PROLATE SPHEROIDAL WAVE FUNCTIONS FOURIER ANALYSIS + UNCETTAINTY .4. EXTENSIONS TO MANY DIMENSIONS - GENERALIZED PROLATE SPHEROIDAL FUNCTIONS

被引:588
作者
SLEPIAN, D
机构
来源
BELL SYSTEM TECHNICAL JOURNAL | 1964年 / 43卷 / 06期
关键词
D O I
10.1002/j.1538-7305.1964.tb01037.x
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
引用
收藏
页码:3009 / +
页数:1
相关论文
共 50 条
[41]   FINITE SUMS OF PROLATE SPHEROIDAL WAVE-FUNCTIONS [J].
PALMA, C .
WAVE ELECTRONICS, 1979, 3 (04) :311-317
[42]   SOME ASYMPTOTIC EXPANSIONS FOR PROLATE SPHEROIDAL WAVE FUNCTIONS [J].
SLEPIAN, D .
JOURNAL OF MATHEMATICS AND PHYSICS, 1965, 44 (02) :99-+
[43]   CALCULATION OF PROLATE SPHEROIDAL WAVE-FUNCTIONS - REMARKS [J].
SUCHILIN, VA .
TELECOMMUNICATIONS AND RADIO ENGINEERING, 1990, 45 (12) :150-150
[44]   Approximations in Sobolev spaces by prolate spheroidal wave functions [J].
Bonami, Aline ;
Karoui, Abderrazek .
APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2017, 42 (03) :361-377
[45]   Reconstruction from the Fourier transform on the ball via prolate spheroidal wave functions [J].
Isaev, Mikhail ;
Novikov, Roman G. .
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2022, 163 :318-333
[46]   Reducing sampling error by prolate spheroidal wave functions and fractional Fourier transform [J].
Ding, JJ ;
Pei, SC .
2005 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, VOLS 1-5: SPEECH PROCESSING, 2005, :217-220
[47]   Generalized prolate spheroidal wave functions for offset linear canonical transform in Clifford analysis [J].
Kou, K. ;
Morais, J. ;
Zhang, Y. .
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2013, 36 (09) :1028-1041
[48]   Generalized Prolate Spheroidal Wave Functions: Spectral Analysis and Approximation of Almost Band-Limited Functions [J].
Abderrazek Karoui ;
Ahmed Souabni .
Journal of Fourier Analysis and Applications, 2016, 22 :383-412
[49]   Generalized Prolate Spheroidal Wave Functions: Spectral Analysis and Approximation of Almost Band-Limited Functions [J].
Karoui, Abderrazek ;
Souabni, Ahmed .
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2016, 22 (02) :383-412
[50]   Robust Generalized Inner Products Algorithm Using Prolate Spheroidal Wave Functions [J].
Yang, Xiaopeng ;
Liu, Yongxu ;
Hu, Xiaona ;
Long, Teng .
2012 IEEE RADAR CONFERENCE (RADAR), 2012,