Now showing items 254-273 of 340

• #### Random dynamics of transcendental functions ﻿

[OWP-2014-12] (Mathematisches Forschungsinstitut Oberwolfach, 2014-08-20)
This work concerns random dynamics of hyperbolic entire and meromorphic functions of finite order and whose derivative satisfies some growth condition at infinity. This class contains most of the classical families of ...
• #### Rate of Convergence of the Density Estimation of Regression Residual ﻿

[OWP-2012-08] (Mathematisches Forschungsinstitut Oberwolfach, 2012)
Consider the regression problem with a response variable $Y$ and with a $d$-dimensional feature vector $X$. For the regression function $m(x) = \mathbb{E}\{Y|X = x\}$, this paper investigates methods for estimating the ...
• #### Rational Approximation on Products of Planar Domains ﻿

[OWP-2016-05] (Mathematisches Forschungsinstitut Oberwolfach, 2016-06-17)
We consider $A(\Omega)$, the Banach space of functions $f$ from $\overline{\Omega}=\prod_{i \in I} \overline{U_i}$ to $\mathbb{C}$ that are continuous with respect to the product topology and separately holomorphic, where ...
• #### Rational Functions with Small Value Set ﻿

[OWP-2020-05] (Mathematisches Forschungsinstitut Oberwolfach, 2020-03-14)
In connection with Galois Theory and Algebraic Curves, this paper investigates rational functions $h(x) = f(x)/g(x) \in \mathbb{F}_q(x)$ for which the value set $V_h = {\{h(α) | α \in \mathbb{F}_q \cup\{\infty\}}\}$ is ...
• #### A real algebra perspective on multivariate tight wavelet frames ﻿

[OWP-2012-11] (Mathematisches Forschungsinstitut Oberwolfach, 2012-08-13)
Recent results from real algebraic geometry and the theory of polynomial optimization are related in a new framework to the existence question of multivariate tight wavelet frames whose generators have at least one vanishing ...
• #### Real Analyticity is Concentrated in Dimension 2 ﻿

[OWP-2018-23] (Mathematisches Forschungsinstitut Oberwolfach, 2018-11-05)
We prove that a real-valued function on a real analytic manifold is analytic whenever all its restrictions to $2$-dimensional analytic submanifolds are analytic functions. We also obtain analogous results in the framework ...
• #### Real group orbits on flag ind-varieties of SL (∞, C) ﻿

[OWP-2016-01] (Mathematisches Forschungsinstitut Oberwolfach, 2016-05-10)
We consider the complex ind-group $G=SL (\infty, \mathbb{C})$ and its real forms $G^0=SU(\infty,\infty)$, $SU(p,\infty)$, $SL(\infty,\mathbb{R})$, $SL(\infty,\mathbb{H})$. Our main object of study are the $G^0$-orbits on ...
• #### Realizing Spaces as Classifying Spaces ﻿

[OWP-2015-01] (Mathematisches Forschungsinstitut Oberwolfach, 2015-04-10)
Which spaces occur as a classifying space for fibrations with a given fibre? We address this question in the context of rational homotopy theory. We construct an infinite family of finite complexes realized (up to rational ...
• #### Reducing sub-modules of the Bergman module $\mathbb A^{(\lambda)}(\mathbb D^n)$ under the action of the symmetric group ﻿

[OWP-2017-19] (Mathematisches Forschungsinstitut Oberwolfach, 2017-07-20)
The weighted Bergman spaces on the polydisc, $\mathbb A^{(\lambda)}(\mathbb D^n)$, $\lambda>0,$ splits into orthogonal direct sum of subspaces $\mathbb P_{\boldsymbol p}\big(\mathbb A^{(\lambda)}(\mathbb D^n)\big)$ indexed ...
• #### Reflective Prolate-Spheroidal Operators and the KP/KdV Equations ﻿

[OWP-2019-24] (Mathematisches Forschungsinstitut Oberwolfach, 2019-11-05)
Commuting integral and differential operators connect the topics of Signal Processing, Random Matrix Theory, and Integrable Systems. Previously, the construction of such pairs was based on direct calculation and ...
• #### Regularity and energy conservation for the compressible Euler equations ﻿

[OWP-2016-04] (Mathematisches Forschungsinstitut Oberwolfach, 2016-05-10)
We give sufficient conditions on the regularity of solutions to the inhomogeneous incompressible Euler and the compressible isentropic Euler systems in order for the energy to be conserved. Our strategy relies on commutator ...
• #### A Relation Between N-Qubit and 2N-1-Qubit Pauli Groups via Binary LGr(N,2N) ﻿

[OWP-2013-25] (Mathematisches Forschungsinstitut Oberwolfach, 2013-12-09)
• #### Secondary heat flow between confocal ellipses: an application of extended thermodynamics ﻿

[OWP-2007-11] (Mathematisches Forschungsinstitut Oberwolfach, 2007-03-27)
Much as non-Newtonian fluids exhibit secondary flows in elliptic pipes, rarefied gases exhibit secondary heat flows between elliptical cylinders. The phenomenon may be called non-Fourierian, because it is not covered by ...
• #### Self-adjoint differential-algebraic equations ﻿

[OWP-2011-27] (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-24)
Motivated from linear-quadratic optimal control problems for differential-algebraic equations (DAEs), we study the functional analytic properties of the operator associated with the necessary optimality boundary value ...