Results 21 to 30 of about 2,656,443 (77)
Monotonicity theorem for subharmonic functions on manifolds [PDF]
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
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]
There is substantiated the four-dimensional Goursat problem with non-classical conditions for a hyperbolic equation.
arxiv
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
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]
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]
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
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]
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]
The classical Vietoris cosine inequality is refined by establishing a positive polynomial lower bound.
arxiv