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Shannon sampling and function reconstruction from point values
Author(s):
Steve
Smale;
Ding-Xuan
Zhou
Journal:
Bull. Amer. Math. Soc.
41
(2004),
279-305.
MSC (2000):
Primary 68T05, 94A20;
Secondary 68P05, 42B10
Posted:
April 13, 2004
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Additional information
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Additional Information:
Steve
Smale
Affiliation:
Toyota Technological Institute at Chicago, 1427 East 60th Street, Chicago, Illinois 60637
Email:
smale@math.berkeley.edu
Ding-Xuan
Zhou
Affiliation:
Department of Mathematics, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong, China
Email:
mazhou@math.cityu.edu.hk
DOI:
10.1090/S0273-0979-04-01025-0
PII:
S 0273-0979(04)01025-0
Keywords:
Learning theory,
sampling theory,
regularization,
rich data
Received by editor(s):
October 28, 2003
Posted:
April 13, 2004
Dedicated:
Dedicated to the memory of René Thom
Additional Notes:
The first author is partially supported by NSF grant 0325113.
The second author is supported partially by the Research Grants Council of Hong Kong [Project No. CityU 103303] and by City University of Hong Kong [Project No. 7001442].
Copyright of article:
Copyright
2004,
American Mathematical Society
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