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Fourier-Bessel expansions with general boundary conditions

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Analysis of Divergence

Part of the book series: Applied and Numerical Harmonic Analysis ((ANHA))

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Abstract

We find necessary and suficient conditions for the pointwise convergence of the radial eigenfunctions expansion of the p-dimensional Laplace operator in a ball, where we prescribe either Dirichlet, Neumann or Robin conditions on the boundary.

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References

  1. A. Gray and M. Pinsky, Gibbs’ phenomenon for Fourier-Bessel series, Expositiones Mathematicae, 11(1993), 123–135.

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  2. M. Pinsky, Pointwise Fourier inversion and related eigenfunction expansions, Communications in Pure and Applied Mathematics, 47(1994), 653–681.

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  3. M. Pinsky, “Partial Differential Equations and Boundary-Value Problems with Applications”, Second Edition, Mc Graw Hill, Inc. 1991.

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  4. G. N. Watson, “A Treatise on the Theory of Bessel Functions”,Second Edition, Cambridge University Press, 1958.

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  5. A. Friedman, Partial Differential Equations of Parabolic Type, Prentice Hall, 1964.

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  6. P. Hsu, Seminar on Stochastic Processes, Birkhauser Boston 1986, pp. 108–116

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  7. W. O. Bray and M. Pinsky, Pointwise Fourier inversion on rank-one symmetric spaces and related topics, Journal of Functional Analysis 15(1997) 306–334.

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© 1999 Birkhäuser Boston

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Pinsky, M.A. (1999). Fourier-Bessel expansions with general boundary conditions. In: Bray, W.O., Stanojević, Č.V. (eds) Analysis of Divergence. Applied and Numerical Harmonic Analysis. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-2236-1_9

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  • DOI: https://doi.org/10.1007/978-1-4612-2236-1_9

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-1-4612-7467-4

  • Online ISBN: 978-1-4612-2236-1

  • eBook Packages: Springer Book Archive

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