Zobrazeno 1 - 10
of 150
pro vyhledávání: '"Pascoe, J. E."'
Autor:
Pascoe, J. E.
Many theorems in complex analysis propagate analyticity, such as the Forelli theorem, edge-of-the-wedge theorem and so on. We give a germination theorem which allows for general analytic propagation in complete normed fields. In turn, we develop gene
Externí odkaz:
http://arxiv.org/abs/2210.14903
Autor:
Pascoe, J. E., Tully-Doyle, Ryan
Given a pair of self-adjoint-preserving completely bounded maps on the same $C^*$-algebra, say that $\varphi \leq \psi$ if the kernel of $\varphi$ is a subset of the kernel of $\psi$ and $\psi \circ \varphi^{-1}$ is completely positive. The \emph{Agl
Externí odkaz:
http://arxiv.org/abs/2204.02963
Autor:
Pascoe, J. E., Tully-Doyle, Ryan
Classically, theorems of Fatou and Julia describe the boundary regularity of functions in one complex variable. The former says that a complex analytic function on the disk has non-tangential boundary values almost everywhere, and the latter describe
Externí odkaz:
http://arxiv.org/abs/2108.08830
Autor:
Pascoe, J. E., Tully-Doyle, Ryan
We prove that the principal pivot transform (also known as the partial inverse, sweep operator, or exchange operator in various contexts) maps matrices with positive imaginary part to matrices with positive imaginary part. We show that the principal
Externí odkaz:
http://arxiv.org/abs/2108.05910
We analyze metrics for how close an entire function of genus one is to being real rooted. These metrics arise from truncated Hankel matrix positivity-type conditions built from power series coefficients at each real point. Specifically, if such a fun
Externí odkaz:
http://arxiv.org/abs/2108.04807
Autor:
Pascoe, J. E., Yadav, Tapesh
We analyze the macroscale behavior of random lower (and therefore upper) triangular matrices with entries drawn iid from a distribution with nonzero mean and finite variance. We show that such a matrix behaves like a probabilistic version of a Rieman
Externí odkaz:
http://arxiv.org/abs/2104.02707
Autor:
Pascoe, J. E.
We develop the theory of invariant structure preserving and free functions on a general structured topological space. We show that an invariant structure preserving function is pointwise approximiable by the appropriate analog of polynomials in the s
Externí odkaz:
http://arxiv.org/abs/2104.02104
Autor:
Pascoe, J. E.
We define the principal divisor of a free noncommuatative function. We use these divisors to compare the determinantal singularity sets of free noncommutative functions. We show that the divisor of a noncommutative rational function is the difference
Externí odkaz:
http://arxiv.org/abs/2010.14483
In this paper, we give formulas that allow one to move between transfer function type realizations of multi-variate Schur, Herglotz and Pick functions, without adding additional singularities except perhaps poles coming from the conformal transformat
Externí odkaz:
http://arxiv.org/abs/2009.14188
Autor:
Pascoe, J. E.
We classify functions $f:(a,b)\rightarrow \mathbb{R}$ which satisfy the inequality $$\operatorname{tr} f(A)+f(C)\geq \operatorname{tr} f(B)+f(D)$$ when $A\leq B\leq C$ are self-adjoint matrices, $D= A+C-B$, the so-called trace minmax functions. (Here
Externí odkaz:
http://arxiv.org/abs/2008.05469