Abstract
Jean Baptiste Joseph Fourier (1768–1830), the son of a tailor, was orphaned at the age of eight and brought up and educated by the clergy. In 1790, at the age of 22, he was appointed as a professor at the Ecole Polytechnique, and in 1798, Napoleon took him on his campaign to Egypt.
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Notes
- 1.
These exercises are taken from the author’s short note [1] in Math. Student.
- 2.
Notice the “t” in the spelling of Schwartz’s name. The space is named after Laurent Schwartz (1915–2002), who is different from H.A. Schwarz (1848–1921) of the Cauchy–Schwarz inequality.
References
M. Ram Murty, A simple proof that \(\zeta (2)=\pi ^2/6\). Math. Student 88, 113–115 (2019)
W. Rudin, Real and Complex Analysis, 3rd edn. (McGraw-Hill, New York, 1987)
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Murty, M.R. (2015). Fourier Transforms. In: A Second Course in Analysis. HBA Lecture Notes in Mathematics(). Springer, Singapore. https://doi.org/10.1007/978-981-16-7246-0_3
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DOI: https://doi.org/10.1007/978-981-16-7246-0_3
Publisher Name: Springer, Singapore
Online ISBN: 978-981-16-7246-0
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