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• W2962807652 abstract "The notion of invariant operators, or Fourier multipliers, is discussed for densely defined operators on Hilbert spaces, with respect to a fixed partition of the space into a direct sum of finite-dimensional subspaces. As a consequence, given a compact manifold M endowed with a positive measure, we introduce a notion of the operator’s full symbol adapted to the Fourier analysis relative to a fixed elliptic operator E. We give a description of Fourier multipliers, or of operators invariant relative to E. We apply these concepts to study Schatten classes of operators on L2(M) and to obtain a formula for the trace of trace class operators. We also apply it to provide conditions for operators between Lp-spaces to be r-nuclear in the sense of Grothendieck." @default.
• W2962807652 created "2019-07-30" @default.
• W2962807652 creator A5014446077 @default.
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• W2962807652 date "2018-06-01" @default.
• W2962807652 modified "2023-10-10" @default.
• W2962807652 title "Fourier multipliers, symbols, and nuclearity on compact manifolds" @default.
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• W2962807652 doi "https://doi.org/10.1007/s11854-018-0052-9" @default.
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