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Kramer's sampling theorem for multidimensional signals and its relationship with Lagrange-type interpolations
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/978-3-642-73015-3_5openalex-snapshot
Reconstruction of Two-Dimensional Signals from Irregularly Spaced Samples
inferredcites →https://doi.org/10.1007/bf01535514openalex-snapshot
Some applications for Kramer's generalized sampling theorem
inferredcites →https://doi.org/10.1016/0010-4485(74)90265-6openalex-snapshot
IEEE trans. circuit theory
inferredcites →https://doi.org/10.1016/0016-0032(69)90165-3openalex-snapshot
Systems and transforms with applications in optics
inferredcites →https://doi.org/10.1016/0020-0255(78)90009-9openalex-snapshot
A general sampling expansion
inferredcites →https://doi.org/10.1016/0020-0255(82)90039-1openalex-snapshot
A note on sampling expansion for a transform with parabolic cylinder kernel
inferredcites →https://doi.org/10.1016/0022-247x(66)90163-6openalex-snapshot
A multidimensional sampling theorem
inferredcites →https://doi.org/10.1016/0165-1684(89)90068-6openalex-snapshot
Reconstruction of bounded signals from pseudo-periodic, irregularly spaced samples
inferredcites →https://doi.org/10.1016/s0019-9958(62)90633-2openalex-snapshot
Sampling and reconstruction of wave-number-limited functions in N-dimensional euclidean spaces
inferredcites →https://doi.org/10.1080/00036818808839723openalex-snapshot
Sampling expansion for the continuous bessel transform
inferredcites →https://doi.org/10.1080/00036818908839838openalex-snapshot
Two-dimensional nonuniform sampling expansions an iterative approach. i. theory of two-dimensional bandlimited signals
inferredcites →https://doi.org/10.1080/00207176508905452openalex-snapshot
K-order Sampling ofN-dimensional Band-limited Functions†
inferredcites →https://doi.org/10.1080/01969727508546090openalex-snapshot
Sampling Expansion for Band-Limited Signals Through Some Special Functions
inferredcites →https://doi.org/10.1090/coll/019openalex-snapshot
Fourier Transforms in the Complex Domain
inferredcites →https://doi.org/10.1090/mmono/039openalex-snapshot
Introduction to spectral theory: selfadjoint ordinary differential operators
inferredcites →https://doi.org/10.1090/s0273-0979-1985-15293-0openalex-snapshot
Five short stories about the cardinal series
inferredcites →https://doi.org/10.1109/18.30976openalex-snapshot
On nonuniform sampling expansions using entire interpolating functions, and on the stability of Bessel-type sampling expansions
inferredcites →https://doi.org/10.1109/proc.1977.10771openalex-snapshot
The Shannon sampling theorem—Its various extensions and applications: A tutorial review
inferredcites →https://doi.org/10.1109/proc.1979.11356openalex-snapshot
The processing of hexagonally sampled two-dimensional signals
inferredcites →https://doi.org/10.1109/tassp.1983.1164018openalex-snapshot
The processing of periodically sampled multidimensional signals
inferredcites →https://doi.org/10.1109/tassp.1985.1164714openalex-snapshot
A transformation method for the reconstruction of functions from nonuniformly spaced samples
inferredcites →https://doi.org/10.1109/tct.1956.1086325openalex-snapshot
On Nonuniform Sampling of Bandwidth-Limited Signals
inferredcites →https://doi.org/10.1109/tct.1967.1082745openalex-snapshot
On Some Stability and Interpolatory Properties of Nonuniform Sampling Expansions
inferredcites →https://doi.org/10.1109/tit.1969.1054324openalex-snapshot
On the equivalence of Kramer's and Shannon's sampling theorems (Corresp.)
inferredcites →https://doi.org/10.1109/tit.1976.1055596openalex-snapshot
A sampling theorem for irregularly spaced sample points (Corresp.)
inferredcites →https://doi.org/10.1109/tit.1982.1056561openalex-snapshot
Sampling approximation of continuous functions with multidimensional domain (Corresp.)
