Projective descriptions of spaces of functions and distributions

Bargetz, Christian; Nigsch, Eduard A.; Ortner, Norbert

doi:10.48550/arxiv.2109.14448

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2021

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“…From [34, Theorem 1.4] (cf. [2,15]), it follows that both inductive limits are regular and complete. Notice that…”

Section: 2mentioning

confidence: 86%

Characterisation of the Weyl-Hörmander classes by time-frequency shifts

Pilipović¹,

Prangoski²

2021

Preprint

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We characterise the Weyl-Hörmander symbol classes S(M, g) via the growth of the action of the corresponding ΨDOs on time-frequency shifts of a single test function. For this purpose, we introduce a geometric short-time Fourier transform which is well-suited for the analysis of S(M, g). We define new modulation spaces and achieve the characterisation of the Weyl-Hörmander classes by showing that they are intersections of such modulation spaces suitable for the time-frequency characterisation.

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“…From [34, Theorem 1.4] (cf. [2,15]), it follows that both inductive limits are regular and complete. Notice that…”

Section: 2mentioning

confidence: 86%