Whittaker Limits of Difference Spherical Functions
نویسنده
چکیده
1.2. The length on Ŵ 9 1.3. Reduction modulo W 9 1.4. More notations 11 1.5. Main definition 12 2. Polynomial representation 13 2.1. Macdonald polynomials 14 2.2. Symmetric polynomials 15 2.3. Using intertwiners 16 2.4. Spherical polynomials 18 2.5. The limit t → 0 19 3. Spherical and Whittaker functions 20 3.1. Gauss-type integrals 21 3.2. Global spherical function 22 3.3. Global Whittaker function 23 3.4. One-dimensional theory 26 3.5. Whittaker function for A1 28 4. Further topics 29 4.1. The case |q| > 1 30 4.2. Growth estimates 31 4.3. When k → ∞ 32 4.4. Jackson integrals 34 4.5. The special case ξ = −ρk 35 4.6. Taking the limit 36 References 38
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