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In mathematics, an analytic semigroup is particular kind of strongly continuous semigroup. Analytic semigroups are used in the solution of partial differential...

In mathematical analysis, a C0-semigroup, also known as a strongly continuous one-parameter semigroup, is a generalization of the exponential function...

functions and zeta functions in classical analytic number theory to the context of an arbitrary arithmetic semigroup which may satisfy one or more additional...

operation is continuous. Every topological group is a topological semigroup. Analytic semigroup Compact group – Topological group with compact topology Complete...

( t ) {\displaystyle -A(t)} is the infinitesimal generator of an analytic semigroup the equation is said to be of parabolic type. The problem of finding...

(u^{0},t)={\mbox{e}}^{t\Delta _{D}}u^{0},} where exp(tΔD) is the (analytic) semigroup generated by ΔD. Again, let Ω be a subdomain (bounded or not) of...

representation leads to a semigroup of contraction operators, introduced as the oscillator semigroup by Roger Howe in 1988. The semigroup had previously been...

holomorphic univalent self-mappings of the unit disk, called a Loewner semigroup. This semigroup corresponds to a time dependent holomorphic vector field on the...

In mathematics, a numerical semigroup is a special kind of a semigroup. Its underlying set is the set of all nonnegative integers except a finite number...

polynomial, an alternate name for monic polynomial Monogenic semigroup, in mathematics, a semigroup generated by a set containing only a single element Monogenic...

{\displaystyle X,} forms a regular semigroup called the semigroup of all partial transformations (or the partial transformation semigroup on X {\displaystyle X} )...

easy to see that this generates a semigroup in some sense—it is not absolutely integrable and so cannot define a semigroup in the above strong sense. Many...

transformation semigroup or symmetric semigroup on X. (One can actually define two semigroups depending how one defines the semigroup operation as the...

theorem and this notation is used more generally in semigroup theory. The cogenerator of the semigroup is the contraction defined by T = ( A + I ) ( A −...

for various times are collectively referred to as a quantum dynamical semigroup—a family of quantum dynamical maps ϕ t {\displaystyle \phi _{t}} on the...

Cagliari in 1987, and moved to Parma in 1994. Lunardi is the author of Analytic semigroups and optimal regularity in parabolic problems (Birkhäuser, 1995, reprinted...

ISBN 978-3-642-15563-5, MR 2777530, Zbl 1217.46002. Lunardi, Alessandra (1995), Analytic semigroups and optimal regularity in parabolic problems, Basel: Birkhäuser Verlag...

representation as dilations of a univalent holomorphic mapping, or a semigroup of mappings, of the unit disk in the complex numbers into itself. Let...

In algebra, the bicommutant of a subset S of a semigroup (such as an algebra or a group) is the commutant of the commutant of that subset. It is also...

semi-algebraic systems in computer algebra Regular semigroup, related to the previous sense *-regular semigroup Borel regular measure Cauchy-regular function...