Pencho Petrushev

Applied Mathematics · 2001–2014

A researcher in the Science corpus: 11 papers; trusts 13 researchers and is trusted by 13 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 19 citations into it; #1,213 of 7,620 by trust here, #950 by citations
• Mathematical Physics — 9 citations into it; #2,376 of 8,562 by trust here, #1,567 by citations
• Numerical Analysis — 6 citations into it; #2,475 of 3,586 by trust here, #2,430 by citations
• Statistics and Probability — 5 citations into it; #10,678 of 12,932 by trust here, #11,487 by citations

Whom Pencho Petrushev trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Yuan Xu
2. Francis J. Narcowich
3. Guido L. Weiss
4. Ingrid Daubechies
5. Joseph D. Ward
6. Ole W. Christensen
7. Hans Triebel
8. Ronald A. DeVore
9. Gavin Brown
10. George Kyriazis

Who trusts Pencho Petrushev overall

1. T. Coulhon
2. Yuan Xu
3. Gerard Kerkyacharian
4. Daryl Geller
5. Azita Mayeli
6. George Kyriazis
7. Francis J. Narcowich
8. Ricardo H. Nochetto
9. I. Castillo
10. Charles F. Dunkl

Papers from Pencho Petrushev's perspective

Ordered by how strongly the researchers Pencho Petrushev trusts endorse each paper. Same corpus, a different order for every researcher.

1. Littlewood-Paley Theory and the Study of Function Spaces
2. Ten Lectures on Wavelets
3. Theory of Function Spaces III
4. Geometric Functional Analysis and Its Applications
5. An introduction to frames and Riesz bases
6. Wavelets
7. Weighted Approximation of Functions on the Unit Sphere
8. Localized Tight Frames on Spheres (SIAM Journal on Mathematical Analysis)
9. Decomposition of Besov Spaces
10. Nonlinear piecewise polynomial approximation beyond Besov spaces

Their papers

• Nonlinear piecewise polynomial approximation beyond Besov spaces (2003) — 59 citations
• Irregular sampling of band-limited functions on the sphere (2014) — 60 citations
• Heat Kernel Generated Frames in the Setting of Dirichlet Spaces (2012) — 112 citations
• Decomposition of weighted Triebel–Lizorkin and Besov spaces on the ball (2007) — 57 citations
• Decomposition of Spaces of Distributions Induced by Hermite Expansions (2007) — 64 citations
• Localized Polynomial Frames on the Ball (2006) — 80 citations
• Localized Tight Frames on Spheres (2006) — 325 citations
• Decomposition of Besov and Triebel–Lizorkin spaces on the sphere (2006) — 176 citations
• Localized Polynomial Frames on the Interval with Jacobi Weights (2005) — 65 citations
• Approximation Classes for Adaptive Methods (2002) — 89 citations
• New bases for Triebel-Lizorkin and Besov spaces (2001) — 50 citations