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Causal functional calculus [PDF]
Transactions of the London Mathematical Society, 2019 We construct a new topology on the space of stopped paths and introduce a calculus for causal functionals on generic domains of this space. We propose a generic approach to pathwise integration without any assumption on the variation index of a path and ...
H. Chiu, R. Cont
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Vector–valued functional calculus for a convolution algebra of distributions on cone [PDF]
Математичні Студії, 2011 For {the} Fourier image $widehat{D}'_Gamma$ of {the} algebra $D'_Gamma$ of the distributions with supports on {a}cone $Gamma$ the functional calculus for generators of$n$--parametric $(C_o)$--semigroups of operators is determined.
O. V. Lopushansky +2 more
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Functional analysis and exterior calculus on mixed-dimensional geometries [PDF]
Annali di Matematica Pura ed Applicata, 2020 We are interested in differential forms on mixed-dimensional geometries, in the sense of a domain containing sets of d -dimensional manifolds, structured hierarchically so that each d -dimensional manifold is contained in the boundary of one or more $$d +
Wietse M. Boon +2 more
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Uniqueness of Taylor’s functional calculus [PDF]
Proceedings of the American Mathematical Society, 1983 Two uniqueness results concerning Fréchet module structures over algebras of holomorphic functions defined on some complex manifolds are presented, containing as particular cases uniqueness theorems for J. L. Taylor’s analytic functional calculi for commuting n n -tuples of linear continuous operators on Fréchet spaces [7], [9]. Namely,
Mihai Putinar
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Compositional Changes and Comparative Analysis of Oral Microbial Community During the Formation of Canine Dental Calculus [PDF]
AnimalsPeriodontal disease remains a prevalent clinical condition in dogs, significantly impacting the quality of life of affected animals. Dental calculus is closely associated with periodontal disease, primarily because it serves as a reservoir for dental ...
Liwei Zeng +7 more
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Operator-Lipschitz estimates for the singular value functional calculus [PDF]
, 2015 We consider a functional calculus for compact operators, acting on the singular values rather than the spectrum, which appears frequently in applied mathematics.
Фредрик Андерссон +2 more
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Axially Harmonic Functions and the Harmonic Functional Calculus on the S-spectrum [PDF]
Journal of Geometric Analysis, 2022 The spectral theory on the S-spectrum was introduced to give an appropriate mathematical setting to quaternionic quantum mechanics, but it was soon realized that there were different applications of this theory, for example, to fractional heat diffusion ...
F. Colombo +3 more
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Properties of a polyanalytic functional calculus on the S‐spectrum [PDF]
Mathematische Nachrichten, 2022 The Fueter mapping theorem gives a constructive way to extend holomorphic functions of one complex variable to monogenic functions, that is, null solutions of the generalized Cauchy–Riemann operator in R4$\mathbb {R}^4$ , denoted by D$\mathcal {D ...
A. De Martino, S. Pinton
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Maximal Hörmander Functional Calculus on L p Spaces and UMD Lattices [PDF]
International mathematics research notices, 2022 Let $A$ be a generator of an analytic semigroup having a Hörmander functional calculus on $X = L^p(\Omega ,Y)$, where $Y$ is a UMD lattice. Using methods from Banach space geometry in connection with functional calculus, we show that for Hörmander ...
L. Deleaval, C. Kriegler
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Slice monogenic functions of a Clifford variable via the $S$-functional calculus
Proceedings of the American Mathematical Society, 2021 In this paper we define a new function theory of slice monogenic functions of a Clifford variable using the S S -functional calculus for Clifford numbers.
F. Colombo +3 more
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