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Frames and Other Bases in Abstract and Function Spaces

Overview of attention for book
Cover of 'Frames and Other Bases in Abstract and Function Spaces'

Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    Chapter 1 Frames: Theory and Practice
  3. Altmetric Badge
    Chapter 2 Dynamical Sampling and Systems from Iterative Actions of Operators
  4. Altmetric Badge
    Chapter 3 Optimization Methods for Frame Conditioning and Application to Graph Laplacian Scaling
  5. Altmetric Badge
    Chapter 4 A Guide to Localized Frames and Applications to Galerkin-Like Representations of Operators
  6. Altmetric Badge
    Chapter 5 Computing the Distance Between Frames and Between Subspaces of a Hilbert Space
  7. Altmetric Badge
    Chapter 6 Sigma-Delta Quantization for Fusion Frames and Distributed Sensor Networks
  8. Altmetric Badge
    Chapter 7 Recent Progress in Shearlet Theory: Systematic Construction of Shearlet Dilation Groups, Characterization of Wavefront Sets, and New Embeddings
  9. Altmetric Badge
    Chapter 8 Numerical Solution to an Energy Concentration Problem Associated with the Special Affine Fourier Transformation
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    Chapter 9 A Frame Reconstruction Algorithm with Applications to Magnetic Resonance Imaging
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    Chapter 10 Frame Properties of Shifts of Prolate and Bandpass Prolate Functions
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    Chapter 11 Fast Fourier Transforms for Spherical Gauss-Laguerre Basis Functions
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    Chapter 12 Multiscale Radial Basis Functions
  14. Altmetric Badge
    Chapter 13 Orthogonal Wavelet Frames on Manifolds Based on Conformal Mappings
  15. Altmetric Badge
    Chapter 14 Quasi Monte Carlo Integration and Kernel-Based Function Approximation on Grassmannians
  16. Altmetric Badge
    Chapter 15 Construction of Multiresolution Analysis Based on Localized Reproducing Kernels
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    Chapter 16 Regular Sampling on Metabelian Nilpotent Lie Groups: The Multiplicity-Free Case
  18. Altmetric Badge
    Chapter 17 Parseval Space-Frequency Localized Frames on Sub-Riemannian Compact Homogeneous Manifolds
Attention for Chapter 7: Recent Progress in Shearlet Theory: Systematic Construction of Shearlet Dilation Groups, Characterization of Wavefront Sets, and New Embeddings
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  • Above-average Attention Score compared to outputs of the same age and source (64th percentile)

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Chapter title
Recent Progress in Shearlet Theory: Systematic Construction of Shearlet Dilation Groups, Characterization of Wavefront Sets, and New Embeddings
Chapter number 7
Book title
Frames and Other Bases in Abstract and Function Spaces
Published in
arXiv, January 2017
DOI 10.1007/978-3-319-55550-8_7
Book ISBNs
978-3-31-955549-2, 978-3-31-955550-8
Authors

Giovanni S. Alberti, Stephan Dahlke, Filippo De Mari, Ernesto De Vito, Hartmut Führ, Alberti, Giovanni S., Dahlke, Stephan, De Mari, Filippo, De Vito, Ernesto, Führ, Hartmut

X Demographics

X Demographics

The data shown below were collected from the profiles of 3 X users who shared this research output. Click here to find out more about how the information was compiled.
Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 5 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Denmark 1 20%
Unknown 4 80%

Demographic breakdown

Readers by professional status Count As %
Lecturer 1 20%
Student > Doctoral Student 1 20%
Professor 1 20%
Researcher 1 20%
Professor > Associate Professor 1 20%
Other 0 0%
Readers by discipline Count As %
Mathematics 3 60%
Unknown 2 40%
Attention Score in Context

Attention Score in Context

This research output has an Altmetric Attention Score of 2. 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 16 May 2016.
All research outputs
#14,261,557
of 22,869,263 outputs
Outputs from arXiv
#283,763
of 939,694 outputs
Outputs of similar age
#229,270
of 420,350 outputs
Outputs of similar age from arXiv
#5,127
of 16,542 outputs
Altmetric has tracked 22,869,263 research outputs across all sources so far. This one is in the 35th percentile – i.e., 35% of other outputs scored the same or lower than it.
So far Altmetric has tracked 939,694 research outputs from this source. They receive a mean Attention Score of 3.9. This one has gotten more attention than average, scoring higher than 65% of its peers.
Older research outputs will score higher simply because they've had more time to accumulate mentions. To account for age we can compare this Altmetric Attention Score to the 420,350 tracked outputs that were published within six weeks on either side of this one in any source. This one is in the 43rd percentile – i.e., 43% of its contemporaries scored the same or lower than it.
We're also able to compare this research output to 16,542 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.