Jacobi approximations in certain Hilbert spaces are investigated. Several weighted inverse inequalities and Poincare inequalities are obtained. Some approximation ŕesults are given. Singular differential equations are approximated by using Jacobi polynomials. This method keeps the spectral accuracy.
Hilbert Spaces of Holomorphic Dirichlet Series and Applications to Convolution Equations
✍ Scribed by Lê Hai Khôi
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 179 KB
- Volume
- 206
- Category
- Article
- ISSN
- 0022-247X
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✦ Synopsis
We consider Hilbert spaces of holomorphic Dirichlet series in bounded convex domains of C n and apply the results obtained to convolution equations to get the estimates between right-hand sides and particular solutions of such equations.
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