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Fourier Analysis of MAC Polarization

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A vector field method on the distorted Fourier side and decay for wave equations with potentials

Joachim Krieger, Roland Donninger

We study the Cauchy problem for the one-dimensional wave equation

\partial_t^2 u(t,x)-\partial_x^2 u(t,x)+V(x)u(t,x)=0.

The potential

V

is assumed to be smooth with asymptotic behavior

V(x)\sim -\tfrac14 |x|^{-2}\mbox{ as } |x|\to \infty.

...

2016

Fourier Analysis of MAC Polarization

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Discreteness of interior transmission eigenvalues revisited

A non-stationary stochastic ensemble generator for radar rainfall fields based on the short-space Fourier transform

Large Sieve Inequalities for Algebraic Trace Functions

Increasing the Sensitivity to Short-Lived Species in a Modulated Excitation Experiment

An Ergodic Theory of Binary Operations-Part II: Applications to Polarization

Undecidability through Fourier series

Audio inpainting with similarity graphs

Detecting and Localizing Differences in Functional Time Series Dynamics: A Case Study in Molecular Biophysics

A vector field method on the distorted Fourier side and decay for wave equations with potentials

High-field dissolution dynamic nuclear polarization of [1-C-13]pyruvic acid

Audio inpainting with similarity graphs

Undecidability through Fourier series

A vector field method on the distorted Fourier side and decay for wave equations with potentials

High-field dissolution dynamic nuclear polarization of [1-C-13]pyruvic acid

Detecting and Localizing Differences in Functional Time Series Dynamics: A Case Study in Molecular Biophysics

Large Sieve Inequalities for Algebraic Trace Functions

A non-stationary stochastic ensemble generator for radar rainfall fields based on the short-space Fourier transform

Increasing the Sensitivity to Short-Lived Species in a Modulated Excitation Experiment

An Ergodic Theory of Binary Operations-Part II: Applications to Polarization

Discreteness of interior transmission eigenvalues revisited