Eigenfunction expansions of ultradifferentiable functions and ultradistributions
Copyright policy )Eigenfunction expansions of ultradifferentiable functions and ultradistributions
In this paper we give a global characterisation of classes of ultradifferentiable functions and corresponding ultradistributions on a compact manifold X X . The characterisation is given in terms of the eigenfunction expansion of an elliptic operator on X X . This extends the result for analytic functions on compact manifolds by Seeley in 1969, and the characterisation of Gevrey functions and Gevrey ultradistributions on compact Lie groups and homogeneous spaces by the authors (2014).
- École Polytechnique Fédérale de Lausanne EPFL Switzerland
- Imperial College London United Kingdom
- Ghent University Belgium
Gevrey spaces, Topological linear spaces of test functions, distributions and ultradistributions, ultradistributions, SPACES, Functional Analysis (math.FA), Mathematics - Functional Analysis, Analysis on real and complex Lie groups, Mathematics and Statistics, Komatsu classes, FOS: Mathematics
Gevrey spaces, Topological linear spaces of test functions, distributions and ultradistributions, ultradistributions, SPACES, Functional Analysis (math.FA), Mathematics - Functional Analysis, Analysis on real and complex Lie groups, Mathematics and Statistics, Komatsu classes, FOS: Mathematics
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