Hankel Transformation and Hankel Convolution of Tempered Beurling Distributions [PDF]
Rocky Mountain Journal of Mathematics, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Belhadj, M., Betancor, J.J.
openaire +4 more sources
Fractal and FractionalThis paper explores the extension of classical transforms to fractal spaces, focusing on the development and application of the Fractal Hankel Transform. We begin with a concise review of fractal calculus to set the theoretical groundwork.
Alireza Khalili Golmankhaneh +3 more
doaj +2 more sources
Linear systems and determinantal random point fields. [PDF]
, 2009 Tracy and Widom showed that fundamentally important kernels in random matrix theory arise from systems of differential equations with rational coefficient.
Blower, Gordon
core +5 more sources
Linearizing and Forecasting: A Reservoir Computing Route to Digital Twins of the Brain. [PDF]
Adv Sci (Weinh)A new approach uses simple neural networks to create digital twins of brain activity, capturing how different patterns unfold over time. The method generates and recovers key dynamics even from noisy data. When applied to fMRI, it predicts brain signals and reveals distinctive activity patterns across regions and individuals, opening possibilities for ...
Di Antonio G +3 more
europepmc +2 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 +5 more sources
Hankel operators that commute with second order differential operators. [PDF]
, 2008 Suppose that $\Gamma$ is a continuous and self-adjoint Hankel operator on $L^2(0, \infty )$ with kernel $\phi (x+y)$ and that $Lf=-(d/dx)(a(x)df/dx)+b(x)f(x) with $a(0)=0$.
Blower, Gordon
core +5 more sources
A sufficient condition for the boundedness of operator-weighted martingale transforms and Hilbert transform [PDF]
, 2007 Let W be an operator weight taking values almost everywhere in the bounded positive invertible linear operators on a separable Hilbert space H. We show that if W and its inverse W−1 both satisfy a matrix reverse Holder property introduced in [2], then ...
Pott, S.
core +1 more source
Development and implementation of a unified curriculum in math, statistics, computing, and informatics with financial considerations for medical physics graduate programs. [PDF]
J Appl Clin Med PhysAbstract Background AAPM Report No. 365 recommends that medical physics graduate programs offer courses covering both mathematical and statistical methods (Section 3.1.7) as well as computational methods and medical informatics (Section 3.1.8). While our program seeks to incorporate both of these essential areas into the curriculum, various financial ...
Chang J, Vaccarelli MJ.
europepmc +2 more sources
Structural-Missing Tensor Completion for Robust DOA Estimation with Sensor Failure
Applied Sciences, 2023 Array sensor failure poses a serious challenge to robust direction-of-arrival (DOA) estimation in complicated environments. Although existing matrix completion methods can successfully recover the damaged signals of an impaired sensor array, they cannot ...
Bin Li +4 more
doaj +1 more source
The Hankel transform of causal distributions
Revista de Matemática: Teoría y Aplicaciones, 2012 In this note we evaluate the unidimensional distributional Hankel transform of \dfrac{x^{\alpha-1}_{+}}{\Gamma^{\alpha}},\dfrac{x^{\alpha-1}_{-}}{\Gamma^{\alpha}},dfrac{|x|^{\alpha-1}}{\Gamma^{\frac{\alpha}{2}}},dfrac{|x|^{\alpha-1}sgn(x)}{\Gamma^{\frac{\
Manuel A. Aguirre T.
doaj +1 more source