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A Sequence of Piecewise Orthogonal Polynomials,
WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
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In this paper we study the construction of an orthogonal sequence of piecewise polynomials of degree k which is complete in L sub 2. We also study the sign-change properties of this sequence and consider the convergence of the corresponding Fourier series. The results generalize those obtained earlier for Walsh system. Keywords include Polynomial, Piecewise polynomial, Legendre polynomial, Series expansion, Orthonormal function.
APPROVED FOR PUBLIC RELEASE