Kerkyacharian, Gerard; Petrushev, Pencho; Xu, Yuan Gaussian bounds for the weighted heat kernels on the interval, ball, and simplex. (English) Zbl 1447.35166 Constr. Approx. 51, No. 1, 73-122 (2020). MSC: 35K08 42C05 PDFBibTeX XMLCite \textit{G. Kerkyacharian} et al., Constr. Approx. 51, No. 1, 73--122 (2020; Zbl 1447.35166) Full Text: DOI arXiv
Ivanov, Kamen; Petrushev, Pencho; Xu, Yuan Decomposition of spaces of distributions induced by tensor product bases. (English) Zbl 1254.46037 J. Funct. Anal. 263, No. 5, 1147-1197 (2012). Reviewer: Hans Triebel (Jena) MSC: 46E35 42C15 PDFBibTeX XMLCite \textit{K. Ivanov} et al., J. Funct. Anal. 263, No. 5, 1147--1197 (2012; Zbl 1254.46037) Full Text: DOI arXiv
Kerkyacharian, G.; Petrushev, P.; Picard, D.; Xu, Yuan Decomposition of Triebel-Lizorkin and Besov spaces in the context of Laguerre expansions. (English) Zbl 1163.42010 J. Funct. Anal. 256, No. 4, 1137-1188 (2009). Reviewer: Som Prakash Goyal (Jaipur) MSC: 42C05 46F99 PDFBibTeX XMLCite \textit{G. Kerkyacharian} et al., J. Funct. Anal. 256, No. 4, 1137--1188 (2009; Zbl 1163.42010) Full Text: DOI arXiv
Petrushev, Pencho; Xu, Yuan Decomposition of spaces of distributions induced by Hermite expansions. (English) Zbl 1161.42305 J. Fourier Anal. Appl. 14, No. 3, 372-414 (2008). MSC: 42B35 42C15 PDFBibTeX XMLCite \textit{P. Petrushev} and \textit{Y. Xu}, J. Fourier Anal. Appl. 14, No. 3, 372--414 (2008; Zbl 1161.42305) Full Text: DOI arXiv