DENSITY THEOREMS FOR SAMPLING AND INTERPOLATION IN THE BARGMANN-FOCK SPACE .3.

被引:22
作者
BREKKE, S [1 ]
SEIP, K [1 ]
机构
[1] NORWEGIAN INST TECHNOL,DEPT MATH SCI,N-7034 TRONDHEIM,NORWAY
关键词
D O I
10.7146/math.scand.a-12459
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
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页码:112 / 126
页数:15
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共 16 条
[1]   HEISENBERG PROOF OF THE BALIAN LOW THEOREM [J].
BATTLE, G .
LETTERS IN MATHEMATICAL PHYSICS, 1988, 15 (02) :175-177
[2]  
BERLING A, 1989, COLLECTED WORKS A BE, V2, P341
[3]   TIME FREQUENCY LOCALIZATION OPERATORS - A GEOMETRIC PHASE-SPACE APPROACH [J].
DAUBECHIES, I .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1988, 34 (04) :605-612
[4]   A CLASS OF NONHARMONIC FOURIER SERIES [J].
DUFFIN, RJ ;
SCHAEFFER, AC .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1952, 72 (MAR) :341-366
[5]  
Folland G. B., 1989, HARMONIC ANAL PHASE
[6]   A RIESZ BASIS FOR BARGMANN-FOCK SPACE RELATED TO SAMPLING AND INTERPOLATION [J].
GROCHENIG, K ;
WALNUT, D .
ARKIV FOR MATEMATIK, 1992, 30 (02) :283-295
[7]  
Hoffman K., 1962, BANACH SPACES ANAL F
[8]   SHANNON SAMPLING THEOREM - ITS VARIOUS EXTENSIONS AND APPLICATIONS - TUTORIAL REVIEW [J].
JERRI, AJ .
PROCEEDINGS OF THE IEEE, 1977, 65 (11) :1565-1596
[9]   NECESSARY DENSITY CONDITIONS FOR SAMPLING AND INTERPOLATION OF CERTAIN ENTIRE FUNCTIONS [J].
LANDAU, HJ .
ACTA MATHEMATICA UPPSALA, 1967, 117 :37-&
[10]  
OYMA K, 1979, P AM MATH SOC, V76, P81