Theorem distribution kernel (2 Ergebnisse)
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Taschenbuch. Zustand: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - High Quality Content by WIKIPEDIA articles! In mathematics, the T(1) theorem, first proved by David & Journé (1984), describes when an operator T given by a kernel can be extended to a bounded linear operator on the Hilbert space L2(Rn). T…he name T(1) theorem refers to a condition on the distribution T(1), given by the operator T applied to the function 1. Suppose that T is a continuous operator from Schwartz functions on Rn to tempered distributions, so that T is given by a kernel K which is a distribution. Assume that the kernel is standard, which means that off the diagonal it is given by a function satisfying certain conditions. Then the T(1) theorem states that T can be extended to a bounded operator on the Hilbert space L2(Rn) if and only if the following conditions are satisfied: T(1) is of bounded mean oscillation (where T is extended to an operator on bounded smooth functions, such as 1). T (1) is of bounded mean oscillation, where T is the adjoint of T. T is weakly bounded, a weak condition that is easy to verify in practice.
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Taschenbuch. Zustand: Neu. T(1) Theorem | Distribution (Mathematics), Kernel (Integral Operator) | Lambert M. Surhone (u. a.) | Taschenbuch | Englisch | 2026 | OmniScriptum | EAN 9786131156915 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: pr…eigu Print on Demand.
