On truncation error bound for multidimensional sampling expansion laplace transform
Abstract
The truncation error associated with a given sampling representation is defined as the difference between the signal and an approximating sumutilizing a finite number of terms. In this paper we give uniform bound for truncation error of bandlimited functions in the n dimensional Lebesgue spaceL p (R n ) associated with multidimensional Shannon sampling representation.
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The reconstruction procedure is equivalent to the Whittaker-Kotelnikov-Shannon formula.
“and that this reconstruction is equivalent to the Whittaker-Kotelnikov-Shannon formula (see [38,39] for the multidimensional case).”
From The Dirac equation as a quantum walk: higher dimensions, observational convergence (2014) · cites this paper as [39]
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The Dirac equation as a quantum walk: higher dimensions, observational convergence
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- Authors
- Jingfan, L., & Gensun, F.
- Affiliations
- Beijing Normal University (CN)
- Corresponding author
- Gensun, Fang
- Venue
- Analysis in Theory and Applications
- Publisher
- Global Science Press
- Published
- 2004-03
- Volume
- 20
- Issue
- 1
- Pages
- 52-57
- ISSN
- 1573-8175 (ISSN-L)
- 1672-4070
- OpenAlex
- W2010493400
- Cited by
- 9
- References
- 16
- Citations by year
- 2021: 1 · 2020: 1 · 2019: 1 · 2018: 1 · 2015: 2 · 2014: 2 · 2012: 1
- FWCI
- 0.00
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Analysis in Theory and Applications (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Applied Mathematics › Mathematical Analysis and Transform Methods
- Physical Sciences › Mathematics › Statistics and Probability › Approximation Theory and Sequence Spaces
- Physical Sciences › Mathematics › Applied Mathematics › Mathematical functions and polynomials
- Keywords
- truncation error, multidimensional sampling, Laplace transform, band-limited functions, uniform error bounds, Lp spaces
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