Stabilization of the inverse Laplace transform of multiexponential decay through introduction of a second dimension. [PDF]
Celik H +4 more
europepmc +1 more source
Tables of one- and two-dimensional inverse Laplace transforms of complete elliptic integrals
Shigehiko Okui
openalex +1 more source
Character sum, reciprocity, and Voronoi formula
Abstract We prove a novel four‐variable character sum identity that serves as a twisted, non‐Archimedean analog of Weber's integrals for Bessel functions. Using this identity and ideas from Venkatesh's thesis, we provide a short spectral proof of the Voronoi formulae for classical modular forms with character twists.
Chung‐Hang Kwan, Wing Hong Leung
wiley +1 more source
Dynamic Modelling for a Trickle-Bed Reactor Using the Numerical Inverse Laplace Transform Technique
Jornandes Dias da Silva
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Abstract figure legend Integrated multimodal platform for panoramic cardiac mapping in isolated heart experiments. On the left, an image of the experimental setup during data acquisition showing a Langendorff‐perfused rabbit heart surrounded by three optical cameras (CAM A, B and C) positioned 120° apart, each coupled with high‐power LEDs for panoramic
Jimena Siles +8 more
wiley +1 more source
Quasi‐invariance of Gaussian measures for the 3d$3d$ energy critical nonlinear Schrödinger equation
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
Applications of Fourier Series technique to inverse Laplace transform. Part II
Ichikawa, Satoshi, KISHIMA, Akira
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Numerical Computation of the Rosenblatt Distribution and Applications
ABSTRACT The Rosenblatt distribution plays a key role in the limit theorems for non‐linear functionals of stationary Gaussian processes with long‐range dependence. We derive new expressions for the characteristic function of the Rosenblatt distribution.
Nikolai N. Leonenko, Andrey Pepelyshev
wiley +1 more source
A new numerical method for inverse Laplace transforms used to obtain gluon distributions from the proton structure function [PDF]
Martin M. Block +3 more
openalex +1 more source
First-passage time distribution for random walks on complex networks using inverse Laplace transform and mean-field approximation [PDF]
Mucong Ding, Kwok Yip Szeto
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