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New Perspectives on Approximation and Sampling Theory

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Cover of 'New Perspectives on Approximation and Sampling Theory'

Table of Contents

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    Book Overview
  2. Altmetric Badge
    Chapter 1 Abstract Exact and Approximate Sampling Theorems
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    Chapter 2 Sampling in Reproducing Kernel Hilbert Space
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    Chapter 3 Boas-Type Formulas and Sampling in Banach Spaces with Applications to Analysis on Manifolds
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    Chapter 4 On Window Methods in Generalized Shannon Sampling Operators
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    Chapter 5 Generalized Sampling Approximation for Multivariate Discontinuous Signals and Applications to Image Processing
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    Chapter 6 Signal and System Approximation from General Measurements
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    Chapter 7 Sampling in Image Representation and Compression
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    Chapter 8 Sparse Signal Processing
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    Chapter 9 Signal Sampling and Testing Under Noise
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    Chapter 10 Superoscillations
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    Chapter 11 General Moduli of Smoothness and Approximation by Families of Linear Polynomial Operators
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    Chapter 12 Variation and Approximation in Multidimensional Setting for Mellin Integral Operators
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    Chapter 13 The Lebesgue Constant for Sinc Approximations
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    Chapter 14 Six (Seven) Problems in Frame Theory
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    Chapter 15 Five Good Reasons for Complex-Valued Transforms in Image Processing
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    Chapter 16 Frequency Determination Using the Discrete Hermite Transform
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    Chapter 17 Fractional Operators, Dirichlet Averages, and Splines
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    Chapter 18 A Distributional Approach to Generalized Stochastic Processes on Locally Compact Abelian Groups
  20. Altmetric Badge
    Chapter 19 On a Discrete Turán Problem for ℓ -1 Radial Functions
Attention for Chapter 3: Boas-Type Formulas and Sampling in Banach Spaces with Applications to Analysis on Manifolds
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Chapter title
Boas-Type Formulas and Sampling in Banach Spaces with Applications to Analysis on Manifolds
Chapter number 3
Book title
New Perspectives on Approximation and Sampling Theory
Published in
arXiv, January 2014
DOI 10.1007/978-3-319-08801-3_3
Book ISBNs
978-3-31-908800-6, 978-3-31-908801-3
Authors

Isaac Z. Pesenson, Pesenson, Isaac Z.

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Attention Score in Context

Attention Score in Context

This research output has an Altmetric Attention Score of 1. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 27 November 2013.
All research outputs
#18,575,287
of 23,852,579 outputs
Outputs from arXiv
#459,025
of 990,619 outputs
Outputs of similar age
#226,340
of 310,665 outputs
Outputs of similar age from arXiv
#2,586
of 10,134 outputs
Altmetric has tracked 23,852,579 research outputs across all sources so far. This one is in the 19th percentile – i.e., 19% of other outputs scored the same or lower than it.
So far Altmetric has tracked 990,619 research outputs from this source. They receive a mean Attention Score of 4.0. This one is in the 43rd percentile – i.e., 43% of its peers scored the same or lower than it.
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We're also able to compare this research output to 10,134 others from the same source and published within six weeks on either side of this one. This one has gotten more attention than average, scoring higher than 64% of its contemporaries.