Eigenfunction Expansions of Analytic Functions
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Publication:5574156
DOI10.2307/2036458zbMath0183.10102OpenAlexW4250094596MaRDI QIDQ5574156
Publication date: 1969
Full work available at URL: https://doi.org/10.2307/2036458
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Global hypoellipticity for first-order operators on closed smooth manifolds, Fourier multipliers, symbols, and nuclearity on compact manifolds, Eigenfunction expansions of ultradifferentiable functions and ultradistributions in \(\mathbb R^n\), Eigenfunction expansions of ultradifferentiable functions and ultradistributions. III: Hilbert spaces and universality, Gevrey functions and ultradistributions on compact Lie groups and homogeneous spaces, Subelliptic Gevrey spaces, Global functional calculus, lower/upper bounds and evolution equations on manifolds with boundary, Decompositions of Gelfand-Shilov kernels into kernels of similar class, Kernel and symbol criteria for Schatten classes and \(r\)-nuclearity on compact manifolds, Eigenfunction expansions of ultradifferentiable functions and ultradistributions. II. Tensor representations, Schatten classes on compact manifolds: kernel conditions, Beyond Wiener's lemma: nuclear convolution algebras and the inversion of digital filters, Global regularity and solvability of left-invariant differential systems on compact Lie groups, The Borel summable solutions of heat operators on a real analytic manifold, Eigenspaces of the Laplacian ; integral representations and irreducibility, Analytic continuation of the Fourier series on connected compact Lie groups, Eigenfunction expansions of ultradifferentiable functions and ultradistributions, Eigenfunction expansions in ℝⁿ, Remarks on Global Hypoellipticity, Anisotropic Shubin operators and eigenfunction expansions in Gelfand-Shilov spaces
Cites Work
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- Integro-Differential Operators on Vector Bundles
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