Discrete Prolate Spheroidal Wave Functions: Further Spectral Analysis and Some Related Applications

Journal of Scientific Computing ◽

10.1007/s10915-020-01157-5 ◽

2020 ◽

Vol 82 (3) ◽

Author(s):

Mourad Boulsane ◽

NourElHouda Bourguiba ◽

Abderrazek Karoui

Keyword(s):

Spectral Analysis ◽

Wave Functions ◽

Prolate Spheroidal ◽

Spheroidal Wave Functions ◽

Prolate Spheroidal Wave Functions

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Spectral analysis of the finite Hankel transform and circular prolate spheroidal wave functions

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2009.07.037 ◽

2009 ◽

Vol 233 (2) ◽

pp. 315-333 ◽

Author(s):

Abderrazek Karoui ◽

Taher Moumni

Keyword(s):

Spectral Analysis ◽

Hankel Transform ◽

Wave Functions ◽

Prolate Spheroidal ◽

Spheroidal Wave Functions ◽

Prolate Spheroidal Wave Functions ◽

Finite Hankel Transform

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Generalized Prolate Spheroidal Wave Functions: Spectral Analysis and Approximation of Almost Band-Limited Functions

Journal of Fourier Analysis and Applications ◽

10.1007/s00041-015-9420-3 ◽

2015 ◽

Vol 22 (2) ◽

pp. 383-412 ◽

Author(s):

Abderrazek Karoui ◽

Ahmed Souabni

Keyword(s):

Spectral Analysis ◽

Wave Functions ◽

Prolate Spheroidal ◽

Spheroidal Wave Functions ◽

Prolate Spheroidal Wave Functions ◽

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Prolate Spheroidal Wave Functions, Quadrature, and Interpolation

10.21236/ada630173 ◽

2000 ◽

Author(s):

H. Xiao ◽

V. Rokhlin ◽

N. Yarvin

Keyword(s):

Wave Functions ◽

Prolate Spheroidal ◽

Spheroidal Wave Functions ◽

Prolate Spheroidal Wave Functions

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Polynomial Analogues of Prolate Spheroidal Wave Functions and Uncertainty

SIAM Journal on Mathematical Analysis ◽

10.1137/0517022 ◽

1986 ◽

Vol 17 (1) ◽

pp. 240-248 ◽

Author(s):

Marci Perlstadt

Keyword(s):

Wave Functions ◽

Prolate Spheroidal ◽

Spheroidal Wave Functions ◽

Prolate Spheroidal Wave Functions

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Pseudospectral method based on prolate spheroidal wave functions for frequency-domain electromagnetic simulations

IEEE Transactions on Antennas and Propagation ◽

10.1109/tap.2005.859899 ◽

2005 ◽

Vol 53 (12) ◽

pp. 3990-4000 ◽

Author(s):

N. Kovvali ◽

W. Lin ◽

L. Carin

Keyword(s):

Frequency Domain ◽

Pseudospectral Method ◽

Wave Functions ◽

Prolate Spheroidal ◽

Spheroidal Wave Functions ◽

Prolate Spheroidal Wave Functions ◽

Electromagnetic Simulations

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q-Prolate spheroidal wave functions and q-sampling theorem

Applied Mathematics and Computation ◽

10.1016/j.amc.2013.07.065 ◽

2013 ◽

Vol 222 ◽

pp. 453-461

Author(s):

Lazhar Dhaouadi

Keyword(s):

Sampling Theorem ◽

Wave Functions ◽

Prolate Spheroidal ◽

Spheroidal Wave Functions ◽

Prolate Spheroidal Wave Functions

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Approximate formulae for certain prolate spheroidal wave functions valid for large values of both order and band-limit

Applied and Computational Harmonic Analysis ◽

10.1016/j.acha.2006.05.004 ◽

2007 ◽

Vol 22 (1) ◽

pp. 105-123 ◽

Author(s):

Vladimir Rokhlin ◽

Hong Xiao

Keyword(s):

Wave Functions ◽

Prolate Spheroidal ◽

Spheroidal Wave Functions ◽

Prolate Spheroidal Wave Functions

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Oscillation Properties for Some Polynomial Analogues of the Prolate Spheroidal Wave Functions

SIAM Journal on Mathematical Analysis ◽

10.1137/0519052 ◽

1988 ◽

Vol 19 (3) ◽

pp. 751-761 ◽

Author(s):

Marci A. Perlstadt

Keyword(s):

Wave Functions ◽

Prolate Spheroidal ◽

Spheroidal Wave Functions ◽

Prolate Spheroidal Wave Functions ◽

Oscillation Properties

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Novel uwb pulse shaping using prolate spheroidal wave functions

14th IEEE Proceedings on Personal, Indoor and Mobile Radio Communications, 2003. PIMRC 2003. ◽

10.1109/pimrc.2003.1264343 ◽

2004 ◽

Author(s):

R.S. Dilmaghani ◽

M. Ghavami ◽

B. Allen ◽

H. Aghvami

Keyword(s):

Pulse Shaping ◽

Wave Functions ◽

Prolate Spheroidal ◽

Spheroidal Wave Functions ◽

Prolate Spheroidal Wave Functions

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Uncertainty Principles, Prolate Spheroidal Wave Functions, and Applications

Applied and Numerical Harmonic Analysis - Recent Developments in Fractals and Related Fields ◽

10.1007/978-0-8176-4888-6_11 ◽

2010 ◽

pp. 165-190 ◽

Author(s):

Abderrazek Karoui

Keyword(s):

Wave Functions ◽

Uncertainty Principles ◽

Prolate Spheroidal ◽

Spheroidal Wave Functions ◽

Prolate Spheroidal Wave Functions

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