Yuan Xu

Applied Mathematics · with Petrushev · 2001–2015

A researcher in the Science corpus: 16 papers; trusts 11 researchers and is trusted by 20 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 32 citations into it; #977 of 7,620 by trust here, #1,057 by citations
• Mathematical Physics — 18 citations into it; #8,528 of 8,562 by trust here, #6,594 by citations
• Numerical Analysis — 6 citations into it; #1,312 of 3,586 by trust here, #959 by citations

Whom Yuan Xu trusts overall

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

1. Pencho Petrushev
2. Francis J. Narcowich
3. Guido L. Weiss
4. Jan S. Hesthaven
5. Khalifa Trimeche
6. Feng Dai
7. M. Rösler
8. Charles F. Dunkl
9. Joseph D. Ward
10. S. Thangavelu

Who trusts Yuan Xu overall

1. Feng Dai
2. Pencho Petrushev
3. T. Coulhon
4. Dmitry V. Gorbachev
5. Gerard Kerkyacharian
6. Charles F. Dunkl
7. V. Ivanov
8. Francis J. Narcowich
9. Marcel de Jeu
10. Heping Wang

Papers from Yuan Xu's perspective

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

1. Littlewood-Paley Theory and the Study of Function Spaces
2. Decomposition of Besov Spaces
3. Nonlinear piecewise polynomial approximation beyond Besov spaces
4. Decomposition of weighted Triebel–Lizorkin and Besov spaces on the ball
5. An Introduction To The Uncertainty Principle
6. Holomorphic extensions of representations: (ii) geometry and harmonic analysis
7. SPECTRAL METHODS FOR TIME-DEPENDENT PROBLEMS.
8. Lp-Fourier multipliers for the Dunkl operator on the real line
9. Ten Lectures on Wavelets
10. Geometric Functional Analysis and Its Applications

Their papers

• Weighted Approximation of Functions on the Unit Sphere (2003) — 81 citations
• Orthogonal Polynomials of Several Variables: Preface to the Second Edition (2014) — 329 citations
• Analysis on h-Harmonics and Dunkl Transforms (2015) — 52 citations
• On Sobolev orthogonal polynomials (2014) — 175 citations
• Approximation Theory and Harmonic Analysis on Spheres and Balls (2013) — 579 citations
• Cubature Formulas on Spheres (2013) — 47 citations
• Discrete Fourier Analysis on Fundamental Domain and Simplex of Ad Lattice in d-Variables (2010) — 53 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 Polynomial Frames on the Interval with Jacobi Weights (2005) — 65 citations
• The heat kernel transform for the Heisenberg group (2004) — 60 citations
• Riesz transform and Riesz potentials for Dunkl transform (2004) — 127 citations
• Convolution operator and maximal function for the Dunkl transform (2004) — 304 citations
• Orthogonal Polynomials of Several Variables: Subject index (2001) — 278 citations
• Orthogonal Polynomials of Several Variables: Preface (2001) — 109 citations