Abstract
H. Cart an introduced Hilbert space methods into the study of Newtonian potential theory in the 1940’s [2,3]. Many of his results were generalized immediately to symmetric translation invariant potential theories in R d by Deny [5], and most of the results are valid for general symmetric Markov processes.
Research of the first author supported in part by NSA and NSF by grant MDA904-89-H-2037
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References
Blumenthal, R.M. and Getoor, R.K. Markov Processes and Potential Theory Academic Press, New York (1968).
Cartan, H. Sur les fondements de la théorie du potentiel. Bull. Soc. Math. France 69 71–96 (1941).
Cartan, H. Théorie du potentiel newtonien: énergie, capacité, suites de potentiels. Bull. Soc. Math. France 73 74–106 (1945).
Conte, S.D.. and De Boor, C. Elementary Numerical Analysis: An Algorithmic Approach McGraw-Hill, New York (1980).
Deny, J. Les potentiels d’énergie finie. Acta Math. 82 107–183 (1950).
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© 1992 Springer Science+Business Media New York
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Glover, J., Rao, M. (1992). Potential Densities of Symmetric Lévy Processes. In: Çinlar, E., Chung, K.L., Sharpe, M.J., Fitzsimmons, P.J., Port, S., Liggett, T. (eds) Seminar on Stochastic Processes, 1991. Progress in Probability, vol 29. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0381-0_5
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DOI: https://doi.org/10.1007/978-1-4612-0381-0_5
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