Results 11 to 20 of about 497,921 (244)
Causal (anticausal) Bessel derivative and the ultrahyperbolic Bessel operator [PDF]
Le Matematiche, 1997 Let B^α_C and B^α_A be ultrahyperbolic Bessel operator causal (anticausal) of the order α defined by B^α_C f = G_α ( P + i0, m, n) ∗ f , B^α f = G_α ( P −i0, m, n) ∗ f and let D^α_C and D^α_A be generalized causal (anticausal) Bessel derivative of order ...
Manuel Aguirre Téllez +1 more
doaj +3 more sources
On fractional powers of the Bessel operator on semiaxis
Sibirskie Elektronnye Matematicheskie Izvestiya, 2020 In this paper we study fractional powers of the Bessel differential operator defined on a semiaxis. Some important properties of such fractional powers of the Bessel differential operator are proved.
Sitnik S.M., Shishkina E.L.
core +7 more sources
The Bessel-Struve intertwining operator on ℂ and mean-periodic functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2004 We give a description of all transmutation operators from the Bessel-Struve operator to the second-derivative operator. Next we define and characterize the mean-periodic functions on the space ℋ of entire functions and we characterize the continuous ...
A. Gasmi, M. Sifi
doaj +2 more sources
Harmonic Analysis Associated with the Generalized q-Bessel Operator [PDF]
International Journal of Analysis and Applications, 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.
Ahmed Abouelaz +2 more
doaj +3 more sources
Bessel Transform of -Bessel Lipschitz Functions [PDF]
Journal of Mathematics, 2013 Using a generalized translation operator, we obtain an analog of Theorem 5.2 in Younis (1986) for the Bessel transform for functions satisfying the -Bessel Lipschitz condition in .
Radouan Daher, Mohamed El Hamma
doaj +2 more sources
A fractional q-integral operator associated with a certain class of q-Bessel functions and q-generating series [PDF]
Advances in Difference Equations, 2021 This paper deals with Al-Salam fractional q-integral operator and its application to certain q-analogues of Bessel functions and power series. Al-Salam fractional q-integral operator has been applied to various types of q-Bessel functions and some power ...
Shrideh Al-Omari +2 more
doaj +2 more sources
Proceedings Mathematical Sciences, 2004 In this article, the operator lozenge(B)(k) is introduced and named as the Bessel diamond operator iterated k times and is defined by lozenge(B)(k) = [(B-x1 + B-x2 + ... + B-xp)(2) - (Bxp+1 + ... + Bxp+q)(2)](k). where p + q = n.
Sarikaya, MZ, Yildirim, H, Öztürk, S
core +4 more sources
Spatiotemporal Computational Meta-Imager for Broadband Dual-Layer Optical Convolution. [PDF]
Adv Sci (Weinh)A single‐layer polarization‐multiplexed meta‐imager achieves factorized dual‐layer broadband convolution via spatiotemporal kernel decomposition. Fixed Bessel‐vortex bases and time‐sequential liquid‐crystal modulation deliver tunable signed weights and in‐situ fabrication‐error compensation. Experiments verify improved classification performance across
Wang M +6 more
europepmc +2 more sources
On the Domains of Bessel Operators [PDF]
Annales Henri Poincaré, 2021 AbstractWe consider the Schrödinger operator on the halfline with the potential$$(m^2-\frac{1}{4})\frac{1}{x^2}$$(m2-14)1x2, often called the Bessel operator. We assume thatmis complex. We study the domains of various closed homogeneous realizations of the Bessel operator. In particular, we prove that the domain of its minimal realization for$$|\mathrm{
Jan Dereziński, Vladimir Georgescu
openaire +3 more sources
Integrable operators and squares of Hankel operators. [PDF]
, 2008 Integrable operators arise in random matrix teory, where they describe the asymptotic distributions of large self-adjoint random matrices from the generalized unitary ensembles.
Blower, Gordon
core +4 more sources