Applications of the Funk–Hecke theorem to smoothing and trace estimates

Author:

Bez Neal,Saito Hiroki,Sugimoto Mitsuru

Funder

JSPS Kakenhi

Publisher

Elsevier BV

Subject

General Mathematics

Reference24 articles.

1. Banach spaces of solutions of the Helmholtz equation in the plane;Alvarez;J. Fourier Anal. Appl.,2001

2. Spherical Harmonics and Approximations to the Unit Sphere: An Introduction;Atkinson,2012

3. Weighted estimates for the Helmholtz equation and some applications;Barceló;J. Funct. Anal.,1997

4. On Turán type inequalities for modified Bessel functions;Baricz;Proc. Amer. Math. Soc.,2013

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1. Intermittent symmetry breaking and stability of the sharp Agmon–Hörmander estimate on the sphere;Proceedings of the American Mathematical Society;2022-10-19

2. Optimal Constants of Smoothing Estimates for the 2D Dirac Equation;Journal of Fourier Analysis and Applications;2022-07-01

3. Hardy type inequalities with spherical derivatives;SN Partial Differential Equations and Applications;2020-01-23

4. Explicit uniform bounds on integrals of Bessel functions and trace theorems for Fourier transforms;Mathematische Nachrichten;2018-08-22

5. Stability of Trace Theorems on the Sphere;The Journal of Geometric Analysis;2017-06-01

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