Search Results - Derivatives of functions in infinite-dimensional spaces

Second derivatives of convex functions in the sense of A. D. Aleksandrov on infinite-dimensional spaces with measure by Bogachev, V. I., Goldys, B.

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Scalar Lagrange Multiplier Rules for Set-Valued Problems in Infinite-Dimensional Spaces by Rodríguez-Marín, Luis, Sama, Miguel

“…This paper deals with Lagrange multiplier rules for constrained set-valued optimization problems in infinite-dimensional spaces, where the multipliers appear as scalarization functions of the maps…”
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Solutions and anti-periodic solutions for impulsive differential equations and inclusions containing Atangana-Baleanu fractional derivative of order $ \zeta \in (1, 2) $ in infinite dimensional Banach spaces by Nuwairan, Muneerah Al, Ibrahim, Ahmed Gamal

“…) $. We also derived the exact relations between these fractional boundary value problems and the corresponding fractional integral equations in infinite dimensional Banach spaces…”
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Nonlocal impulsive differential equations and inclusions involving Atangana-Baleanu fractional derivative in infinite dimensional spaces by Nuwairan, Muneerah Al, Ibrahim, Ahmed Gamal

“… in an infinite dimensional Banach spaces. Existence results for solutions in the presence of instantaneous or non-instantaneous impulsive effect are given…”
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Spaces of smooth functions and distributions on infinite-dimensional compact groups by Bendikov, A., Saloff-Coste, L.

“…Several scales of smooth functions are introduced in the setting of connected infinite-dimensional compact groups…”
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Nonsmooth Lyapunov pairs for infinite-dimensional first-order differential inclusions by Adly, S., Hantoute, A., Théra, M.

“…The main objective of this paper is to provide new explicit criteria to characterize weak lower semicontinuous Lyapunov pairs or functions associated to first-order differential inclusions in Hilbert spaces…”
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Optimizing quantitative photoacoustic imaging systems: the Bayesian Cramér–Rao bound approach by Scope Crafts, Evan, Anastasio, Mark A, Villa, Umberto

“…Quantitative photoacoustic computed tomography (qPACT) is an emerging medical imaging modality that carries the promise of high-contrast, fine-resolution…”
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The infinite dimensional Evans function by Latushkin, Yuri, Pogan, Alin

“… We then construct an infinite dimensional Evans function for abstract differential equations as a 2-modified Fredholm determinant of the operator obtained by adding the values at zero…”
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Banach manifold structure and infinite-dimensional analysis for causal fermion systems by Finster, Felix, Lottner, Magdalena

“… Fréchet-smooth Riemannian metric. The so-called expedient differential calculus is introduced with the purpose of treating derivatives of functions on Banach spaces which are differentiable only in certain directions…”
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The Stability and Stabilization of Infinite Dimensional Caputo-Time Fractional Differential Linear Systems by Zitane, Hanaa, Boutoulout, Ali, Torres, Delfim F. M.

“…We investigate the stability and stabilization concepts for infinite dimensional time fractional differential linear systems in Hilbert spaces with Caputo derivatives…”
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Dynamics Identification in Evolution Models Using Radial Basis Functions by Merger, Juri, Borzì, Alfio

“… Moreover, the infinite dimensional function space, where the unknown function is sought, is discretized by suitable radial basis functions that are chosen such that optimal approximation results are obtained…”
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Bounded below composition operators on the space of Bloch functions on the unit ball of a Hilbert space by Miralles, Alejandro

“…Let B E be the open unit ball of a complex finite or infinite dimensional Hilbert space E and consider the space B ( B E…”
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Evolution equations with fractional Gross Laplacian and Caputo time fractional derivative by Ghanmi, Abdeljabbar, Horrigue, Samah

“…In this paper, we consider the evolution equations with fractional Gross Laplacian and generalized Caputo time fractional deravitive in infinite dimensional space of entire functions with growth condition…”
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Lipschitz continuity of the dilation of Bloch functions on the unit ball of a Hilbert space and applications by Miralles, Alejandro

“…Let B E be the open unit ball of a complex finite- or infinite-dimensional Hilbert space…”
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Multiple and weak Markov properties in Hilbert spaces with applications to fractional stochastic evolution equations by Kirchner, Kristin, Willems, Joshua

“… T⊆R and taking values in a real and separable Hilbert space U. We furthermore investigate the relations…”
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A Characterization of the Hardy Space Associated with the Dunkl Transform by Wei, Haihua, Liao, Jianquan, Li, Zhongkai

“…For p ≥ p 0 : = 2 λ / ( 2 λ + 1 ) with λ > 0 , the Hardy space H λ p ( R + 2 ) associated with the Dunkl transform F λ…”
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Derivative-Informed Neural Operator: An efficient framework for high-dimensional parametric derivative learning by O'Leary-Roseberry, Thomas, Chen, Peng, Villa, Umberto, Ghattas, Omar

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Deterministic multi-level algorithms for infinite-dimensional integration on R N by Niu, Ben, Hickernell, Fred J., Müller-Gronbach, Thomas, Ritter, Klaus

“…Pricing a path-dependent financial derivative, such as an Asian option, requires the computation of E ( g ( B…”
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Spectral Approximation of Infinite-Dimensional Black-Scholes Equations with Memory by Chang, Mou-Hsiung, Youree, Roger K.

“…). Under the smoothness assumption of the payoff function, it is shown that the infinite dimensional Black-Scholes equation possesses a unique classical solution…”
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Spectral Geometry of Partial Differential Operators by Ruzhansky, Michael, Sadybekov, Makhmud, Suragan, Durvudkhan

“…The present is an attempt to collect a number of properties emerging in the recent research describing certain features of the theory of partial differential…”
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