The Selberg trace formula and Selberg zeta-function for cocompact discrete subgroups of SO+(1,n)

Selberg trace formulae for heat and wave

Selberg trace formulae for heat and wave kernels of Maass Laplacians on compact forms of the complex hyperbolic space Hn(C), n⩾2

✍ Khadija Ayaz; Ahmed Intissar 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 213 KB

We establish explicit forms of Selberg trace formulae for heat and wave kernels of the Maass Laplacians D k on compact forms of the complex hyperbolic space H n (C), n 2. This was possible by establishing first an explicit general Selberg trace formula for automorphic kernels of weight k in H n (C)