A Few Applications of Hilbert Spaces

Igor Kriz and Aleš Pultr
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Igor Kriz: University of Michigan, Department of Mathematics
Aleš Pultr: Charles University, Department of Applied Mathematics (KAM) Faculty of Mathematics and Physics

Chapter 17 in Introduction to Mathematical Analysis, 2013, pp 427-449 from Springer

Abstract: Abstract In the previous chapter we developed, with the help of analysis, an understanding of Hilbert (and Banach) spaces as a kind of satisfactory generalization of linear algebra to infinite-dimensional spaces. In particular, we developed modified notions of duals and bases which behave well in this situation.

Keywords: Hilbert Space; Compact Support; Integrable Function; Discrete Fourier Transformation; Simple Function (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-0636-7_17

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DOI: 10.1007/978-3-0348-0636-7_17

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