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...

Every topological group is a topological semigroup. Analytic semigroup – Type of strongly continuous semigroup Compact group – Topological group with compact...

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...

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

(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...

Monogenic semigroup, in mathematics, a semigroup generated by a set containing only a single element Monogenic signal, in the theory of analytic signals...

( 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...

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

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

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

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...

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...

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...

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...

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

master's degree in 1965, and Ph.D. in 1968 under George Mackey with thesis Semigroup Product Formulas and Addition of Unbounded Operators. At the University...

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 −...

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

maximal cone. A similar decomposition already occurs in the semigroup. The oscillator semigroup of Roger Howe concerns the special case of this theory for...

triangular 3 × 3 matrices with nonnegative integer entries generates a free semigroup. Determining whether two finitely generated subsemigroups of integer matrices...

In quantum field theory, the Wightman distributions can be analytically continued to analytic functions in Euclidean space with the domain restricted to...

MR 0609040. Yosida, K. (1981). "Some aspects of E. Hille's contributions to semigroup theory". Integral Equations Operator Theory. 4 (3): 311–329. doi:10.1007/BF01697968...

a = 0, if h is analytic on the unit disk, fixes 0, and 0 < |h′(0)| < 1, then Gabriel Koenigs showed in 1884 that there is an analytic (non-trivial) Ψ...

Helton, J. William (1978). "Orbit structure of the Mobius transformation semigroup action on H-infinity (broadband matching)". Adv. Math. Suppl. Stud. 3:...

prime number theorem and disjointness of additive and multiplicative semigroup actions. Duke Mathematical Journal, 171(15), 3133-3200. Avigad, Jeremy;...

course titles. Abstract analytic number theory The study of arithmetic semigroups as a means to extend notions from classical analytic number theory. Abstract...

structures with a single binary operation are: Magma Quasigroup Monoid Semigroup Group Examples involving several operations include: Ring Field Module...