Prolate spheroidal wave functions associated with the quaternionic Fourier transform

Cuiming Zou; Kit Ian Kou; Joao Morais

doi:10.1002/mma.4439

Prolate spheroidal wave functions associated with the quaternionic Fourier transform

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4439 ◽

2017 ◽

Vol 41 (11) ◽

pp. 4003-4020 ◽

Cited By ~ 1

Author(s):

Cuiming Zou ◽

Kit Ian Kou ◽

Joao Morais

Keyword(s):

Fourier Transform ◽

Wave Functions ◽

Prolate Spheroidal ◽

Spheroidal Wave Functions ◽

Prolate Spheroidal Wave Functions ◽

Quaternionic Fourier Transform

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Radar mapping: Prolate spheroidal wave functions versus truncated inverse fourier transform

IRE Transactions on Antennas and Propagation ◽

10.1109/tap.1972.1140169 ◽

1972 ◽

Vol 20 (2) ◽

pp. 188-193 ◽

Cited By ~ 3

Author(s):

G. Buck

Keyword(s):

Fourier Transform ◽

Inverse Fourier Transform ◽

Wave Functions ◽

Prolate Spheroidal ◽

Spheroidal Wave Functions ◽

Prolate Spheroidal Wave Functions

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Reducing Sampling Error by Prolate Spheroidal Wave Functions and Fractional Fourier Transform

Proceedings. (ICASSP '05). IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005. ◽

10.1109/icassp.2005.1415984 ◽

2006 ◽

Author(s):

Jian-Jiun Ding ◽

Soo-Chang Pei

Keyword(s):

Fourier Transform ◽

Fractional Fourier Transform ◽

Sampling Error ◽

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 ◽

Cited By ~ 5

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 ◽

Cited By ~ 4

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 ◽

Cited By ~ 14

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 ◽

Cited By ~ 27

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 ◽

Cited By ~ 1

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 ◽

Cited By ~ 40

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 ◽

Cited By ~ 3

Author(s):

Abderrazek Karoui

Keyword(s):

Wave Functions ◽

Uncertainty Principles ◽

Prolate Spheroidal ◽

Spheroidal Wave Functions ◽

Prolate Spheroidal Wave Functions

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