A course in functional analysis (2nd edition), by John B. Conway. Pp 399. DM148. 1990. ISBN 0-387-97245-5 (Springer)

TL;DR: In this article, the authors considered the problem of non-uniform parabolic equations with diffusion in highly heterogeneous media and proved that the Holder norm of the solutions of the above nonuniform Parabolic equations in the connected high permeability subregion are bounded uniformly in ϵ.

TL;DR: In the functional analysis for linear operators, there are many types of useful methods, techniques and tools as mentioned in this paper, but for nonlinear operators, it seems that functional analysis does not have so many fundamental methods, though various types of fixed point theorems have been investigated.

TL;DR: In this paper, a spectral triple is constructed from which one can recover the associated conformal measure via a Dixmier trace for a particular class of Kleinian groups, which is called conformal graph directed Markov systems.

TL;DR: In this paper, the authors replace recent investigations into the context of an axiomatic setting, for which Beckenbach structures serve as models, by an alternative approach, and some new results (whose classical correspondences are well-known in Convex Geometry) are also presented.