Decomposition of Spaces of Distributions Induced by Hermite Expansions
By Pencho Petrushev, Yuan Xu. 2007
64 citations recorded by the source corpus.
Decomposition systems with rapidly decaying elements (needlets) based on Hermite functions are introduced and explored. It is proved that the Triebel-Lizorkin and Besov spaces on ℝd induced by Hermite expansions can be characterized in terms of the needlet coefficients. It is also shown that the Hermite-Triebel-Lizorkin and Besov spaces are, in general, different from the respective classical spaces.
Subfields: Applied Mathematics, Finance
View Paper: https://www.semanticscholar.org/paper/ba832313825bafeacfb5b048082104f4a163be12
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In Applied Mathematics
- Gerard Kerkyacharian
- T. Coulhon
- Pencho Petrushev
- Yuan Xu
- Dominique Picard
- P. Auscher
- Daryl Geller
- Azita Mayeli
In Finance
Citations in the corpus
- Heat Kernel Generated Frames in the Setting of Dirichlet Spaces (2012, methodology): “This simple fact has been utilized for construction of frames on the sphere [42], on the interval with Jacobi weights [47], on the ball [48], and in the context of Hermite [49] and Laguerre [34] expansions.”