Results 11 to 20 of about 22,462 (245)

Delayformer: Spatiotemporal Transformation for Predicting High-Dimensional Dynamics. [PDF]

open access: yesAdv Sci (Weinh)
Delayformer introduces a multivariate spatiotemporal transformation (mvSTI) that converts observed variables into delay‐embedded states and cross‐learns their dynamics using a shared Vision Transformer encoder. This approach, grounded in dynamical systems theory, simultaneously predicts all variables in high‐dimensional systems, outperforming state‐of ...
Wang Z, Tao P, Chen L.
europepmc   +2 more sources

Accelerated water residual removal in MRS: Exploring deep learning versus fitting-based approaches. [PDF]

open access: yesMagn Reson Med
Abstract PurposeRemoving water residual signals from MRS spectra is crucial for accurate metabolite quantification. However, currently available algorithms are computationally intensive and time‐consuming, limiting their clinical applicability. This work aims to propose and validate two novel pipelines for fast water residual removal in MRS. MethodsTwo
Turco F, Slotboom J, Capiglioni M.
europepmc   +2 more sources

Matlab Code for the Discrete Hankel Transform

open access: yesJournal of Open Research Software, 2017
Previous definitions of a Discrete Hankel Transform (DHT) have focused on methods to approximate the continuous Hankel integral transform without regard for the properties of the DHT itself.
Natalie Baddour, Ugo Chouinard
doaj   +1 more source

Inversion of the Poisson-Hankel transform

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1982
The Poisson-Hankel transform is defined as an integral transform of the initial temperature function, with the kernel as the source solution of the generalized heat equation.
C. Nasim
doaj   +1 more source

Hankel Multipliers of Laplace Transform Type [PDF]

open access: yes, 2010
In this paper we prove that the Hankel multipliers of Laplace transform type on $(0,1)^n$ are of weak type (1,1). Also we analyze Lp-boundedness properties for the imaginary powers of Bessel operator on $(0,1)^n$.Comment: 32 ...
Betancor, J. J.   +2 more
core   +1 more source

The Fourier Transform on Quantum Euclidean Space [PDF]

open access: yes, 2010
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

Calderón's reproducing formula for Hankel convolution

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2006
Calderón-type reproducing formula for Hankel convolution is established using the theory of Hankel transform.
R. S. Pathak, Gireesh Pandey
doaj   +1 more source

General convolutions of integral transforms and their application to ode and PDE problems

open access: yesMathematical Modelling and Analysis, 2006
The present research is devoted to some polyconvolutions generated by various integral transforms. For example, we study convolutions of the Hankel transform with the following factorization properties: where Hv[f] (x) is the Hankel transform.
L. E. Britvina
doaj   +1 more source

Characterizations of Continuous Fractional Bessel Wavelet Transforms

open access: yesMathematics, 2022
In this paper, we present a systematic study of the various characteristics and properties of some continuous and discrete fractional Bessel wavelet transforms. The method is based upon the theory of the fractional Hankel transform.
Hari M. Srivastava   +2 more
doaj   +1 more source

On truncations of Hankel and Toeplitz operators [PDF]

open access: yes, 1999
We study the boundedness properties of truncation operators acting on bounded Hankel (or Toeplitz) infinite matrices. A relation with the Lacey-Thiele theorem on the bilinear Hilbert transform is established. We also study the behaviour of the truncation
Bonami, Aline, Bruna, Joaquim
core   +3 more sources

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