Results 11 to 20 of about 221 (156)
Asymptotic hyperfunctions, tempered hyperfunctions, and asymptotic expansions [PDF]
We introduce new subclasses of Fourier hyperfunctions of mixed type, satisfying polynomial growth conditions at infinity, and develop their sheaf and duality theory. We use Fourier transformation and duality to examine relations of these asymptotic and tempered hyperfunctions to known classes of test functions and distributions, especially the Gel′fand‐
Andreas U. Schmidt
doaj +4 more sources
Coroutining Folds with Hyperfunctions [PDF]
Fold functions are a general mechanism for computing over recursive data structures. First-order folds compute results bottom-up. With higher-order folds, computations that inherit attributes from above can also be expressed.
J. Launchbury +2 more
doaj +4 more sources
The Implementation of Infrared Thermography as Complementary Diagnostic Tool in Orthodontic Treatment Plan—Pilot Study [PDF]
Introduction: Infrared thermography (IRT) is a non-invasive, non-ionizing imaging modality capable of rapidly capturing surface temperature variation. In dentistry, particularly orthodontics and TMD evaluation, IRT may serve as a valuable complementary ...
André Brandão de Almeida +4 more
doaj +2 more sources
Hyperfunctions in A-model localization
We apply localization techniques to topologically A-twisted 𝒩 = (2, 2) supersymmetric theories of vector and chiral multiplets on S 2 and derive a novel exact formula for abelian observables, described by a distribution integrated along the real line ...
Emil Hakan Leeb-Lundberg
doaj +4 more sources
Hyperfunctions: Communicating Continuations
A hyperfunction is a continuation-like construction that can be used to implement communication in the context of concurrency. Though it has been reinvented many times, it remains somewhat obscure: since its definition by Launchbury et al., hyperfunctions have been used to implement certain algebraic effect handlers, coroutines, and breadth-first
Nicolas Wu, Donnacha Oisín Kidney
exaly +2 more sources
Generalized Hyperfunctions on the Circle
The author constructs an embedding of the space \({\mathcal B} (\mathbb{T})\) of hyperfunctions on the unit circle \(\mathbb{T}\) in a differential algebra \({\mathcal H}(\mathbb{T})\) whose elements are called generalized hyperfunctions. This allows one to define the product of two hyperfunctions without any restriction.
exaly +3 more sources
Criterion of Completeness and Submaximal Ultraclones for Linear Hyperfunctions of Rank 2
In recent years, the direction associated with the study of maps from a finite set A to the set of all subsets of the set A, including the empty one, has been intensively developing. Such mappings are called multifunctions on A, as well as hyperfunctions
I.K. Sharankhaev
doaj +1 more source
Negative Powers of Contractions Having a Strong AA+ Spectrum
Zarrabi proved in 1993 that if the spectrum of a contraction T on a Banach space is a countable subset of the unit circle 𝕋, and if limn→+∞log(‖T−n‖)n=0{\lim _{n \to + \infty }}{{\log \left( {\left\| {{T^{ - n}}} \right\|} \right)} \over {\sqrt n ...
Esterle Jean
doaj +1 more source
Operator calculus on the class of Sato’s hyperfunctions
We construct a functional calculus for generators of analytic semigroups of operators on a Banach space. The symbol class of the calculus consists of hyperfunctions with a compact support in $[0,\infty)$.
M.I. Patra, S.V. Sharyn
doaj +3 more sources
On Classes of Hyperfunctions of Rank 2 Generated by Maximal Multiclones
The research of multifunctions is a one of the directions in discrete function’s investigations. Multifunction is a discrete function from a finite set A to all subsets of A. The set of hyperfunctions is a subset of set of multifunctions.
A.S. Zinchenko, V.I. Panteleyev
doaj +1 more source

