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Everything about Riesz function
Mathematical function
In mathematics, the Riesz function is an entire function defined by Marcel Riesz in connection with the Riemann hypothesis, by means of the power series Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Riesz functionA 5-minute orientation
- Skim a recent paper: Riesz Transform Characterization of Hardy Spaces Associated with Ball Quasi-Banach Function SpacesInfluential work since 2022
- Pick up a classic book: Lorentz-Karamata spaces, Bessel and Riesz potentials and embeddingsThe most-reprinted book on the subject
- Read the landmark paper: Poisson integrals and Riesz transforms for Hermite function expansions with weightsCited 88 times
- Go sideways: Liouville functionA closely related topic
- Go sideways: Mertens functionA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
Poisson integrals and Riesz transforms for Hermite function expansions with weights
Riesz transforms for multi-dimensional Laguerre function expansions
A superharmonic proof of the M. Riesz conjugate function theorem
Riesz transforms and conjugacy for Laguerre function expansions of Hermite type
Square function estimates for the Bochner–Riesz means
Riesz transforms and g-function for Laguerre expansions
Maximal function and Riesz potential on p-adic linear spaces
Riesz Potential and Maximal Function for Dunkl transform
🆕 Influential since 2022
Riesz Transform Characterization of Hardy Spaces Associated with Ball Quasi-Banach Function Spaces
Pair correlation function of the one-dimensional Riesz gas
Bilinear Bochner–Riesz Square Function and Applications
Riesz–Kolmogorov Type Compactness Criteria in Function Spaces with Applications
Maximal Function and Riesz Transform Characterizations of Hardy Spaces Associated with Homogeneous Higher Order Elliptic Operators and Ball Quasi-Banach Function Spaces
📚 Books worth reading
- 📕Lorentz-Karamata spaces, Bessel and Riesz potentials and embeddingsJ. S. Neves · 2002
- 📕Basisity of eigenvectors of Kreĭn space operatorsLaura Smithies · 1991
Narrow operators on function spaces and vector latticesMykhaĭlo Mykhaĭlovych Popov · 2013
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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