Pseudo-Differential Operators on ℤ

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How researchers see this paper

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Global quantization of pseudo-differential operators on compact Lie groups, SU(2), 3-sphere, and homogeneous spaces (2008, background): “We refer to [9, 10] for the historic development of this subject.”
Parametrix construction of the transition probability density of the solution to an SDE driven by $\alpha$-stable noise (2014, background): “[40], the original papers [29,55], and see also [32–34] for the detailed treatment).”
Quantization on Nilpotent Lie Groups (2016, methodology): “Recently in [MR15], Mantoiu and the second author developed a more general τ -quantization scheme on general locally compact unimodular type I groups, thus”
Nonharmonic Analysis of Boundary Value Problems (2015, background): “The latter approach has further, still ‘harmonic’ extensions, for example for the global analysis of pseudo-differential operators on the Heisenberg group [FR14b], graded Lie groups [FR13, FR14a, FR15], or general type I locally compact groups [MR15].”
Lp-maximal regularity of nonlocal parabolic equations and applications (2013, unknown): “Notice that if the Lévy symbol is smooth and its derivatives satisfy suitable conditions, the above characterization falls into the classical multiplier theorems about pseudo-differential operators (cf. 36,17]).”