Solutions to the fractional Schrödinger equation on the Heisenberg group satisfy time-dependent Hardy space bounds via sub-Laplacian Fourier multipliers, and Bessel potential spaces correspond to Sobolev spaces on this group.
104 (1960), 93–140, DOI 10.1007/BF02547187
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
citation-role summary
background 1
citation-polarity summary
verdicts
UNVERDICTED 2roles
background 1polarities
background 1representative citing papers
Quantifies admissible Sobolev regularity for functions with zeros whose reciprocals are (p,q)-multipliers and refines Balian-Low uncertainty principles via connections to Gabor and shift-invariant systems.
citing papers explorer
-
Regularity of fractional Schr\"odinger equations and sub-Laplacian multipliers on the Heisenberg group
Solutions to the fractional Schrödinger equation on the Heisenberg group satisfy time-dependent Hardy space bounds via sub-Laplacian Fourier multipliers, and Bessel potential spaces correspond to Sobolev spaces on this group.
-
Uncertainty Principles for Fourier Multipliers
Quantifies admissible Sobolev regularity for functions with zeros whose reciprocals are (p,q)-multipliers and refines Balian-Low uncertainty principles via connections to Gabor and shift-invariant systems.