Volume: Publication Month and Year: Copyright Year: Page Count: Cover Type: Softcover. Print ISBN Online ISBN Print ISSN: Online ISSN: Primary MSC: 42 ; 05 ; Secondary MSC: 47 ; Applied Math?
MAA Book? Inquiry Based Learning? Electronic Media? Apparel or Gift: false. Online Price 1 Label: List. Online Price 1: Print Price 1 Label: List. Print Price 1: Fourier series in orthogonal polynomials. The case of orthogonality on the circle as a periodic case has been studied in sufficient detail, and the results of the approximation of periodic functions by trigonometric polynomials have been successfully used.
Using the formula for the coefficients,. These series are a natural generalization of Taylor series with respect to the orthogonality property in the case of a simply-connected domain, and serve as a representation of analytic functions. If the completeness condition. See also the state-of-the-art paper [a2] on the theory and [a1] on digital signal processing applications.
Log in. Namespaces Page Discussion. Views View View source History. Jump to: navigation , search. How to Cite This Entry: Orthogonal polynomials on a complex domain. Encyclopedia of Mathematics. This article was adapted from an original article by P.
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