Author | Berg, Christian. author |
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Title | Potential Theory on Locally Compact Abelian Groups [electronic resource] / by Christian Berg, Gunnar Forst |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1975 |
Connect to | http://dx.doi.org/10.1007/978-3-642-66128-0 |
Descript | VIII, 200 p. online resource |
I. Harmonic Analysis -- ยง 1. Notation and Preliminaries -- ยง 2. Some Basic Results From Harmonic Analysis -- ยง 3. Positive Definite Functions -- ยง 4. Fourier Transformation of Positive Definite Measures -- ยง 5. Positive Definite Functions on ? -- ยง 6. Periodicity -- II. Negative Definite Functions and Semigroups -- ยง 7. Negative Definite Functions -- ยง 8. Convolution Semigroups -- ยง 9. Completely Monotone Functions and Bernstein Functions -- ยง 10. Examples of Negative Definite Functions and Convolution Semigroups -- ยง 11. Contraction Semigroups -- ยง 12. Translation Invariant Contraction Semigroups -- III. Potential Theory for Transient Convolution Semigroups -- ยง 13. Transient Convolution Semigroups -- ยง 14. Transient Convolution Semigroups on the Half-Axis and Integrals of Convolution Semigroups -- ยง 15. Convergence Lemmas and Potential Theoretic Principles -- ยง 16. Excessive Measures -- ยง 17. Fundamental Families Associated With Potential Kernels -- ยง 18. The Lรฉvy Measure for a Convolution Semigroup -- Symbols -- General Index