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Real analytic expansion of spectral projection and extension of Hecke-Bochner identity
Coxeter group Hecke-Bochner identity Heisenberg group Laguerre polynomials spherical harmonics twisted convolution
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2012/4/16
In this article, we review the Weyl correspondence of bigraded spherical harmonics and use it to extend the Hecke-Bochner identities for the spectral projections $f\times\varphi_k^{n-1}$ for function ...
Spectral Bandwidth Reduction of Thomson Scattered Light by Pulse Chirping
Spectral Bandwidth Reduction of Thomson Light Pulse Chirping Optics
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2012/4/19
Based on single particle tracking in the framework of classical Thomson scattering with incoherent superposition, we developed a fully relativistic, three dimensional numerical code that calculates an...
The spectral slope coefficient of chromophoric dissolved organic matter (S275–295) as a tracer of terrigenous dissolved organic carbon in river-influenced ocean margins
The spectral slope coefficient chromophoric dissolved organic matter S275–295 tracer of terrigenous dissolved organic carbon river-influenced ocean margins
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2014/4/4
The present study demonstrates that the spectral slope coefficient of chromophoric dissolved organic matter (CDOM) between 275 nm and 295 nm (S275–295) can be used as a tracer of the percent terrigeno...
Atomic norm denoising with applications to line spectral estimation
Atomic norm line spectral estimation Information Theory
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2012/4/18
The sub-Nyquist estimation of line spectra is a classical problem in signal processing, but currently popular subspace-based techniques have few guarantees in the presence of noise and rely on a prior...
The spectral slope coefficient of chromophoric dissolved organic matter (S275–295)asa tracer of terrigenous dissolved organic carbon in river-influenced ocean margins
spectral slope coefficient chromophoric dissolved organic matter terrigenous dissolved organic carbon river-influenced ocean margins
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2014/4/3
The present study demonstrates that the spectral slope coefficient of chromophoric dissolved organic matter(CDOM) between 275 nm and 295 nm (S275–295) can be used as a tracer of the percent terrigenou...
25 kHz narrow spectral bandwidth of a wavelength tunable diode laser with a short waveguide-based external cavity
25 kHz narrow spectral bandwidth wavelength tunable diode laser short waveguide-based external cavity Optics
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2012/4/19
We report on the spectral properties of a diode laser with a tunable external cavity in integrated optics. Even though the external cavity is short compared to other small-bandwidth external cavity la...
Spectral stability of periodic wave trains of the Korteweg-de Vries/Kuramoto-Sivashinsky equation in the Korteweg-de Vries limit
Spectral stability periodic wave trains Korteweg-de Vries/Kuramoto-Sivashinsky equation Korteweg-de Vries limit
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2012/3/1
We study the spectral stability of a family of periodic wave trains of the Korteweg-de Vries/Kuramoto-Sivashinsky equation $ \partial_t v+v\partial_x v+\partial_x^3 v+\delta(\partial_x^2 v +\partial_x...
Annual Variation of Local Photon Emissions’ Spectral Power within the mHz Range Overlaps with Seismic-Atmospheric Acoustic Oscillations
Photon Emissions Earth Oscillations Spheroidal Modes
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2013/3/7
Spheroidal modes of seismic and acoustic oscillations in the atmosphere occur within the 2 to 7 mHz range with peak-to-peak variations in the order of 10–12 to 10–11 m·s–2. Previous research indicated...
$L^q$ bounds on restrictions of spectral clusters to submanifolds for low regularity metrics
$L^q$ restrictions spectral clusters submanifolds low regularity metrics
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2012/3/1
We prove $L^q$ bounds on the restriction of spectral clusters to submanifolds in Riemannian manifolds equipped with metrics of $C^{1,\alpha}$ regularity for $0 \leq \alpha \leq 1$. Our results allow f...
The Unusual Temporal and Spectral Evolution of the Type IIn Supernova 2011ht
Unusual Temporal Spectral Evolution Type IIn Supernova
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2012/2/23
We present very early UV to optical photometric and spectroscopic observations of the peculiar Type IIn supernova (SN) 2011ht in UGC 5460. The UV observations of the rise to peak are only the second e...
Joint spectral-timing modelling of the hard lags in GX 339-4: constraints on reflection models
Joint spectral-timing modelling the hard lags GX 339-4 constraints reflection models
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2012/2/23
The X-ray variations of hard state black hole X-ray binaries above 2 keV show 'hard lags', in that the variations at harder energies follow variations at softer energies, with a time-lag \tau dependin...
A Gas Dynamics Method Based on the Spectral Deferred Corrections (SDC) Time Integration Technique and the Piecewise Parabolic Method (PPM)
Gas Dynamics Conservation Laws Spectral Deferred Corrections (SDC) Methods Piecewise Parabolic Method (PPM) Godunov Methods High Resolution Schemes
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2013/1/30
We present a computational gas dynamics method based on the Spectral Deferred Corrections (SDC) time integration technique and the Piecewise Parabolic Method (PPM) finite volume method. The PPM framew...
Sc III Spectral Properties of Astrophysical Interest
Oscillator strengths lifetimes coupled-cluster method
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2011/10/18
Transition properties such as oscillator strengths, transition rates, branching ratios and lifetimes of many low-lying states in the doubly ionized scandium (Sc III) are reported. A relativistic metho...
Spectral-Temporal Simulations of Internal Dissipation Models of Gamma-Ray Bursts
Spectral-Temporal Simulations Internal Dissipation Models Gamma-Ray Bursts
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2011/10/19
We present calculations of the time evolution of the prompt spectra of gamma-ray burst models involving generic internal dissipation regions, including internal shocks, either by itself or in the pres...
A spectral theory of linear operators on rigged Hilbert spaces under certain analyticity conditions
generalized eigenvalue resonance pole rigged Hilbert space Gelfand triplet generalized function
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2011/9/22
Abstract: A spectral theory of linear operators on rigged Hilbert spaces (Gelfand triplets) is developed under the assumptions that a linear operator $T$ on a Hilbert space $\mathcal{H}$ is a perturba...