Results 1 to 10 of about 116 (41)
On functional reproducing kernels
Open 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
Advanced 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
Existence of Pseudo Almost Periodic Solutions to Some Classes of Partial Hyperbolic Evolution Equations [PDF]
, 2006 The paper examines the existence of pseudo almost periodic solutions to some classes of partial hyperbolic evolution equations. Namely, sufficient conditions for the existence and uniqueness of pseudo almost periodic solutions to those classes of ...
Diagana, Toka
core +4 more sources
Generalized Convolution Roots of Positive Definite Kernels on Complex Spheres [PDF]
, 2015 Convolution is an important tool in the construction of positive definite kernels on a manifold. This contribution provides conditions on an $L^2$-positive definite and zonal kernel on the unit sphere of $\mathbb{C}^q$ in order that the kernel can be ...
Barbosa, Victor S., Menegatto, Valdir A.
core +2 more sources
Convolutions with the continuous primitive integral [PDF]
, 2009 If $F$ is a continuous function on the real line and $f=F'$ is its distributional derivative then the continuous primitive integral of distribution $f$ is $\int_a^bf=F(b)-F(a)$.
Talvila, Erik
core +3 more sources
Growth rate for beta-expansions [PDF]
, 2009 Let $\beta>1$ and let $m>\be$ be an integer. Each $x\in I_\be:=[0,\frac{m-1}{\beta-1}]$ can be represented in the form \[ x=\sum_{k=1}^\infty \epsilon_k\beta^{-k}, \] where $\epsilon_k\in\{0,1,...,m-1\}$ for all $k$ (a $\beta$-expansion of $x$).
Feng, De-Jun, Sidorov, Nikita
core +4 more sources
The q-deformed convolutions: examples and applications to moment problem
, 2010 The paper provides examples of the q -convolution and the (p,q) -convolution, which put some light on how complicated these operations are. They show that the q -convolution of two Dirac delta’s need not be compactly supported and that the (1,1 ...
A. Kula
semanticscholar +1 more source
New convolutions associated with the Mellin transform and their applications in integral equations [PDF]
, 2020 In this paper, we introduce two new convolutions associated with the Mellin transform which exhibit factorization properties upon the use of certain weight functions. This is applied to the solvability analysis of classes of integral equations.
Castro, L. P., Silva, A. S., Tuan, N. M.
core +1 more source
Weighted Fourier Frames on Self-Affine Measures [PDF]
, 2017 Continuing the ideas from our previous paper, we construct Parseval frames of weighted exponential functions for self-affine ...
Dutkay, Dorin Ervin, Ranasinghe, Rajitha
core +1 more source