Amid the chaos of revolutionary France, one man’s mathematical obsession gave way to a calculation that now underpins much of ...

It is shown that the Fourier coefficients of functions of $\Lambda$-bounded variation, $\Lambda = \{\lambda_n\}$, are $O(\lambda_n/n)$. This was known for $\lambda_n ...

AT the thirty-second session of the Indian Science Congress, held at Nagpur in 1945, Dr. B. N. Prasad, president of the Section of Mathematics and Statistics, delivered an address on the summability ...

THE theory of functions of a real variable is a subject of fairly recent date and is necessarily expanding as new theorems are discovered and fresh generalisations effected. On the other hand, the ...

Transactions of the American Mathematical Society, Vol. 218 (Apr., 1976), pp. 61-87 (27 pages) The main result is an Lp mean convergence theorem for the partial sums of the Fourier series of a class ...

Jean-Baptiste Joseph Fourier, French mathematician and physicist, was born in Auxerre, 251 years ago today. He is best known for the mathematical techniques that he developed in his analytical theory ...