Abstract
This chapter deals with the basic parts of calculus, i.e., with differentiation of distributions, multiplication of distributions with smooth functions and with other distributions, and change of variables for distributions. There are other parts which will be addressed in separate chapters since they play a prominent role in distribution theory, viz., Fourier transform for a distinguished subclass of distributions and convolution of distributions with functions and with other distributions.
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© 2003 Springer Science+Business Media New York
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Blanchard, P., Brüning, E. (2003). Calculus for Distributions. In: Mathematical Methods in Physics. Progress in Mathematical Physics, vol 26. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0049-9_4
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DOI: https://doi.org/10.1007/978-1-4612-0049-9_4
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6589-4
Online ISBN: 978-1-4612-0049-9
eBook Packages: Springer Book Archive