Abstract
Chapter 1 is devoted to a self-contained elementary presentation of classical Fourier analysis results. Even though none of the results are new, some of the proofs that we present are not the standard ones and are likely to be useful in other contexts. We also pay attention to the construction of explicit examples which illustrate the optimality of some refined estimates.
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© 2011 Springer-Verlag Berlin Heidelberg
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Bahouri, H., Chemin, JY., Danchin, R. (2011). Basic Analysis. In: Fourier Analysis and Nonlinear Partial Differential Equations. Grundlehren der mathematischen Wissenschaften, vol 343. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16830-7_1
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DOI: https://doi.org/10.1007/978-3-642-16830-7_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-16829-1
Online ISBN: 978-3-642-16830-7
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