Difference Fourier transforms for nonreduced root systems
英文摘要：
In the first part of the paper kernels are constructed which meromorphically extend the Macdonald-Koornwinder polynomials in their degrees. In the second part of the paper the kernels associated with rank one root systems are used to define nonsymmetric variants of the spherical Fourier transform on the quantum SU(1,1) group. Related Plancherel and inversion formulas are derived using double affine Hecke algebra techniques.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
