Zobrazeno 1 - 10
of 89 405
pro vyhledávání: '"cyclicity"'
Autor:
Aleman, Alexandru, Richter, Stefan
Let $D(\mu)$ denote a harmonically weighted Dirichlet space on the unit disc $\mathbb D$. We show that outer functions $f\in D(\mu)$ are cyclic in $D(\mu)$, whenever $\log f$ belongs to the Pick-Smirnov class $N^+(D(\mu))$. If $f$ has $H^\infty$-norm
Externí odkaz:
http://arxiv.org/abs/2409.20298
Autor:
Kaushik, Vivek
In this thesis, we consider an $N$-dimensional Ornstein-Uhlenbeck (OU) process satisfying the linear stochastic differential equation $d\mathbf x(t) = - \mathbf B\mathbf x(t) dt + \boldsymbol \Sigma d \mathbf w(t).$ Here, $\mathbf B$ is a fixed $N \t
Externí odkaz:
http://arxiv.org/abs/2409.12102
Autor:
Marcantonio, S.1 smarcantonio@fvet.uba.ar, Butler, H.2
Publikováno v:
Taurus. sep2024, Vol. 26 Issue 103, p32-43. 12p.
Autor:
Sampat, Jeet
In this survey, we consider Banach spaces of analytic functions in one and several complex variables for which: (i) polynomials are dense, (ii) point-evaluations on the domain are bounded linear functionals, and (iii) the shift operator corresponding
Externí odkaz:
http://arxiv.org/abs/2409.10224
Autor:
Saltman, David J
There are two outstanding questions about division algebras of prime degree $p$. The first is whether they are cyclic, or equivalently crossed products. The second is whether the center, $Z(F,p)$, of the generic division algebra $UD(F,p)$ is stably r
Externí odkaz:
http://arxiv.org/abs/2409.07240
The cyclicity and Koblitz conjectures ask about the distribution of primes of cyclic and prime-order reduction, respectively, for elliptic curves over $\mathbb{Q}$. In 1976, Serre gave a conditional proof of the cyclicity conjecture, but the Koblitz
Externí odkaz:
http://arxiv.org/abs/2408.16641
Autor:
Abend, Lukas, Schymura, Matthias
We are interested in algebraic properties of empty lattice simplices $\Delta$, that is, $d$-dimensional lattice polytopes containing exactly $d+1$ points of the integer lattice $\mathbb{Z}^d$. The cyclicity rank of $\Delta$ is the minimal number of c
Externí odkaz:
http://arxiv.org/abs/2407.01179
Autor:
Fricain, Emmanuel, Lebreton, Romain
In this paper, we study the cyclicity of the shift operator $S$ acting on a Banach space $\X$ of analytic functions on the open unit disc $\D$. We develop a general framework where a method based on a corona theorem can be used to show that if $f,g\i
Externí odkaz:
http://arxiv.org/abs/2406.06182
Autor:
Hu, Xiao1, Tao, Yufei2
Publikováno v:
Journal of the ACM. Feb2024, Vol. 71 Issue 1, p1-44. 44p.