Uncertainty principles of Heisenberg type for the Bargmann transform
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DOI: 10.1007/s13370-021-00924-3
Abstract: In this work, we introduce a family of weighted Bergman spaces $$\{{\mathcal {A}}_{\alpha ,n}\}_{n\in {\mathbb {N}}}$$ . This family satisfies the continuous inclusions $${\mathcal {A}}_{\alpha ,n}\subset \cdots \subset {\mathcal {A}}_{\alpha ,2}\subset {\mathcal {A}}_{\alpha ,1}\subset {\mathcal… read more here.
Keywords: space; uncertainty; mathcal alpha; heisenberg type ... See more keywords
Feeling the heat in a group of Heisenberg type
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DOI: 10.1016/j.aim.2021.107635
Abstract: In this paper we use the heat equation in a group of Heisenberg type $\mathbb{G}$ to provide a unified treatment of the two very different extension problems for the time independent pseudo-differential operators $\mathscr L^s$… read more here.
Keywords: heisenberg type; heat group; feeling heat; group heisenberg ... See more keywords