Discrete Harmonic Analysis Associated with Jacobi Expansions II: the Riesz Transform
نویسندگان
چکیده
منابع مشابه
Divergent Cesàro and Riesz means of Jacobi and Laguerre expansions
We show that for δ below certain critical indices there are functions whose Jacobi or Laguerre expansions have almost everywhere divergent Cesàro and Riesz means of order δ.
متن کاملRiesz transform characterization of H1 spaces associated with certain Laguerre expansions
In this paper we prove Riesz transform characterizations for Hardy spaces associated with certain systems of Laguerre functions.
متن کاملThe Riesz Transform, Rectifiability, and Removability for Lipschitz Harmonic Functions
We show that, given a set E ⊂ Rn+1 with finite n-Hausdorff measure Hn, if the n-dimensional Riesz transform
متن کاملFrames , Riesz Bases , and Discrete Gabor / Wavelet Expansions
This paper is a survey of research in discrete expansions over the last 10 years, mainly of functions in L 2 (R). The concept of an orthonormal basis {fn}, allowing every function f ∈ L 2 (R) to be written f = cnfn for suitable coefficients {cn}, is well understood. In separable Hilbert spaces, a generalization known as frames exists, which still allows such a representation. However, the coeff...
متن کاملA Fast Analysis-Based Discrete Hankel Transform Using Asymptotic Expansions
A fast and numerically stable algorithm is described for computing the discrete Hankel transform of order 0 as well as evaluating Schlömilch and Fourier–Bessel expansions in O(N(logN)2/ loglogN) operations. The algorithm is based on an asymptotic expansion for Bessel functions of large arguments, the fast Fourier transform, and the Neumann addition formula. All the algorithmic parameters are se...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Potential Analysis
سال: 2021
ISSN: 0926-2601,1572-929X
DOI: 10.1007/s11118-021-09925-0