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1 
Über positive FourierIntegraleMathias, Maximilian, January 1900 (has links)
Thesis (doctoral)FriedrichWilhelms Universität zu Berlin, 1922. / Vita. Includes bibliographical references.

2 
On the represenation of a function by a trigonometric series ...Manning, Edward Payson, January 1894 (has links)
Thesis (Ph. D.)Johns Hopkins University, 1894. / Biographical sketch.

3 
A generalization of the finite Fourier transformation and applicationsRoettinger, Ida, January 1900 (has links)
Part of ThesisUniversity of Michigan. / "Reprinted from Quarterly of applied mathematics, vol. V, no. 3, October, 1947.

4 
On the represenation of a function by a trigonometric series ...Manning, Edward Payson, January 1894 (has links)
Thesis (Ph. D.)Johns Hopkins University, 1894. / Biographical sketch.

5 
A convergence equivalence for trigonometric seriesTan, JiakKoon January 1971 (has links)
Let Wn be the n th partial sum of a Walsh series. There is a necessary and sufficient condition for pointwise convergence of the sequence
W₂n , (n = 0, 1, 2,…), namely, [ Formulas omitted ]
The aim of this thesis is to formulate and discuss a similar convergence equivalence for trigonometric series. / Science, Faculty of / Mathematics, Department of / Graduate

6 
A problem in depleted fourier seriesGreer, Edison. January 1938 (has links)
Call number: LD2668 .T4 1938 G71

7 
Classroom notes: Summing sequences having mixed signsFay, TH, Walls, GL 11 June 2003 (has links)
Summary
A result is discussed which permits the summing of series whose terms have
more complicated sign patterns than simply alternating plus and minus. The
Alternating Series Test, commonly taught in beginning calculus courses, is a corollary. This result, which is not difficult to prove, widens the series summable
by beginning students and paves the way for understanding more advanced
questions such as convergence of Fourier series. An elementary exposition is
given of Dirichlet’s Test for the convergence of a series and an elementary
example suitable for a beginning calculus class and a more advanced example
involving a Fourier series which is appropriate for an advanced calculus class
are provided. Finally, two examples are discussed for which Dirichlet’s Test
does not apply and a general procedure is given for deciding the convergence or
divergence of these and similar examples.

8 
Fourier series and elliptic functionsFay, TH 31 July 2003 (has links)
Summary
Nonlinear secondorder differential equations whose solutions are the
elliptic functions sn(t, k), cn(t, k) and dn(t, k) are investigated. Using Mathematica,
high precision numerical solutions are generated. From these data, Fourier
coefficients are determined yielding approximate formulas for these nonelementary
functions that are correct to at least 11 decimal places. These
formulas have the advantage over numerically generated data that they are
computationally efficient over the entire real line. This approach is seen as
further justification for the early introduction of Fourier series in the undergraduate
curriculum, for by doing so, models previously considered hard or
advanced, whose solution involves elliptic functions, can be solved and plotted
as easily as those models whose solutions involve merely trigonometric or other
elementary functions.

9 
Basic Fourier TransformsCumbie, James Randolph 01 1900 (has links)
The purpose of this paper is to develop some of the more basic Fourier transforms which are the outgrowth of the Fourier theorem. Although often approached from the standpoint of the series, this paper will approach the theorem from the standpoint of the integral.

10 
Fundamental Properties of Fourier SeriesHubbard, Geogre U. 08 1900 (has links)
This thesis is intended as an introduction to the study of one type of trigonometric series, the Fourier series.

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