Results 31 to 40 of about 516,084 (257)

The Fourier transform and convolutions generated by a differential operator with boundary condition on a segment

open access: yes, 2013
We introduce the concepts of the Fourier transform and convolution generated by an arbitrary restriction of the differentiation operator in the space $L_{2}(0,b).$ In contrast to the classical convolution, the introduced convolution explicitly depends on
Kanguzhin, Baltabek   +1 more
core   +1 more source

Smoothness of convolution products of orbital measures on rank one compact symmetric spaces

open access: yes, 2015
We prove that all convolution products of pairs of continuous orbital measures in rank one, compact symmetric spaces are absolutely continuous and determine which convolution products are in $L^{2}$ (meaning, their density function is in $L^{2 ...
Hare, Kathryn, He, Jimmy
core   +1 more source

Convolutions, integral transforms and integral equations by means of the theory of reproducing kernels [PDF]

open access: yesOpuscula Mathematica, 2012
This paper introduces a general concept of convolutions by means of the theory of reproducing kernels which turns out to be useful for several concrete examples and applications.
Luis P. Castro   +2 more
doaj   +1 more source

Teaching the concept of convolution and correlation using Fourier transform

open access: yes, 2018
Convolution operation is indispensable in studying analog optical and digital signal processing. Equally important is the correlation operation. The time domain community often teaches convolution and correlation only with one dimensional time signals ...
Goodman, Smith
core   +1 more source

Convolution algebras and the deformation theory of infinity-morphisms

open access: yes, 2018
Given a coalgebra C over a cooperad, and an algebra A over an operad, it is often possible to define a natural homotopy Lie algebra structure on hom(C,A), the space of linear maps between them, called the convolution algebra of C and A.
Robert-Nicoud, Daniel, Wierstra, Felix
core   +2 more sources

A Cre‐dependent lentiviral vector for neuron subtype‐specific expression of large proteins

open access: yesFEBS Letters, EarlyView.
We designed a versatile and modular lentivector comprising a Cre‐dependent switch and self‐cleaving 2A peptide and tested it for co‐expression of GFP and a 2.8 kb gene of interest (GOI) in mouse cortical parvalbumin (PV+) interneurons and midbrain dopamine (TH+) neurons.
Weixuan Xue   +6 more
wiley   +1 more source

Convolution, Separation and Concurrency [PDF]

open access: yes, 2014
A notion of convolution is presented in the context of formal power series together with lifting constructions characterising algebras of such series, which usually are quantales. A number of examples underpin the universality of these constructions, the
Dongol, Brijesh   +2 more
core  

An upstream open reading frame regulates expression of the mitochondrial protein Slm35 and mitophagy flux

open access: yesFEBS Letters, EarlyView.
This study reveals how the mitochondrial protein Slm35 is regulated in Saccharomyces cerevisiae. The authors identify stress‐responsive DNA elements and two upstream open reading frames (uORFs) in the 5′ untranslated region of SLM35. One uORF restricts translation, and its mutation increases Slm35 protein levels and mitophagy.
Hernán Romo‐Casanueva   +5 more
wiley   +1 more source

3D Convolution Conjugate Gradient Inversion of Potential Fields in Acoculco Geothermal Prospect, Mexico

open access: yesFrontiers in Earth Science, 2022
Potential field data have long been used in geophysical exploration for archeological, mineral, and reservoir targets. For all these targets, the increased search of highly detailed three-dimensional subsurface volumes has also promoted the recollection ...
José P. Calderón, Luis A. Gallardo
doaj   +1 more source

On the product formula and convolution associated with the index Whittaker transform

open access: yes, 2019
We deduce a product formula for the Whittaker $W$ function whose kernel does not depend on the second parameter. Making use of this formula, we define the positivity-preserving convolution operator associated with the index Whittaker transform, which is ...
Guerra, Manuel   +2 more
core   +1 more source

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