Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Ahmed Abouelaz"'
Publikováno v:
International Journal of Mathematical Modelling & Computations, Vol 6, Iss 1 (WINTER), Pp 29-35 (2016)
n this article, we prove An Lp-Lq-version of Morgan’s theorem for the generalized Bessel transform.
Externí odkaz:
https://doaj.org/article/cd9a536defb945a691231cb96ad12975
Publikováno v:
International Journal of Analysis and Applications, Vol 10, Iss 1, Pp 17-23 (2016)
In this article, we give a new harmonic analysis associated with the generalized q-Bessel operator. We introduce the generalized $q$-Bessel transform, the generalized q-Bessel translation and the generalized $q$-Bessel convolution product.
Externí odkaz:
https://doaj.org/article/1a1da883ac944f3f8d4951e4ac620868
Publikováno v:
International Journal of Analysis and Applications, Vol 9, Iss 1, Pp 19-28 (2015)
In this paper we consider a generalized Weinstein operator ∆d,α,n on Rd−1×]0,∞[, which generalizes the Weinstein operator ∆d,α, we define the generalized Weinstein intertwining operator Rα,n which turn out to be transmutation operator bet
Externí odkaz:
https://doaj.org/article/6275a72587db437091d93a0a1853523c
Publikováno v:
Journal of Mathematics, Vol 2015 (2015)
We characterize the image of exponential type functions under the discrete Radon transform R on the lattice Zn of the Euclidean space Rn n≥2. We also establish the generalization of Volberg's uncertainty principle on Zn, which is proved by means of
Externí odkaz:
https://doaj.org/article/5be232b057a749dbb2055629f1034091
Publikováno v:
Kragujevac Journal of Mathematics. 45:465-476
In this paper we consider the Sturm-Liouville transform ℱ(f) on ℝ+. We analyze the concentration of this transform on sets of finite measure. In particular, Donoho-Stark and Benedicks-type uncertainty principles are given.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::24a24e45b416e9af4699cb6960fe63a6
https://doi.org/10.46793/kgjmat2103.465a
https://doi.org/10.46793/kgjmat2103.465a
Publikováno v:
Boletín de la Sociedad Matemática Mexicana. 26:587-597
The (right-sided) quaternion Fourier transform satisfies some uncertainty principles in a similar way to the Euclidean Fourier transform. Donoho–Stark’s uncertainty principle is obtained for the quaternion Fourier transform.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0dfea2dd4b1001f97e78018ee7f18efd
https://doi.org/10.1007/s40590-019-00251-5
https://doi.org/10.1007/s40590-019-00251-5
Publikováno v:
Boletín de la Sociedad Matemática Mexicana. 25:375-383
The Weinstein transform satisfies some uncertainty principles in a similar way to the Euclidean Fourier transform. Donoho–Stark’s uncertainty principle is obtained for the Weinstein transform.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::eb6512466622033910c8766862c6dac1
https://doi.org/10.1007/s40590-018-0197-7
https://doi.org/10.1007/s40590-018-0197-7
Publikováno v:
Advances in Applied Clifford Algebras. 29
The (right-sided) Quaternion Linear Canonical transform (QLCT) satisfies some uncertainty principles in a similar way to the Euclidean Fourier transform. The aim of this paper is to prove a quantitative uncertainty inequality about the essential supp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6b9eee9f9f57400f92b36e280ff6b4a3
https://doi.org/10.1007/s00006-019-1020-x
https://doi.org/10.1007/s00006-019-1020-x
Autor:
Radouan Daher, Ahmed Abouelaz
Publikováno v:
Proceedings of Indian National Science Academy, Vol 46, Iss 1 (2015)
In this paper, we construct an holomorphic extension of certain functions on ℤ n . We deduce a discrete Gutzmer’s formula for the discrete Fourier transform (see Theorem 4.4). In addition, we prove the Hardy-Littlewood inequality for the classica
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4ca04858b05db8c94aec82ac3f63feb9
https://doi.org/10.1007/s13226-015-0105-z
https://doi.org/10.1007/s13226-015-0105-z