Unformatted text preview: ` 2 norm of the sequence of terms of its Fourier series. 3. Exercise 38.22. Note that I’ve been using h f, g i 2 in class to indicate the L 2 inner product of f and g , whereas Wilcox & Myers use f · g to mean the same thing. Also, there’s a typo in the statement of the problem: the ﬁrst terms in the Fourier series for f and g should be a 2 and α 2 , and not a 2 2 and α 2 2 . Comment: This is just the L 2 analogue of the usual way we compute inner products (dot products) in R n by summing the products of the components. 4. Exercise 38.27. 1...
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 Spring '08
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 Math, Vector Space, Dot Product, Hilbert space, normed linear space, Wilcox & Myers

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