Abstract
In this Chapter we introduce some fundamental concepts of the theory of operators in a Hilbert space, and then focus of the properties of random samples in the space L 2 of square integrable functions. The space L 2 is sufficient to handle most procedures considered in this book. We also present a few technical results that fit into the framework considered in this chapter, and are used in subsequent chapters.
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© 2012 Springer Science+Business Media New York
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Horváth, L., Kokoszka, P. (2012). Hilbert space model for functional data. In: Inference for Functional Data with Applications. Springer Series in Statistics, vol 200. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-3655-3_2
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DOI: https://doi.org/10.1007/978-1-4614-3655-3_2
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Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4614-3654-6
Online ISBN: 978-1-4614-3655-3
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