Results 1 to 10 of about 29 (29)

On functional reproducing kernels

open access: yesOpen Mathematics, 2023
We show that even if a Hilbert space does not admit a reproducing kernel, there could still be a kernel function that realizes the Riesz representation map.
Zhou Weiqi
doaj   +1 more source

Nonlocal Differential Equations with Convolution Coefficients and Applications to Fractional Calculus

open access: yesAdvanced Nonlinear Studies, 2021
The existence of at least one positive solution to a large class of both integer- and fractional-order nonlocal differential equations, of which one model case ...
Goodrich Christopher S.
doaj   +1 more source

A topological analysis of p(x)-harmonic functionals in one-dimensional nonlocal elliptic equations

open access: yesAdvanced Nonlinear Studies
We consider a class of one-dimensional elliptic equations possessing a p(x)-harmonic functional as a nonlocal coefficient.
Goodrich Christopher S.
doaj   +1 more source

On the approximation by convolution operators in homogeneous Banach spaces on R^d [PDF]

open access: yes, 2014
AMS Subject Classification 2010: 41A25, 41A35, 41A40, 41A63, 41A65, 42A38, 42A85, 42B10, 42B20The paper presents a description of the optimal rate of approximation as well as of a broad class of functions that possess it for convolution operators acting ...
Draganov, Borislav
core  

A surprising property of nonlocal operators: the deregularising effect of nonlocal elements in convolution differential equations

open access: yesAdvanced Nonlinear Studies
We consider nonlocal differential equations with convolution coefficients of the form−M(a*|u|q)(1)μ(t)u″(t)=λft,u(t), t∈(0,1), $$-M\left(\left(a {\ast} \vert u{\vert }^{q}\right)\left(1\right)\mu \left(t\right)\right){u}^{{\prime\prime}}\left(t\right ...
Goodrich Christopher S.
doaj   +1 more source

Fast and accurate pricing of barrier options under Lévy processes

open access: yes
Lévy processes, Barrier options, Wiener–Hopf factorization, Numerical methods, 60-08, 60J75, 47A68, 42A85, 91B28, G10, G12, G13, C63,
Oleg Kudryavtsev, Sergei Levendorskiǐ
core   +1 more source

On the Approximation by Convolution Operators in Homogeneous Banach Spaces of Periodic Functions

open access: yes, 2011
AMS Subject Classification 2010: 41A25, 41A27, 41A35, 41A36, 41A40, 42Al6, 42A85.The paper is concerned with establishing direct estimates for convolution operators on homogeneous Banach spaces of periodic functions by means of appropriately defined ...
Draganov, Borislav R.
core  
Some of the next articles are maybe not open access.

Lp estimates for multilinear convolution operators defined with spherical measure

Bulletin of the London Mathematical Society, 2021
Saurabh Shrivastava, Kalachand Shuin
exaly  

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