Seminar on Stochastic Processes, 1991 pp 53-58 | Cite as
Potential Densities of Symmetric Lévy Processes
Chapter
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.
Keywords
Hilbert Space Markov Process Finite Group Positive Measure Dominate Convergence Theorem
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References
- [1]Blumenthal, R.M. and Getoor, R.K. Markov Processes and Potential Theory Academic Press, New York (1968).MATHGoogle Scholar
- [2]Cartan, H. Sur les fondements de la théorie du potentiel. Bull. Soc. Math. France 69 71–96 (1941).MathSciNetGoogle Scholar
- [3]Cartan, H. Théorie du potentiel newtonien: énergie, capacité, suites de potentiels. Bull. Soc. Math. France 73 74–106 (1945).MathSciNetMATHGoogle Scholar
- [4]Conte, S.D.. and De Boor, C. Elementary Numerical Analysis: An Algorithmic Approach McGraw-Hill, New York (1980).MATHGoogle Scholar
- [5]Deny, J. Les potentiels d’énergie finie. Acta Math. 82 107–183 (1950).MathSciNetMATHCrossRefGoogle Scholar
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© Springer Science+Business Media New York 1992