Inversions of Hermite Semigroup
Copyright policy )Inversions of Hermite Semigroup
Let { e − c H | c ⩾ 0 } \{ {e^{ - cH}}|c \geqslant 0\} be the Hermite semigroup on the real line R \mathbb {R} . Then a representation is constructed for inversions of the semigroup, and it gives a representation of e − c H {e^{ - cH}} for c > 0 c > 0 . Moreover, some characterizations of the domain in which, for c > 0 , e − c H c > 0,\;{e^{ - cH}} is well defined are examined.
Groups and semigroups of linear operators, Gaussian measure, One-parameter semigroups and linear evolution equations, Hermite semigroup on the real line, Kernel functions in one complex variable and applications, inversions
Groups and semigroups of linear operators, Gaussian measure, One-parameter semigroups and linear evolution equations, Hermite semigroup on the real line, Kernel functions in one complex variable and applications, inversions
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).10 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!