A Short Course on Operator Semigroups

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The $H^\infty$ functional calculus based on the $S$-spectrum for quaternionic operators and for $n$-tuples of noncommuting operators (2015, unknown): “We recall that some classical results on groups and semigroups of linear operators (see [26, 28, 31, 37]) have been extended to the quaternionic setting in some recent papers.”
A semigroup approach to nonlinear Lévy processes (2017, background): “er, (S(t)f)t≥0 is the solution of the abstract Cauchy problem ∂tu(t) = Au(t), t>0, with u(0) = f∈ BUC(Rd). For a detailed discussion on operator semigroups we refer to Pazy [23] or Engel and Nagel [9]. We ﬁrst extend the well-known relation between L´evy processes and Markovian convolution semigr”
Coagulation, fragmentation and growth processes in a size structured population (2009, unknown): “Following [15], we define the operator Φλf = eλ r < β, f > 1− < β, reλ > .”
Semigroups for flows in infinite networks (2008, methodology): “The tools needed from semigroup theory can be found in [8] or [9].”