Results 41 to 50 of about 2,656,443 (77)
Bead sliding and convex inequalities [PDF]
We analyze a bead sliding game and relate it to some classical convex inequalities.
arxiv
Symmetrization process and truncated orthogonal polynomials
We define the family of truncated Laguerre polynomials $P_n(x;z)$, orthogonal with respect to the linear functional $\ell$ defined by $$\langle{\ell,p\rangle}=\int_{0}^zp(x)x^\alpha e^{-x}dx,\qquad\alpha>-1.$$ The connection between $P_n(x;z)$ and the ...
Dominici, Diego+2 more
core
A Generalization of Fourier Series occurring in Atomic Theory [PDF]
A number of the Fourier Series which occur in the theory of the semi-classical atom due to Englert and Schwinger are generalized and presented.
arxiv
Some remarks concerning potentials on different spaces [PDF]
The "potentials" being considered are analogues of classical Riesz potentials of order 1, and the idea is to look at how they might map L^p spaces into Sobolev spaces in various settings.
arxiv
A Bernstein type inequality [PDF]
We formulate and discuss a conjecture which would extend a classical inequality of Bernstein.
arxiv
On Beurling's sampling theorem in $\R^n$ [PDF]
We present an elementary proof of the classical Beurling sampling theorem which gives a sufficient condition for sampling of multi-dimensional band-limited functions.
arxiv
Elements of harmonic analysis [PDF]
These informal notes briefly discuss some basic topics in harmonic analysis along the lines of convolutions and Fourier transforms.
arxiv
Painlevé equations for semi-classical recurrence coefficients [PDF]
The title says it all.
arxiv
Note on the Dirichlet Approximation Theorem [PDF]
We survey the classical results of the Dirichlet Approximation Theorem.
arxiv
Explicit Inversions of Certain Matrices I [PDF]
In this note, we demonstrate a method to invert some Hankel matrices explicitly by using the kernel polynomials for the related classical orthogonal polynomials.
arxiv