Abstract
This lesson contains the essential tools for putting into practice integral computations: It is the Lebesgue version of integral calculus. We present rules for manipulating integrals that depend on a parameter. In particular, we discuss continuity and derivation with a view toward applications to the Fourier transform. The lesson also contains the formulas for changing variables and the rules for interchanging the order of integration in double integrals, the celebrated Fubini’s theorem.
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© 1999 Springer Science+Business Media New York
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Gasquet, C., Witomski, P. (1999). Integral Calculus. In: Fourier Analysis and Applications. Texts in Applied Mathematics, vol 30. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1598-1_14
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DOI: https://doi.org/10.1007/978-1-4612-1598-1_14
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-7211-3
Online ISBN: 978-1-4612-1598-1
eBook Packages: Springer Book Archive