Diffusion polynomial frames on metric measure spaces

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Orthonormal bases of regular wavelets in spaces of homogeneous type (2011, background): “2 PASCAL AUSCHER AND TUOMAS HYTÖNEN the (quasi-)metric of the underlying space; some other generalizations from the point-of-view of abstract approximation spaces, as in [26], are yet another story.”
Wavelets on Graphs via Spectral Graph Theory (2009, unknown): “Maggioni and Mhaskar have developed a theory of “diffusion polynomial frames” [36] that is closely related to the present work, in a more general quasi-metric measure space setting.”
Quadrature rules and distribution of points on manifolds (2010, background): “We would like to thank the referee for some useful suggestions and especially for bringing to our attention the papers [14] and [27], which have led us to improve the original draft, in particular Corollary 2.”
A Quadrature Formula for Diffusion Polynomials Corresponding to a Generalized Heat Kernel (2010, methodology): “The superiority of this method over traditional least squares in certain aspects was also observed in [24] in the context of semi–supervised learning of hand–written digits.”
Applications of classical approximation theory to periodic basis function networks and computational harmonic analysis (2013, unknown): “, [39].”