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Off-Diagonal Short Time Expansion of the Heat Kernel on a Certain Nilpotent Lie Group

Uemura, Hideaki京都大学 (Kyoto University)1989

kyoto Repository record for Off-Diagonal Short Time Expansion of the Heat Kernel on a Certain Nilpotent Lie Group (opens in a new tab)

Θεωρία προσέγγισης με νόρμες του Lorentz πάνω σε ομάδες του Lie

Τυχόπουλος, Ευάγγελος, Tychopoulos, EvangelosNational Technical University of Athens (NTUA)1990

… Δ-A/Z acting on functions which are defined on nilpotent Lie groups. When the heat Kernel PT(N) is defined on a general nilpotent Lie group the estimate depends on the value of T i.e. is different for small and large T, hence the need to introduce the new Lorentz spaces which are development in …

greece Repository record for Θεωρία προσέγγισης με νόρμες του Lorentz πάνω σε ομάδες του Lie (opens in a new tab)

Geometric mapping theory of the Heisenberg group, sub-Riemannian manifolds, and hyperbolic spaces

Lukyanenko, AntonUniversity of Illinois at Urbana-Champaign2014

We discuss the Heisenberg group $\Heis^n$ and its mappings from three perspectives. As a nilpotent Lie group, $\Heis^n$ can be viewed as a generalization of the real numbers, leading to new notions of base-$b$ expansions and continued fractions. As a metric space, $\Heis^n$ serves as an …

uiuc Repository record for Geometric mapping theory of the Heisenberg group, sub-Riemannian manifolds, and hyperbolic spaces (opens in a new tab)