inferredcites →https://doi.org/10.1112/jlms/s2-5.4.707openalex-snapshot
An Interpolation Series Associated with the Bessel-Hankel Transform
inferredcites →https://doi.org/10.1137/0112011openalex-snapshot
A Comparison of the Sampling Theorems of Kramer and Whittaker
inferredcites →https://doi.org/10.1137/0150053openalex-snapshot
On Lagrange Interpolation and Kramer-Type Sampling Theorems Associated with Sturm–Liouville Problems
inferredcites →https://doi.org/10.1137/0151030openalex-snapshot
On Kramer’s Sampling Theorem Associated with General Sturm-Liouville Problems and Lagrange Interpolation
inferredcites →https://doi.org/10.21236/ad0117999openalex-snapshot
A SIMPLE PROOF AND SOME EXTENSIONS OF THE SAMPLING THEOREM
inferredcites →https://doi.org/10.2307/2300274openalex-snapshot
A Treatise on the Theory of Bessel Functions.
inferredcites →https://doi.org/10.2307/2311344openalex-snapshot
An Introduction to Information Theory.
inferredcites →https://doi.org/10.2307/3030074openalex-snapshot
A Treatise on the Theory of Bessel Functions
inferredcites →https://doi.org/10.4064/sm-44-1-39-45openalex-snapshot
Singular integrals and spherical convergence
inferredcites →https://doi.org/10.4064/sm-44-3-253-262openalex-snapshot
Singular integrals and cardinal series
inferredcites →https://doi.org/10.6028/jres.073b.024openalex-snapshot
On the application of some interpolating functions in physics
inferredcites →https://doi.org/10.6028/jres.080b.043openalex-snapshot
Sampling expansion for a Languerre-La? transform
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1002/(sici)1099-1476(19980310)21:4<361::aid-mma954>3.0.co;2-eopenalex-snapshot
One and multidimensional sampling theorems associated with Dirichlet problems
inferred← citeshttps://doi.org/10.1006/jmaa.1997.5598openalex-snapshot
Sampling Theorem Associated with a Dirac Operator and the Hartley Transform
inferred← citeshttps://doi.org/10.1007/978-1-4615-1229-5_3openalex-snapshot
Lagrange Interpolation and Sampling Theorems
inferred← citeshttps://doi.org/10.1007/978-3-032-16356-1_48openalex-snapshot
Linear and Fractional Transformations in Signal Analysis
inferred← citeshttps://doi.org/10.1007/978-3-0348-0667-1_48openalex-snapshot
Linear Transformations in Signal and Optical Systems
inferred← citeshttps://doi.org/10.1007/978-3-0348-0692-3_48-1openalex-snapshot
Linear Transformations in Signal and Optical Systems
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Linear and Fractional Transformations in Signal Analysis
inferred← citeshttps://doi.org/10.1007/s11425-009-0139-yopenalex-snapshot
Multivariate irregular sampling theorem
inferred← citeshttps://doi.org/10.1016/j.acha.2009.10.006openalex-snapshot
Irregular and multi-channel sampling of operators
inferred← citeshttps://doi.org/10.1016/s0022-247x(03)00260-9openalex-snapshot
Sampling of vector-valued transforms associated with Green's matrix of Dirac systems
inferred← citeshttps://doi.org/10.1080/10652469.2013.873426openalex-snapshot
A generalization of the prolate spheroidal wave functions with applications to sampling
inferred← citeshttps://doi.org/10.1080/17476939408814784openalex-snapshot
Sampling theorem for functions bandlimited to a disc
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A Proof of New Summation Formulae by Using Sampling Theorems
inferred← citeshttps://doi.org/10.1109/sampta.2017.8024480openalex-snapshot
Multivariate and some other extensions of sampling Theory for Signal Processing a historic perspective
inferred← citeshttps://doi.org/10.1186/s13662-021-03368-yopenalex-snapshot
Multidimensional sampling theorems for multivariate discrete transforms
inferred← citeshttps://doi.org/10.12677/aam.2025.144221openalex-snapshot
Kolmogorov n-Width of Weighted Multivariate Paley-Wiener Spaces in Probability and Average Settings
inferred← citeshttps://doi.org/10.5860/choice.47-2589openalex-snapshot
Handbook of Fourier analysis & its applications
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