" This volume contains the expanded lecture notes of courses taught at the Emile Borel
Centre of the Henri Poincaré Institute (Paris). In the book, leading experts introduce recent …

Estimates of heat kernels on Riemannian manifolds Page 154 Estimates of heat kernels on
Riemannian manifolds Alexander Grigor'yan Imperial College London SW7 2BZ England email …

Limits on Lp Regularity of Self-Adjoint Elliptic Operators Page 1 Journal of Differential Equations
DE3219 journal of differential equations 135, 83 102 (1997) Limits on Lp Regularity of …

Let m∈ N m∈N, P (D):=∑| α|= 2 m (− 1) ma α D α P(D):=∑_|α|=2m(-1)^ma_αD^α be a 2 m
2m‐order homogeneous elliptic operator with real constant coefficients on R n R^n, and VV …

Let P (D) be a nonnegative homogeneous elliptic operator of order 2m with real constant
coefficients on R n and V be a suitable real measurable function. In this paper, we are …

Repeated convolution of a probability measure on leads to the central limit theorem and
other limit theorems. This paper investigates what kinds of results remain without positivity. It …

Let L be a one-to-one operator of type ω having a bounded H∞ functional calculus and
satisfying the k-Davies-Gaffney estimates with k∈ ℕ. In this paper, the authors introduce the …

Spectral multipliers for Markov chains Page 1 J. Math. Soc. Japan Vol. 56, No. 3, 2004 Spectral
multipliers for Markov chains By Georgios K. Alexopoulos (Received Feb. 13, 2001) (Revised …

Abstract Let α> 0, H=(− Δ) α+ V (x), V (x) belongs to the higher order Kato class K 2 α (R n).
For 1≤ p≤∞, we prove a polynomial upper bound of‖ e− it H (H+ M)− β‖ L p, L p in terms …

For a class of post–critically finite (pcf) fractals, which includes the Sierpinski gasket (SG),
there is a satisfactory theory of analysis due to Kigami, including energy, harmonic functions …