One-dimensional double Hecke algebras and Gaussians

2000/03/02 by Ivan Cherednik, Cherednik, Ivan
Mathematics · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #Mathematical Analysis and Transform Methods #Quantum Algebra (math.QA) #math.QA

paper · pdf · doi:10.48550/arxiv.math/0003017

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arxiv created 2000/03/02 · openalex publication_date 2000/03/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We use one-dimensional double affine Hecke algebras to introduce q-counterparts of the Gauss integrals and new types of Gauss-Selberg sums at roots of unity.

Citations

• From Double Hecke algebra to analysis

Related

• From Double Hecke algebra to analysis
• From Double Hecke algebra to Fourier transform
• Double Affine Hecke Algebras and Difference Fourier Transforms
• Introduction to double Hecke algebras
• Double affine Hecke algebras at roots of unity