cover image: Six Lectures on recent Researches in the theory of Fourier Series

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Six Lectures on recent Researches in the theory of Fourier Series

1928

said its length as well ray the printing of the names of the authors of important results in thick lidselZ typo i* @spoofed to make up for the absence of indices of name* and subject*. [...] PAGES L. Stat. ti of the corrivergence problem in the tli,eory of Fourier scrie, at the end of the century . [...] § 1. 1. To. day's lecture is intended to be of a historical and introductory character, and I shall begin it by giving you an idea of the state of the convergence problem in the theory of Fourier's series at the end of the UM century. [...] 16, k being positive nutlibenil independent of § 3 5. I will give you an idea of what may be called the convergence defecto of the FoamierIn dries of 0, ountiliniing function ; the dufdot hying the ahNeoce of ontinary 1. onvorgerice ise na point or poitit. ,, or of uniform convert:0. 330o ill anti-interval of the interval in which the series is convergent or the whole of thut interval Four questium [...] a the failure of Lrebisegoe's criterion for the ntronia- bnity (01) of the Fourier merles of a function at a point where the faactioa has a discanting Ely of the second kind'' lawfiefirt of the Colvaifn Affilhertoricat Elocirfy.
history
Pages
153
Published in
India
SARF Document ID
sarf.100014
Segment Pages Author Actions
Frontmatter
i-xiv Ganesh Prasad view
First Lecture Introductory
1-16 unknown view
Second Lecture Various Criteria for Convergency at a Point or in an Interval
17-38 unknown view
Third Lecture Convegence Defects
39-56 unknown view
Fourth Lecture Cesaro Summability
57-84 unknown view
Fifth Lecture Strong Summability
85-104 unknown view
Sixth Lecture Properties of Fouriee Co-Efficients; Question of Uniqueenees of Fourier Expangion; and Other Questions
105-131 unknown view
Appendices
132-139 unknown view

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