By William R. Hamilton

The paper

appeared in the Transactions of the Royal Irish Academy, volume 19 (1843), pp. 264-321.On Fluctuating Functions

This paper is available in the following formats:

In this paper, Hamilton sets out to explain the validity of the
Fourier inversion formula by means of a principle which he calls
the *Principle of Fluctuation*. He also uses this
principle to obtain generalizations of the Fourier Inversion
Formula. He also considers the representation of periodic
functions by Fourier series, and discusses various applications
of Fourier analysis.

An abstract of Hamilton's paper On Fluctuating Functions was published in volume 1 of the Proceedings of the Royal Irish Academy (1841), pp. 475-477.

This abstract is available in the following formats:

Links:

D.R. Wilkins(

School of Mathematics

Trinity College, Dublin