Orthogonal expansions and their continuous analogues
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Orthogonal expansions and their continuous analogues proceedings of the conference held at Southern Illinois University, Edwardsville, April 27-29, 1967. by

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Published by Southern Illinois University Press in Carbondale .
Written in English

Subjects:

  • Orthogonal polynomials.,
  • Fourier series.

Book details:

Edition Notes

Includes bibliographies.

StatementEdited by Deborah Tepper Haimo.
ContributionsHaimo, Deborah Tepper, ed., Southern Illinois University at Edwardsville.
Classifications
LC ClassificationsQA404.5 .O7 1967
The Physical Object
Paginationxx, 307 p.
Number of Pages307
ID Numbers
Open LibraryOL5606605M
LC Control Number68013860

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Conference on Orthogonal Expansions and Their Continuous Analogues Audio Collection, , Archives of American Mathematics, Dolph Briscoe Center for American History, University of Texas at Austin. Return to the Table of Contents. Orthogonal is a science fiction trilogy by Australian author Greg Egan taking place in a universe where, rather than three dimensions of space and one of time, there are four fundamentally identical dimensions. While the characters in the novels always perceive three of the dimensions as space and one as time, this classification depends entirely on their state of motion, and the . The NIST handbook [9, §] contains a section on the q-Hahn class but we recommend the book [5] for a more detailed collection of these discrete orthogonal polynomials on a q-lattice. Richard Allen Hunt (16 June – 22 March ) was an American graduated from Washington University in St. Louis in with a dissertation entitled Operators acting on Lorentz important result of Hunt () states that the Fourier expansion of a function in L p, p > 1, converges almost everywhere. The case p=2 is due to Lennart Carleson, Authority control: ISNI: .

This analogue is a matrix extension of Theorem in Chapter 1 (for the scalar case.) The proof of the analogue relies on an identity in [KL2], but also makes essential use of a special discretization and the results of Chapters 6 and 7. Examples of the continuous analogues of orthogonal polynomials are given in Section Author: Robert L. Ellis, Israel Gohberg.   Without a lot of detail, we begin with an example that indicates how these ideas apply to initial boundary value problems in PDEs. The key question, as we observe, is whether a function f(x) can be expanded in a linear combinations of ‘basis’ functions, analogous to expanding a vector in terms of orthogonal basis we see why this question arises. '[Fourier Analysis: Volume l - Theory is] fabulous Constantin structures his exercise sets beautifully, I think: they are abundant and long, covering a spectrum of levels of difficulty; each set is followed immediately by a section of hints (in one-one correspondence); finally the hints sections are followed by very detailed and well-written solutions (also bijectively). Review of the first edition:‘This book is the first modern treatment of orthogonal polynomials of several real variables. It presents not only a general theory, but also detailed results of recent research on generalizations of various classical cases.'Cited by:

Earlier, at the book exhibits of the meeting of the American Mathematical Society in San Fransisco, I was looking at Jones and Thron's new book on continued fractions, when Bill Jones approached. He told me of the new development of “orthogonal Laurent polynomials” which arise from Thron's “T-fractions”.Cited by: 3. This is illustrated by their relation to orthogonal polynomials on the unit circle [16,50], which generalize standard Fourier expansions beyond the Lebesgue measure on the unit circle. Introduction to real functions and orthogonal expansions, (University texts in the mathematical sciences) Unknown Binding – January 1, by Béla Szőkefalvi-Nagy (Author) See all 2 formats and editions Hide other formats and editions. Price New from Used from Author: Béla Szőkefalvi-Nagy. Zygmund's book was greatly expanded in its second publishing in , however. Articles referred to in the text. Paul du Bois-Reymond, "Ueber die Fourierschen Reihen", Nachr. Kön. Ges. Wiss. Göttingen 21 (), – This is the first proof that the Fourier series of a continuous function might diverge. In German.