A mathematical theorem stating that a PERIODIC function f(x) which is reasonably continuous may be expressed as the sum of a series of sine or cosine terms (called the Fourier series), each of which ...

THE present book by one of the earliest workers in the subject treated in it promises to become a standard work. In some 190 pages it gives an account of the fundamental theorems dealing with almost ...

The Canadian Journal of Statistics / La Revue Canadienne de Statistique Using Fourier series expansions of functions of one and two variables, we find the variances of the sample mean for random and ...

This is a preview. Log in through your library . Abstract A simple growth condition is found for the Fourier coefficients of continuous 1-periodic functions of bounded k-entropy norm. This growth ...

This book presents a treatment of the theory of L-functions developed by means of the theory of Eisenstein series and their Fourier coefficients, a theory which is usually referred to as the Langlands ...