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Cauchy Integral Decomposition of Multi-Vector Valued Functions on Hypersurfaces

✍ Scribed by Ricardo Abreu Blaya, Juan Bory Reyes…


Book ID
120887985
Publisher
Springer-Verlag
Year
2005
Tongue
English
Weight
269 KB
Volume
5
Category
Article
ISSN
1617-9447

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On the evaluation of Cauchy principal va
✍ Haiyong Wang; Shuhuang Xiang 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 409 KB

The problem of the numerical evaluation of Cauchy principal value integrals of oscillatory functions 1 -1 e iωx f (x) x-τ dx, where -1 < τ < 1, has been discussed. Based on analytic continuation, if f is analytic in a sufficiently large complex region G containing [-1, 1], the integrals can be tran