Harmonic analysis of the space BV.

By Albert Cohen, Wolfgang Dahmen, Ingrid Daubechies, Ronald A. DeVore. 2003

186 citations recorded by the source corpus.

Subfields: Computer Vision and Pattern Recognition, Signal Processing

View Paper: https://www.semanticscholar.org/paper/8cf9839a6bed72302fb5b4e7dcc233e296b3ec27

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computer Vision and Pattern Recognition

1. Tony F. Chan
2. Jianhong Shen
3. Stanley J. Osher
4. Luminita A. Vese
5. Selim Esedoglu
6. Haim Brezis
7. Jean Bourgain
8. Baoxiang Wang

In Signal Processing

1. Tony F. Chan
2. Haim Brezis
3. Luminita A. Vese
4. Jianhong Shen
5. Stanley J. Osher
6. Daniel Cremers
7. Chunming Li
8. Lin F. Yang

Citations in the corpus

• H1/2 maps with values into the circle: Minimal Connections, Lifting, and the Ginzburg–Landau equation (2004, background): “1) When d = 2, this result is an immediate consequence of an interpolation result of Cohen, Dahmen, Daubechies and DeVore [23].”
• Gagliardo–Nirenberg inequalities and non-inequalities: The full story (2017, unknown): “…p 2 ∈ { 1 , ∞} ; see Section 5 below iii) The case 0 < s 1 < s 2 = 1, p 1 < 1 /s 1 , p 2 = 1 is treated by Cohen, Dahmen, Daubechies and DeVore [6] (with a proof involving again wavelets) iv) Inequality (1.10) holds when W s, is obtained by real or complex interpolation from W s 1 ,p 1 and W s…”
• Necessary and Sufficient Conditions for the Fractional Gagliardo-Nirenberg Inequalities and Applications to Navier-Stokes and Generalized Boson Equations (Harmonic Analysis and Nonlinear Partial Differential Equations) (2011, background): “3 below cover all of the available GN inequalities in [5, 9, 10, 15, 16, 17, 22, 25, 29, 30, 38, 42, 50, 52, 55] for both integer and fractional versions.”
• Variational PDE models in image processing (2002, methodology): “It has been shown that the wavelet technique is equivalent to an approximate optimal regularization in certain Besov spaces [ 23 ].”
• Necessary and Sucient Conditions for the Fractional Gagliardo-Nirenberg Inequalities and Applications to Navier-Stokes and Generalized Boson Equations (2011, background): “3 below cover all of the available GN inequalities in [5, 9, 10, 15, 16, 17, 22, 25, 29, 30, 38, 42, 50, 52, 55] for both integer and fractional versions.”
• The Jacobian determinant revisited (2011, result): “Related results also appeared in [14] and [13].”
• Lebesgue-Type Inequalities for Quasi-greedy Bases (2011, unknown): “Now choose A = ∪ 0≤j<n j even [2, 2) ∩ N, so that N := |A| ≈ 2.”