The Functions of a Reproducing Kernel Hilbert Space

Antonio F. Gualtierotti
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Antonio F. Gualtierotti: University of Lausanne, HEC and IDHEAP

Chapter Chapter 2 in Detection of Random Signals in Dependent Gaussian Noise, 2015, pp 125-215 from Springer

Abstract: Abstract The functions of an RKHS, that is, the signals one works with, may not be easy to handle per se. In those cases, it may sometimes be useful to know that they belong to spaces in which computation may be easier, such as L 2 spaces. This chapter deals with such questions. The correspondence between RKHS’s and other spaces of functions follows naturally from the construction of (Proposition) 1.1.15.

Keywords: Reproducing Kernel; Reproducing Kernel Hilbert Space; Infinite Measure; Interval Mapping; Hahn-Jordan Decomposition (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/978-3-319-22315-5_2

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