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Prolate spheroidal wave function

Known as: PSF, Prolate spheroidal wave functions 
In mathematics, the prolate spheroidal wave functions (PSWF) are a set of functions derived by timelimiting and lowpassing, and a second timelimit… 
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Related topics

Related topics

1 relation
Spectral concentration problem

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2017
2017
Prolate Spheroidal Wave Function as Exact Solution of the Schrödinger Equation
In quantum mechanics, the wave function and energy are required for the complete characterization of fundamental properties of a… 
Highly Cited
2013
Highly Cited
2013
Generalized prolate spheroidal wave functions for offset linear canonical transform in Clifford analysis
Prolate spheroidal wave functions (PSWFs) possess many remarkable properties. They are orthogonal basis of both square integrable… 
2010
2010
Uncertainty Principles, Prolate Spheroidal Wave Functions, and Applications
In the literature, the prolate spheroidal wave functions (PSWFs) are often regarded as mysterious set of functions of L2(ℝ), with… 
2010
2010
Generalized Prolate Spheroidal Wave Functions Associated With Linear Canonical Transform
Time-limited and (a, b, c, d)-band-limited signals are of great interest not only in theory but also in real applications. In… 
2008
2008
Prolate spheroidal wave functions induce Gaussian chip waveforms
Slepianpsilas prolate spheroidal wave function (PSWF) is optimum in energy concentration within given frequency bandwidth and… 
2006
2006
Chromatic Series and Prolate Spheroidal Wave Functions
The Ignjatovic theory of chromatic derivatives and series is extended to include other series. In particular series of prolate… 
2005
2005
UWB pulse design using the approximate prolate spheroidal wave functions
Coexistence and compatibility is an important issue needed to be considered in ultra-wideband (UWB) impulse radio communications… 
2003
2003
Optimal data acquisition in fMRI using prolate spheroidal wave functions
  • M. Lindquist
  • International journal of imaging systems and…
  • 2003
  • Corpus ID: 13008013
Functional magnetic resonance imaging (fMRI) is a technique that can be used to noninvasively study mental activity in a persons… 
1985
1985
Discrete prolate spheroidal wave functions and interpolation.
We describe an algorithm for the interpolation of burst errors in discrete-time signals that can be modelled as being band… 
Highly Cited
1979
Highly Cited
1979
Interpolation of band-limited functions using the approximate prolate series (Corresp.)
A new series for the interpolation of band-limited functions is found by using an approximation to tho prolate spheroidal wave… 
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