Results 131 to 140 of about 1,100,393 (352)

Bohr phenomena for Laplace-Beltrami operators

open access: yesIndagationes Mathematicae, 2006
AbstractWe investigate a Bohr phenomenon on the spaces of solutions of weighted Laplace-Beltrami operators associated with the hyperbolic metric of the unit ball in ℂN. These solutions do not satisfy the usual maximum principle, and the spaces have natural bases none of whose members is a constant function.
openaire   +5 more sources

A probabilistic diagnostic for Laplace approximations: Introduction and experimentation

open access: yesCanadian Journal of Statistics, EarlyView.
Abstract Many models require integrals of high‐dimensional functions: for instance, to obtain marginal likelihoods. Such integrals may be intractable, or too expensive to compute numerically. Instead, we can use the Laplace approximation (LA). The LA is exact if the function is proportional to a normal density; its effectiveness therefore depends on ...
Shaun McDonald, Dave Campbell
wiley   +1 more source

Quasi‐invariance of Gaussian measures for the 3d$3d$ energy critical nonlinear Schrödinger equation

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
Abstract We consider the 3d$3d$ energy critical nonlinear Schrödinger equation with data distributed according to the Gaussian measure with covariance operator (1−Δ)−s$(1-\Delta)^{-s}$, where Δ$\Delta$ is the Laplace operator and s$s$ is sufficiently large. We prove that the flow sends full measure sets to full measure sets. We also discuss some simple
Chenmin Sun, Nikolay Tzvetkov
wiley   +1 more source

Codomains for the Cauchy-Riemann and Laplace operators in ℝ2

open access: yesJournal of Function Spaces and Applications, 2008
A codomain for a nonzero constant-coefficient linear partial differential operator P(∂) with fundamental solution E is a space of distributions T for which it is possible to define the convolution E*T and thus solving the equation P(∂)S=T.
Lloyd Edgar S. Moyo
doaj   +1 more source

AGORA: Adaptive Generation of Orthogonal Rational Approximations for Frequency‐Response Data

open access: yesInternational Journal of Circuit Theory and Applications, EarlyView.
This paper introduces the adaptive generation of orthogonal rational approximations (AGORA) method for rational function approximation of measured or simulated microwave network parameters. AGORA allows estimating the model order for a given error tolerance and does not require any initial estimates or adjustment of hyperparameters. ABSTRACT This paper
Andria Lemus, Arif Ege Engin
wiley   +1 more source

Impedance Modeling and Analysis of PV Inverters Considering Fractional‐Order Characteristics of Elements

open access: yesInternational Journal of Circuit Theory and Applications, EarlyView.
This manuscript finds that the previous impedance modeling and stability analysis methods for photovoltaic inverters have not yet considered the fractional‐order characteristics of the elements; in order to make up for the blank in this research field, this paper carried out relevant work.
Guanlei Li   +4 more
wiley   +1 more source

On the Design of Complex Coefficient Multifunction Filters

open access: yesInternational Journal of Circuit Theory and Applications, EarlyView.
This work presents novel designs of multifunction topologies for simultaneously extracting the real and imaginary components of complex band‐pass and notch filters, which are derived from prototype first‐order low‐pass and high‐pass filters. The real and imaginary parts of the complex filters are then post‐processed to compute the instantaneous ...
Julia Nako   +3 more
wiley   +1 more source

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