Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

INTEGRAL KERNELS ON COMPLEX SYMMETRIC SPACES AND FOR THE DYSON BROWNIAN MOTION

Abstract : In this article, we consider flat and curved Riemannian symmetric spaces in the complex case and we study their basic integral kernels, in potential and spherical analysis: heat, Newton, Poisson kernels and spherical functions, i.e. the kernel of the spherical Fourier transform. We introduce and exploit a simple new method of construction of these W-invariant kernels by alternating sums. We then use the alternating sum representation of these kernels to obtain their asymptotic behavior. We apply our results to the Dyson Brownian Motion on R d .
Document type :
Preprints, Working Papers, ...
Complete list of metadata

https://hal.archives-ouvertes.fr/hal-01789322
Contributor : Piotr Graczyk Connect in order to contact the contributor
Submitted on : Friday, December 18, 2020 - 11:17:54 AM
Last modification on : Wednesday, November 3, 2021 - 9:18:40 AM

File

PGPS_MN.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01789322, version 2

Collections

Citation

Piotr Graczyk, P Sawyer. INTEGRAL KERNELS ON COMPLEX SYMMETRIC SPACES AND FOR THE DYSON BROWNIAN MOTION. 2020. ⟨hal-01789322v2⟩

Share

Metrics

Record views

126

Files downloads

66