搜索结果: 1-6 共查到“数理逻辑与数学基础 integrals”相关记录6条 . 查询时间(0.019 秒)
On Lusin's area integrals and g-functions in certain Dunkl and Laguerre settings
On Lusin's area integrals g-functions Laguerre settings
2010/11/9
We investigate $g$-functions and Lusin's area type integrals related to certain multi-dimensional Dunkl and Laguerre settings. We prove that the considered square functions are bounded on weighted $L^...
A conjecture on Iterated Integrals and application to higher order invariants
Iterated Integrals order invariants
2010/11/19
We formulate the conjecture that the restriction morphism from free closed iterated integrals to closed iterated integrals on loops is onto. We show that, given the conjecture holds, the module of hig...
Riemann hypothesis and some new asymptotically multiplicative integrals which contain the remainder of the prime-counting function $\pi(x)$
Riemann hypothesis asymptotically multiplicative integrals
2010/11/9
A new parametric integral is obtained as a consequence of the Riemann hypothesis. An asymptotic multiplicability is the main property of this integral
Difference system for Selberg correlation integrals
Difference system Selberg correlation integrals
2010/11/12
The Selberg correlation integrals are averages of the products $\prod_{s=1}^m\prod_{l=1}^n (x_s - z_l)^{\mu_s}$ with respect to the Selberg density. Our interest is in the case $m=1$, $\mu_1 = \mu$, w...
We consider systems of ordinary differential equations with known first integrals. The notion of a discrete tangent space is introduced as the orthogonal complement of an arbitrary set of discrete gr...
Redundant Picard-Fuchs system for Abelian integrals
Redundant Picard-Fuchs system Abelian integrals
2010/10/29
We derive an explicit system of Picard-Fuchs differential equations satisfied by Abelian integrals of monomial forms and majorize its coefficients. A peculiar feature of this construction is that the ...