Results 21 to 30 of about 2,656,443 (77)

Monotonicity theorem for subharmonic functions on manifolds [PDF]

open access: yes, 2022
We provide a sharp monotonicity theorem about the distribution of subharmonic functions on manifolds, which can be regarded as a new, measure theoretic form of the uncertainty principle.
Kulikov, Aleksei   +3 more
core  

On the differential equations of frozen Calogero-Moser-Sutherland particle models

open access: yes, 2023
Multivariate Bessel and Jacobi processes describe Calogero-Moser-Sutherland particle models. They depend on a parameter $k$ and are related to time-dependent classical random matrix models like Dysom Brownian motions, where $k$ has the interpretation of ...
Voit, Michael
core  

On four-dimensional Goursat problem in the non-classical treatment for a hyperbolic equation [PDF]

open access: yesarXiv, 2013
There is substantiated the four-dimensional Goursat problem with non-classical conditions for a hyperbolic equation.
arxiv  

symODE2: Symbolic analysis of second-order ordinary differential equations with polynomial coefficients

open access: yes, 2020
An open-source package for symbolic analysis of second-order ordinary differential equations with polynomial coefficients is proposed. The approach is mainly based on the singularity structure of the equation and the routines are written under the open ...
Birkandan, Tolga
core  

A potential system with infinitely many critical periods

open access: yes, 2023
In this paper, we propose an analytical non-polynomial potential system which has infinitely many critical periodic orbits in phase plane. By showing the existence of infinitely many $2\pi-$ periodic solutions, the proof bases on variational methods and ...
Wang, Jihua
core  

Notes on commutative algebra and harmonic analysis [PDF]

open access: yesarXiv, 2004
Fourier series with absolutely summable coefficients provide a classical example of a commutative Banach algebra, and these notes are concerned with this and related matters.
arxiv  

A Note on the Convolution of Circle Impulses [PDF]

open access: yesarXiv, 2021
We present a formula for the convolution $\delta_{C_1}*\delta_{C_2}$ of two circle impulses. The derivation uses a classical addition theorem for Bessel functions.
arxiv  

The recurrence coefficients of semi-classical Laguerre polynomials and the fourth Painlev\'e equation

open access: yes, 2011
We show that the coefficients of the three-term recurrence relation for orthogonal polynomials with respect to a semi-classical extension of the Laguerre weight satisfy the fourth Painlev\'e equation when viewed as functions of one of the parameters in ...
Basor E   +20 more
core   +1 more source

Some notes about matrices, 3 [PDF]

open access: yesarXiv, 2003
Here we briefly describe some topics along the lines of projective spaces and related geometric constructions connected to linear algebra, which provide fundamental examples in classical geometry and analysis.
arxiv  

A Refinement of Vietoris Inequality for Cosine Polynomials [PDF]

open access: yesarXiv, 2015
The classical Vietoris cosine inequality is refined by establishing a positive polynomial lower bound.
arxiv  

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