# Generalized Fourier integral formulas.

About: This article is published in Michigan Mathematical Journal.The article was published on 1953-01-01 and is currently open access. It has received 1 citation(s) till now. The article focuses on the topic(s): Sine and cosine transforms & Fourier sine and cosine series.

Topics: Sine and cosine transforms (80%), Fourier sine and cosine series (80%), Fourier series (74%), Fourier integral operator (72%), Fourier inversion theorem (71%)

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Abstract: Conditions are established under which a given class of objects in a topological category will have a Cartesian closed coreflective hull. The main theorem is used to discover new Cartesian closed topological categories and to unify a diversity of known special results. It also provides a mild criterion for the existence of Cartesian closed topological hulls.

31 citations