Add to ORKGA Pick function of variables is a holomorphic map from to , where is the upper halfplane. Some Pick functions of one variable have an asymptotic expansion at infinity, a power series with real numbers that gives an asymptotic expansion on non-tangential approach regions to infinity. In 1921 H. Hamburger characterized which sequences can occur. We give an extension of Hamburger\u27s results to Pick functions of two variables
AbstractThe Carathéodory coefficient problem for an infinite sequence{cn} can be formulated as follo...
Suppose that $\Gamma$ is a continuous and self-adjoint Hankel operator on $L^2(0, \infty )$ with ker...
AbstractThe strong Hamburger moment problem for a bi-infinite sequence {cn:n=0,±1,±2,…} can be descr...
A Pick function of variables is a holomorphic map from to , where is the upper halfplane. Some Pick ...
The functions analytic in the upper half-plane and mapping the upper-half plane into itself (the so-...
Let P be a probability measure , and R = [summation operator][infinity]n=0 P*n. the associated renew...
AbstractR-functions are rational functions with no poles in the extended complex plane outside a giv...
Let {Xi (t), t ≥ 0}, 1 ≤ i ≤ n be mutually independent centered Gaussian processes with almost surel...
The extremal solutions to the Nevanlinna Pick problem are studied. If there is more than one solutio...
AbstractThe Hankel vector approach in a recent work of the author with Zhao and Zhang on the general...
The general entire solution to a linear system of moment differential equations is obtained in terms...
AbstractAsymptotic expansions for a class of functional limit theorems are investigated. It is shown...
AbstractThe extremal solutions of the truncatedL-problem of moments in two real variables, with supp...
We give a new solvability criterion for the boundary Carath\ue9odory–Fej\ue9r problem: given a point...
AbstractWe consider rational moment problems on the real line with their associated orthogonal ratio...
AbstractThe Carathéodory coefficient problem for an infinite sequence{cn} can be formulated as follo...
Suppose that $\Gamma$ is a continuous and self-adjoint Hankel operator on $L^2(0, \infty )$ with ker...
AbstractThe strong Hamburger moment problem for a bi-infinite sequence {cn:n=0,±1,±2,…} can be descr...
A Pick function of variables is a holomorphic map from to , where is the upper halfplane. Some Pick ...
The functions analytic in the upper half-plane and mapping the upper-half plane into itself (the so-...
Let P be a probability measure , and R = [summation operator][infinity]n=0 P*n. the associated renew...
AbstractR-functions are rational functions with no poles in the extended complex plane outside a giv...
Let {Xi (t), t ≥ 0}, 1 ≤ i ≤ n be mutually independent centered Gaussian processes with almost surel...
The extremal solutions to the Nevanlinna Pick problem are studied. If there is more than one solutio...
AbstractThe Hankel vector approach in a recent work of the author with Zhao and Zhang on the general...
The general entire solution to a linear system of moment differential equations is obtained in terms...
AbstractAsymptotic expansions for a class of functional limit theorems are investigated. It is shown...
AbstractThe extremal solutions of the truncatedL-problem of moments in two real variables, with supp...
We give a new solvability criterion for the boundary Carath\ue9odory–Fej\ue9r problem: given a point...
AbstractWe consider rational moment problems on the real line with their associated orthogonal ratio...
AbstractThe Carathéodory coefficient problem for an infinite sequence{cn} can be formulated as follo...
Suppose that $\Gamma$ is a continuous and self-adjoint Hankel operator on $L^2(0, \infty )$ with ker...
AbstractThe strong Hamburger moment problem for a bi-infinite sequence {cn:n=0,±1,±2,…} can be descr...