Discrete harmonic analysis associated with Jacobi expansions I: The heat semigroup
نویسندگان
چکیده
منابع مشابه
Regularized traces and Taylor expansions for the heat semigroup
We study heat trace asymptotics for Schrödinger operators using commutator expansions due to Agmon-Kannai and Melin. Closed formulas for coefficients of the scattering phase asymptotics in the short-range case are presented. In the long-range case, following Melin, we consider regularized traces and compute coefficients in their asymptotic expansions. These can be thought of as heat invariants ...
متن کاملnew semigroup compactifications via the enveloping semigroups of associated flows
this thesis deals with the construction of some function algebras whose corresponding semigroup compactification are universal with respect to some properies of their enveloping semigroups. the special properties are of beigan a left zero, a left simple, a group, an inflation of the right zero, and an inflation of the rectangular band.
15 صفحه اولPeriodic Jacobi-Perron expansions associated with a unit
We prove that, for any unit in a real number fieldK of degree n+ 1, there exits only a finite number of n-tuples in K which have a purely periodic expansion by the Jacobi-Perron algorithm. This generalizes the case of continued fractions for n = 1. For n = 2 we give an explicit algorithm to compute all these pairs.
متن کاملSemigroup Expansions for Autobiographic
Semigroups (algebras of time) and their expansions (algebras of histories) are applied to problems of historical grounding and story-telling for situated agents.
متن کاملNoncommutative Harmonic Analysis on Semigroup and Ultracontractivity
We extend some classical results of Cowling and Meda to the noncommutative setting. Let (Tt)t>0 be a symmetric contraction semigroup on a noncommutative space Lp(M), and let the functions φ and ψ be regularly related. We prove that the semigroup (Tt)t>0 is φ-ultracontractive, i.e. ‖Ttx‖∞ ≤ Cφ(t)‖x‖1 for all x ∈ L1(M) and t > 0 if and only if its infinitesimal generator L has the Sobolev embeddi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2020
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2020.123996