Results 1 to 10 of about 600 (183)
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
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On Classes of Hyperfunctions of Rank 2 Generated by Maximal Multiclones [PDF]
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
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Ulam Problem for the Cosine Addition Formula in Sato Hyperfunctions [PDF]
We prove the Ulam problem for the cosine addition formula in the spaces of Schwartz distributions and Sato hyperfunctions with respect to bounded distributions and bounded hyperfunctions.
Jaeyoung Chung, Soon-Yeong Chung
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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
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Operator calculus on the class of Sato’s hyperfunctions [PDF]
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
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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
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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
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Stability of Trigonometric Functional Equations in Generalized Functions
We consider the Hyers-Ulam stability of a class of trigonometric functional equations in the spaces of generalized functions such as Schwartz distributions, Fourier hyperfunctions, and Gelfand generalized functions.
Jeongwook Chang, Jaeyoung Chung
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Generic Fibrational Induction [PDF]
This paper provides an induction rule that can be used to prove properties of data structures whose types are inductive, i.e., are carriers of initial algebras of functors.
Neil Ghani +2 more
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Stability of Quartic Functional Equations in the Spaces of Generalized Functions
We consider the general solution of quartic functional equations and prove the Hyers-Ulam-Rassias stability. Moreover, using the pullbacks and the heat kernels we reformulate and prove the stability results of quartic functional equations in the spaces ...
Chung Soon-Yeong, Lee Young-Su
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