Results 41 to 50 of about 2,040,052 (266)
The Fourier Transform on Quantum Euclidean Space [PDF]
We study Fourier theory on quantum Euclidean space. A modified version of the general definition of the Fourier transform on a quantum space is used and its inverse is constructed.
Coulembier, Kevin
core +5 more sources
Hankel Transform of (q,r)-Dowling Numbers
In this paper, we establish certain combinatorial interpretation for $q$-analogue of $r$-Whitney numbers of the second kind defined by Corcino and Ca\~{n}ete in the context of $A$-tableaux.
R. Corcino+2 more
semanticscholar +1 more source
Potential operators associated with Hankel and Hankel-Dunkl transforms [PDF]
We study Riesz and Bessel potentials in the settings of Hankel transform, modified Hankel transform and Hankel-Dunkl transform. We prove sharp or qualitatively sharp pointwise estimates of the corresponding potential kernels. Then we characterize those $1\le p,q \le \infty$, for which the potential operators satisfy $L^p-L^q$ estimates.
Adam Nowak, Krzysztof Stempak
openaire +3 more sources
Hankel Determinants of Non-Zero Modulus Dixon Elliptic Functions via Quasi C Fractions
The Sumudu transform of the Dixon elliptic function with non-zero modulus α ≠ 0 for arbitrary powers N is given by the product of quasi C fractions.
Rathinavel Silambarasan+1 more
doaj +1 more source
Strong annihilating pairs for the Fourier-Bessel transform [PDF]
The aim of this paper is to prove two new uncertainty principles for the Fourier-Bessel transform (or Hankel transform). The first of these results is an extension of a result of Amrein-Berthier-Benedicks, it states that a non zero function $f$ and its ...
Amrein+18 more
core +6 more sources
Hankel Transform of the Second Form (q,r)-Dowling Numbers
In this paper, using the rational generating for the second form of the q-analogue of r-Whitney numbers of the second kind, certain divisibility property for this form is established.
R. Corcino, Jay M. Ontolan, G. J. Rama
semanticscholar +1 more source
Bootstrapping Weighted Inequalities for Hankel Transform
A method of producing new inequalities for Hankel transform from known ones is given using the theory of positive integral operators. The new inequalities produced depend on six parameters, two real indices, two complex-valued measures, and two positive ...
M. Dziri
doaj +1 more source
On the Range of the Hankel and Extended Hankel Transforms
AbstractThe range of the Hankel and extended Hankel transforms on some spaces of functions is described. The Paley–Wiener theorem for the Hankel transform is also obtained.
openaire +2 more sources
Performance Triggered Adaptive Model Reduction for Soil Moisture Estimation in Precision Irrigation
ABSTRACT Accurate soil moisture information is essential for precise irrigation to enhance water use efficiency. Estimating soil moisture based on limited soil moisture sensors is especially critical for obtaining comprehensive soil moisture information when dealing with large‐scale agricultural fields.
Sarupa Debnath+4 more
wiley +1 more source
Hankel operators on Fock spaces and related Bergman kernel estimates
Hankel operators with anti-holomorphic symbols are studied for a large class of weighted Fock spaces on $\cn$. The weights defining these Hilbert spaces are radial and subject to a mild smoothness condition.
Seip, Kristian, Youssfi, El Hassan
core +1 more source