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Topics of Measure Theory on Infinite Dimensional Spaces
José Velhinho
This short review is devoted to measures on infinite dimensional spaces. We start by discussing product measures and projective techniques. Special attention is paid to measures on…
Comments on mathematical aspects of the Biró-Néda model
Ilda Inácio, José Velhinho
We address two mathematical aspects of the Biró--Néda dynamical model, recently applied in the statistical analysis of several and varied complex phenomena. First, we show that a g…
Canonical Quantization of the Scalar Field: The Measure Theoretic Perspective
José Velhinho
This review is devoted to measure theoretical methods in the canonical quantization of scalar field theories. We present in some detail the canonical quantization of the free scala…
Fock quantization of a Klein-Gordon field in the interior geometry of a nonrotating black hole
Jerónimo Cortez, Beatriz Elizaga Navascués, Guillermo A. Mena Marugán +2
We study the canonical quantization of a scalar field in a Kantowski-Sachs spacetime. For simplicity, we consider compactified spatial sections, since this does not affect the ultr…