29 citations · 42 across the 9 of their papers we have counts for
10 papers
Decay of Fourier transforms and analytic continuation of power-constructible functions
Georges Comte, Dan J. Miller, Tamara Servi
For a subfield K of C, we denote by C^K the category of algebras of functions defined on the globally subanalytic sets that are generated by all K-powers and logarithms of positive…
Integration of Oscillatory and Subanalytic Functions
Raf Cluckers, Georges Comte, Daniel J. Miller +2
We prove the stability under integration and under Fourier transform of a concrete class of functions containing all globally subanalytic functions and their complex exponentials.…
Bounding the decay of oscillatory integrals with a constructible amplitude function and a globally subanalytic phase function
Raf Cluckers, Daniel J. Miller
We call a function "constructible" if it has a globally subanalytic domain and can be expressed as a sum of products of globally subanalytic functions and logarithms of positively-…
Lebesgue classes and preparation of real constructible functions
Raf Cluckers, Daniel J. Miller
We call a function constructible if it has a globally subanalytic domain and can be expressed as a sum of products of globally subanalytic functions and logarithms of positively-va…
Polygonal equalities and virtual degeneracy in -spaces
Casey Lynn Kelleher, Daniel Miller, Trenton Osborn +1
Suppose and that is a measure space for which is at least two-dimensional. The central results of this paper provide a complete description of…
Strongly non embeddable metric spaces
Casey Lynn Kelleher, Daniel Miller, Trenton Osborn +1
Enflo constructed a countable metric space that may not be uniformly embedded into any metric space of positive generalized roundness. Dranishnikov, Gong, Lafforgue and Yu modified…