Výsledky vyhledávání - Calculus of functions on infinite-dimensional spaces

Counterexamples in scale calculus Autor Filippenko, Benjamin, Zhou, Zhengyi, Wehrheim, Katrin

“…We construct counterexamples to classical calculus facts such as the inverse and implicit function theorems in scale calculus-a generalization of multivariable calculus to infinite-dimensional vector…”
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Distance Functions in Some Class of Infinite Dimensional Vector Spaces Autor Anne, Bator, Briec, Walter

“… Duality theorems extending some earlier results are established in the context of infinite dimensional spaces…”
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Aspects of Differential Calculus Related to Infinite-Dimensional Vector Bundles and Poisson Vector Spaces Autor Glöckner, Helge

“…We prove various results in infinite-dimensional differential calculus that relate the differentiability properties of functions and associated operator-valued functions (e.g., differentials…”
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Banach manifold structure and infinite-dimensional analysis for causal fermion systems Autor 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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An Extension of the Kaliszewski Cone to Non-polyhedral Pointed Cones in Infinite-Dimensional Spaces Autor Huerga, Lidia, Jadamba, Baasansuren, Sama, Miguel

“… ) from polyhedral pointed cones in finite-dimensional spaces to a general family of closed, convex, and pointed cones in infinite-dimensional spaces, which in particular covers all separable Banach spaces…”
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Singular Limit of BSDEs and Optimal Control of Two Scale Stochastic Systems in Infinite Dimensional Spaces Autor Guatteri, Giuseppina, Tessitore, Gianmario

“…In this paper we study by probabilistic techniques the convergence of the value function for a two-scale, infinite-dimensional, stochastic controlled system as the ratio between the two evolution speeds diverges…”
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Set-Valued Systems with Infinite-Dimensional Image and Applications Autor Li, J., Yang, L.

“…In infinite-dimensional spaces, we investigate a set-valued system from the image perspective…”
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Characterizing Efficiency on Infinite-dimensional Commodity Spaces with Ordering Cones Having Possibly Empty Interior Autor Flores-Bazán, Fabián, Flores-Bazán, Fernando, Laengle, Sigifredo

“…Some production models in finance require infinite-dimensional commodity spaces, where efficiency is defined in terms of an ordering cone having possibly empty interior…”
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Lyapunov exponents and invariant manifolds for random dynamical systems in a Banach space Autor Lian, Zeng, Lu, Kening

“…We study the Lyapunov exponents and their associated invariant subspaces for infinite dimensional random dynamical systems in a Banach space, which are generated by, for example, stochastic or random…”
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Numerical approximation of the solution in infinite dimensional global optimization using a representation formula Autor Zidani, H., De Cursi, J. E. Souza, Ellaia, R.

“…A non convex optimization problem, involving a regular functional J , on a closed and bounded subset S of a separable Hilbert space V is here considered…”
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Calculus and Fine Properties of Functions of Bounded Variation on RCD Spaces Autor Brena, Camillo, Gigli, Nicola

“… In the infinite dimensional setting, we are able to define an analogue of the distributional differential and, on finite dimensional spaces, we prove fine properties and suitable calculus rules, such as the…”
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Non-Gaussian Measures in Infinite Dimensional Spaces: the Gamma-Grey Noise Autor Beghin, Luisa, Cristofaro, Lorenzo, Gajda, Janusz

“… The related generalized processes, in the infinite dimensional setting, are also defined and, through the use of the Riemann-Liouville fractional operators, the (possibly tempered…”
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A weaker regularity condition for subdifferential calculus and Fenchel duality in infinite dimensional spaces Autor Boţ, Radu Ioan, Wanka, Gert

“… Moreover, it provides a weak sufficient condition for Fenchel duality regarding convex optimization problems in infinite dimensional spaces…”
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Second-Order Lagrange Multiplier Rules in Multiobjective Optimal Control of Infinite Dimensional Systems Under State Constraints and Mixed Pointwise Constraints Autor Nguyen Dinh, Tuan

“…We investigate a multiobjective optimal control problem, governed by a strongly continuous semigroup operator in an infinite dimensional separable Banach space, and with final-state constraints…”
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Singular integrals in quantum Euclidean spaces Autor González-Pérez, Adrían Manuel, Junge, Marius, Parcet, Javier

“…: quantum forms of Euclidean spaces and tori. Our results go beyond Connes’ pseudodifferential calculus for rotation algebras, thanks to a new form of…”
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Application of the functional calculus to solving of infinite dimensional heat equation Autor Sharyn, S.V.

“… Using the functional calculus method, we obtain the solution of appropriate Cauchy problem in the space of polynomial ultradifferentiable functions…”
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Optimal Control of Infinite-Dimensional Piecewise Deterministic Markov Processes: A BSDE Approach. Application to the Control of an Excitable Cell Membrane Autor Bandini, Elena, Thieullen, Michèle

“…In this paper we consider the optimal control of Hilbert space-valued infinite-dimensional Piecewise Deterministic Markov Processes (PDMP…”
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Infinite dimensional weak Dirichlet processes and convolution type processes Autor Fabbri, Giorgio, Russo, Francesco

“…The present paper continues the study of infinite dimensional calculus via regularization, started by C…”
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Infinite dimensional generalized Jacobian: Properties and calculus rules Autor Páles, Zsolt, Zeidan, Vera

“…The extension to infinite dimensional domains of Clarke's generalized Jacobian is the focus of this paper…”
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Optimal Stopping of a Hilbert Space Valued Diffusion: An Infinite Dimensional Variational Inequality Autor Chiarolla, Maria B., De Angelis, Tiziano

“…A finite horizon optimal stopping problem for an infinite dimensional diffusion X is analyzed by means of variational techniques…”
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