Keywords
- Vector Field
- Fundamental Solution
- Precise Estimate
- Heat Kernel
- Real Hilbert Space
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References
Jerison, D., and A. Sanchez-Calle, Estimates for the heat kernel for a sum of squares of vector fields, Preprint.
Kusuoka, S., and D. Stroock, Applications of Malliavin calculus I, Stochastic Analysis, Proc. Taniguchi Internatl. Symp. Katata and Kyoto, 1982, ed. by K. Ito, pp. 271–306, Kinokuniya, Tokyo.
Kusuoka, S., and D. Stroock, Applications of Malliavin calculus II, J. Fac. Sci. Univ. Tokyo Sc. IA, 32(1985), 1–76.
Rothschild, L.P., and E.M. Stein, Hypoelliptic differential operators and nilpotent Lie groups, Acta Math. 137(1977), 247–320.
Sanchez-Calle, A., Fundamental solution and geometry of the sum of squares of vector field, Invent. Math. 78(1984), 143–160.
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© 1986 Springer-Verlag
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Kusuoka, S. (1986). Precise estimates for the fundamental solutions to some degenerate elliptic differential equations. In: Itô, K., Hida, T. (eds) Stochastic Processes and Their Applications. Lecture Notes in Mathematics, vol 1203. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076878
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DOI: https://doi.org/10.1007/BFb0076878
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-16773-0
Online ISBN: 978-3-540-39852-3
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