Advanced search
Publication Cover
Applicable Analysis
An International Journal
Volume 41, 1991 - Issue 1-4
Submit an article Journal homepage
25
Views
18
CrossRef citations to date
0
Altmetric
Miscellany

Sampling theorems and the contour integral method

J.R. Higgins Cambridgeshire College of Arts and Technology, Cambridge, England
Pages 155-169 | Received 08 Mar 1989, Published online: 02 May 2007

Citations (18)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (1)

C. L. Prather. (2000) Uniqueness theorems for entire functions having growth [2, π/2). Numerical Functional Analysis and Optimization 21:3-4, pages 509-520.
Read now

Articles from other publishers (17)

M. H. Annaby, I. A. Al-Abdi, A. F. Ghaleb & M. S. Abou-Dina. (2023) Hermite interpolation theorems for band-limited functions of the linear canonical transforms with equidistant samples. Numerical Algorithms 94:3, pages 1281-1308.
Crossref
Stephen D. Casey. 2023. Sampling, Approximation, and Signal Analysis. Sampling, Approximation, and Signal Analysis 139 189 .
Tibor K. Pogány. 2023. Sampling, Approximation, and Signal Analysis. Sampling, Approximation, and Signal Analysis 131 138 .
Zurab A. Piranashvili & Tibor K. Pogány. 2019. Current Trends in Mathematical Analysis and Its Interdisciplinary Applications. Current Trends in Mathematical Analysis and Its Interdisciplinary Applications 491 519 .
A. Yu. Trynin. (2010) The divergence of lagrange interpolation processes in eigenfunctions of the Sturm-Liouville problem. Russian Mathematics 54:11, pages 66-76.
Crossref
A. Yu. Trynin & V.P. Sklyarov. (2008) Error of Sine Approximation of Analytic Functions on an Interval. Sampling Theory in Signal and Image Processing 7:3, pages 263-270.
Crossref
A. Yu. Trynin. (2008) A criterion for the uniform convergence of sinc-approximations on a segment. Russian Mathematics 52:6, pages 58-69.
Crossref
A. Yu. Trynin. (2007) Estimates for the Lebesgue functions and the Nevai formula for the sinc-approximations of continuous functions on an interval. Siberian Mathematical Journal 48:5, pages 929-938.
Crossref
Tibor K. Pogány. (2007) Whittaker-type derivative sampling reconstruction of stochastic Lα(Ω)-processes. Applied Mathematics and Computation 187:1, pages 384-394.
Crossref
Александр Юрьевич Трынин & Alexandr Yurevich Trynin. (2007) Критерии поточечной и равномерной сходимости синк-приближений непрерывных функций на отрезкеTests for pointwise and uniform convergence of sinc approximations of continuous functions on a closed interval. Математический сборник Matematicheskii Sbornik 198:10, pages 141-158.
Crossref
P. L. Butzer, G. Schmeisser & R. L. Stens. 2001. Nonuniform Sampling. Nonuniform Sampling 17 121 .
Paul L. Butzer, J. R. Higgins & R. L. Stens. 2000. Development of Mathematics, 1950–2000. Development of Mathematics, 1950–2000 193 234 .
R.J. Martin. (1999) One-sided sampling series gives fast reconstruction algorithm. IEEE Transactions on Signal Processing 47:6, pages 1770-1772.
Crossref
J.J. Voss. (1997) A Sampling Theorem with Nonuniform Complex Nodes. Journal of Approximation Theory 90:2, pages 235-254.
Crossref
Tibor Pogány. (1996) Statistical estimation of the bandwidth from irregularly spaced data. Signal Processing 54:1, pages 75-80.
Crossref
Georgi R. Grozev & Qazi I. Rahman. (2018) Reconstruction of Entire Functions From Irregularly Spaced Sample Points. Canadian Journal of Mathematics 48:4, pages 777-793.
Crossref
P. L. Butzer & R. L. Stens. (1992) Sampling Theory for not Necessarily Band-Limited Functions: A Historical Overview. SIAM Review 34:1, pages 40-53.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.