Heat kernel estimates and L p -spectral theory of locally symmetric spaces

• Tác giả: Andreas Weber
• Ngôn ngữ: eng
• ISBN-13: 978-3866441088
• ISBN: KSP/1000005774
• Ký hiệu phân loại: 515.353 Partial differential equations
• Thông tin xuất bản: Karlsruhe : KIT Scientific Publishing, 2007
• Mô tả vật lý: 1 electronic resource (XII, 94 p. p.)
• Bộ sưu tập: Tài liệu truy cập mở
• ID: 233947

Tóm tắt

In this work we derive upper Gaussian bounds for the heat kernel on locally symmetric spaces of non-compact type. Furthermore, we determine explicitly the Lp-spectrum of locally symmetric spaces M whose universal covering is a rank one symmetric space of non-compact type if either the fundamental group of M is small (in a certain sense) or if the fundamental group is arithmetic and M is non-compact.