Spectral Mapping Theorems for Essential Spectra.
Bernhard GRAMSCH, David LAY (1971)
Mathematische Annalen
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Bernhard GRAMSCH, David LAY (1971)
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C.M. Edwards (1974)
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Ioana Cioranescu (1976)
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D.C. LAY (1970)
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S. Kantorovitz, R.J. Hughes (1982)
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John N. WELCH (1971)
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C. Bidard, M. Zerner (1991)
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M.J.J. Lennon (1974)
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William C. Lyford (1978)
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William C. Lyford (1975)
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Błażej Wróbel (2013)
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Multivariate spectral multipliers for systems of Ornstein-Uhlenbeck operators are studied. We prove that -uniform, 1 < p < ∞, spectral multipliers extend to holomorphic functions in some subset of a polysector, depending on p. We also characterize L¹-uniform spectral multipliers and prove a Marcinkiewicz-type multiplier theorem. In the appendix we obtain analogous results for systems of Laguerre operators.
T.R. CHOW (1970)
Mathematische Annalen
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Irene Rousseau (2001)
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Mostafa Mbekhta, Jaroslav Zemánek (2007)
Banach Center Publications
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