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arXiv · 2606.27327

Gelfand-Shilov spaces and operators with ultradifferential weighted symbols on non-compact manifolds

Sandro Coriasco·Pedro Meyer Tokoro
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Abstract

We invariantly define Gelfand-Shilov spaces on classes of non-compact manifolds with a certain ``structure at infinity''. We also construct and study a global calculus of pseudodifferential operators on such manifolds, locally defined by symbols satisfying estimates associated with weight sequences. The operators so obtained act naturally on the previously defined Gelfand-Shilov spaces. These generalise analogous functional spaces and operators defined on Euclidean spaces.

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Sandro Coriasco, Pedro Meyer Tokoro. 2026-06-25. Gelfand-Shilov spaces and operators with ultradifferential weighted symbols on non-compact manifolds. https://arxiv.org/abs/2606.27327

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