornell University), Apr 1, 2015

Research paper thumbnail of New inversion, convolution and Titchmarsh's theorems for the half-Hilbert transform

arXiv (Cornell University), Dec 6, 2013

Research paper thumbnail of On the Laguerre fractional integro-differentiation

arXiv (Cornell University), Mar 11, 2020

Research paper thumbnail of Discrete index transformations with Bessel and Lommel functions

The journal of analysis, Apr 16, 2021

Research paper thumbnail of Discrete Lebedev’s index transforms

Rendiconti Del Circolo Matematico Di Palermo, Jan 5, 2021

Research paper thumbnail of Discrete Fourier-Jacobi transform

Integral Transforms and Special Functions, Apr 28, 2021

Research paper thumbnail of On the Epstein zeta function and the Zeros of a Class of Dirichlet series

Journal of Mathematical Analysis and Applications, Jul 1, 2023

Research paper thumbnail of New inversion, convolution and Titchmarsh's theorems for the half-Hartley transform

arXiv (Cornell University), Jan 14, 2014

Research paper thumbnail of Polynomial problems of the Casas-Alvero type

arXiv (Cornell University), Aug 24, 2013

Research paper thumbnail of L 2-boundedness of the Gamma-product transform

Lithuanian Mathematical Journal, Apr 1, 2006

Research paper thumbnail of Multidimensional Kontorovich–Lebedev transforms

Integral Transforms and Special Functions, Feb 1, 2011

Different approaches are used to introduce a direct product Kontorovich–Lebedev transformation, i... more Different approaches are used to introduce a direct product Kontorovich–Lebedev transformation, its essentially multidimensional analogue and certain modifications in terms of multiple integrals over ℝ n +. Mapping properties are investigated. Inversion formulas are proved.

Research paper thumbnail of On a testing-function space for distributions associated with the Kontorovich-Lebedev transform

Collectanea Mathematica, Jan 13, 2006

Research paper thumbnail of The validity of the Casas- Alvero conjecture

arXiv (Cornell University), Apr 1, 2015

Research paper thumbnail of Index transforms associated with products of Whittaker's functions

Journal of Computational and Applied Mathematics, Nov 1, 2002

Research paper thumbnail of Index transforms associated with generalized hypergeometric functions

Mathematical Methods in The Applied Sciences, Dec 18, 2003

Research paper thumbnail of A Convolution Operator Related to the Generalized Mehler–Fock and Kontorovich–Lebedev Transforms

Results in Mathematics, Dec 13, 2011

Research paper thumbnail of On a progress in the Kontorovich–Lebedev transform theory and related integral operators

Integral Transforms and Special Functions, Jul 1, 2008

This survey represents mainly recent results of the author, which were obtained during the last d... more This survey represents mainly recent results of the author, which were obtained during the last decade and concern the theory of the Kontorovich–Lebedev transformation and some related integral operators of the convolution and non-convolution type. In particular, we discuss their boundedness in the Lebesgue, Hardy and Sobolev type spaces and in some spaces of distributions. Special attention is given to

Research paper thumbnail of Eigenfunctions and Fundamental Solutions of the Fractional Two-Parameter Laplacian

International Journal of Mathematics and Mathematical Sciences, 2010

Research paper thumbnail of Index transforms with Weber type kernels

arXiv (Cornell University), Nov 6, 2017

Research paper thumbnail of Product formulas and convolutions for Laplace–Beltrami operators on product spaces: beyond the trivial case

Mathematische Annalen, Sep 15, 2022

Research paper thumbnail of Towards the Casas- Alvero conjecture

arXiv (Cornell University), Apr 1, 2015

Research paper thumbnail of New inversion, convolution and Titchmarsh's theorems for the half-Hilbert transform

arXiv (Cornell University), Dec 6, 2013

Research paper thumbnail of On the Laguerre fractional integro-differentiation

arXiv (Cornell University), Mar 11, 2020

Research paper thumbnail of Discrete index transformations with Bessel and Lommel functions

The journal of analysis, Apr 16, 2021

Research paper thumbnail of Discrete Lebedev’s index transforms

Rendiconti Del Circolo Matematico Di Palermo, Jan 5, 2021

Research paper thumbnail of Discrete Fourier-Jacobi transform

Integral Transforms and Special Functions, Apr 28, 2021

Research paper thumbnail of On the Epstein zeta function and the Zeros of a Class of Dirichlet series

Journal of Mathematical Analysis and Applications, Jul 1, 2023

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