کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4667973 1345489 2007 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The Segal–Bargmann transform for the heat equation associated with root systems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
The Segal–Bargmann transform for the heat equation associated with root systems
چکیده انگلیسی

We study the heat equation associated to a multiplicity function on a root system, where the corresponding Laplace operator has been defined by Heckman and Opdam. In particular, we describe the image of the associated Segal–Bargmann transform as a space of holomorphic functions. In the case where the multiplicity function corresponds to a Riemannian symmetric space G/K of non-compact type, we obtain a description of the image of the space of K-invariant L2-function on G/K under the Segal–Bargmann transform associated to the heat equation on G/K, thus generalizing (and reproving) a result of B. Hall and J. Mitchell for spaces of complex type.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 208, Issue 1, 15 January 2007, Pages 422-437