A generalization of the orthogonality relations of Green functions
β Scribed by T. A. Springer
- Publisher
- Springer-Verlag
- Year
- 1994
- Tongue
- English
- Weight
- 815 KB
- Volume
- 116
- Category
- Article
- ISSN
- 0020-9910
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π SIMILAR VOLUMES
Suppose that m(ΞΎ ) is a trigonometric polynomial with period 1 satisfying m(0) = 1 and |m(ΞΎ , is related to the zeros of m(ΞΎ ). In 1995, A. Cohen and R. D. Ryan, "Wavelets and Multiscale Signal Processing," Chapman & Hall, proved that if m(ΞΎ ) has no zeros in [-1 6 , 1 6 ], then Ο(x) is an orthogon
The concept of orthogonality in normed linear spaces has been studied extensively by BIRKHOFF [3], JAMES IS], [7], [8], and the present authors [l], 151, among others. The most natural notion of orthogonality arises in the case where there is an inner product (-, -) compatible with the norm 11. 11 o