Some Results about Dissipativity of Kolmogorov OperatorsCzechoslovak Mathematical Journal - Tập 51 - Trang 685-699 - 2001
Giuseppe Da Prato, Luciano Tubaro
Given a Hilbert space H with a Borel probability measure ν, we prove the m-dissipativity in L
1(H, ν) of a Kolmogorov operator K that is a perturbation, not necessarily of gradient type, of an Ornstein-Uhlenbeck operator.
Evolution equations governed by Lipschitz continuous non-autonomous formsCzechoslovak Mathematical Journal - Tập 65 - Trang 475-491 - 2015
Ahmed Sani, Hafida Laasri
We prove L
2-maximal regularity of the linear non-autonomous evolutionary Cauchy problem
$$\dot u(t) + A(t)u(t) = f(t){\text{ for a}}{\text{.e}}{\text{. }}t \in \left[ {0,T} \right],{\text{ }}u(0) = {u_0}$$
, where the operator A(t) arises from a time depending sesquilinear form a(t, ·, ·)...... hiện toàn bộ
Asymptotics of variance of the lattice point countCzechoslovak Mathematical Journal - Tập 58 - Trang 751-758 - 2008
Jiří Janáček
The variance of the number of lattice points inside the dilated bounded set rD with random position in ℝ
d
has asymptotics ∼ r
d−1 if the rotational average of the squared modulus of the Fourier transform of the set is O(ϰ
−d−1). The asymptotics follow from Wiener’s Tauberian theorem.
On the Stieltjes moment problem on semigroupsCzechoslovak Mathematical Journal - - 2002
Torben Maack Bisgaard
We characterize finitely generated abelian semigroups such that every completely positive definite function (a function all of whose shifts are positive definite) is an integral of nonnegative miltiplicative real-valued functions (called nonnegative characters).
The primitive Boolean matrices with the second largest scrambling index by Boolean rankCzechoslovak Mathematical Journal - Tập 64 - Trang 269-283 - 2014
Yanling Shao, Yubin Gao
The scrambling index of an n × n primitive Boolean matrix A is the smallest positive integer k such that A
k
(A
T)
k
= J, where A
T denotes the transpose of A and J denotes the n×n all ones matrix. For an m×n Boolean matrix M, its Boolean rank b(M) is the smallest positive integer ...... hiện toàn bộ
Properties of differences of meromorphic functionsCzechoslovak Mathematical Journal - Tập 61 - Trang 213-224 - 2011
Zong-Xuan Chen, Kwang Ho Shon
Let f be a transcendental meromorphic function. We propose a number of results concerning zeros and fixed points of the difference g(z) = f(z + c) − f(z) and the divided difference g(z)/f(z).