DTIC ADA1005608: A Sequence of Piecewise Orthogonal pdf

DTIC ADA1005608: A Sequence of Piecewise Orthogonal

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This paper considers a sequence of piecewise linear orthogonal functions (U sub i) which is complete in L sub 2. Explicit expressions for the U sub i are given. Any continuous function can be expanded in a series of constant multiples of functions U sub i under the sense of uniform convergence by group. While the partial sum of the corresponding expression for a continuous function may fail to converge uniformly, a certain subsequence does. (Author

• Creator/s: Defense Technical Information Center
• Date: 5/1/1981
• Year: 1981
• Book Topics/Themes: DTIC Archive, Feng, Y Y, WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER, *FUNCTIONS, *POLYNOMIALS, *ORTHOGONALITY, *SEQUENCES(MATHEMATICS), *FOURIER ANALYSIS, LINEAR SYSTEMS, TWO DIMENSIONAL, CONVERGENCE, VECTOR SPACES, THEOREMS, WALSH FUNCTIONS

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