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Multidimensional weighted Paley-Wiener spaces are Hilbert spaces?

How to rigorously demonstrate that multidimensional weighted Paley-Wiener spaces are Hilbert spaces? I am utilizing the exponential type definition established by Elias Stein in the book 'Fourier ...

fa.functional-analysis
fourier-analysis
harmonic-analysis
hilbert-spaces
complex-analytic-spaces

Vakos

asked Jan 6 at 17:42

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