Search Results - Calculus of functions on infinite-dimensional spaces*

Counterexamples in scale calculus by 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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Calculus and Fine Properties of Functions of Bounded Variation on RCD Spaces by 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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Uncertainty principles for magnetic structures on certain coadjoint orbits by Beltiţă, Ingrid, Beltiţă, Daniel

“… of infinite-dimensional Lie groups. These infinite-dimensional Lie groups are semidirect products of nilpotent Lie groups and invariant function spaces thereon…”
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Finite-dimensional linear algebra by Gockenbach, Mark S.

“…This text provides a solid foundation for the study of advanced mathematics and covers many interesting applications of linear algebra, which show how linear…”
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Counterexamples in Scale Calculus by 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…”
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Uncertainty principles for magnetic structures on certain coadjoint orbits by Beltita, Ingrid, Beltita, Daniel

“… of infinite-dimensional Lie groups. These infinite-dimensional Lie groups are semidirect products of nilpotent Lie groups and invariant function spaces thereon…”
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About the relative entropy method for hyperbolic systems of conservation laws by Serre, Denis, Vasseur, Alexis F.

“… We prove that contact discontinuities in full gas dynamics are uniformly stable. Generalizing this calculus, we derive an infinite-dimensional family of Lyapunov…”
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Salvation through slavery : Chiricahua Apaches and priests on the Spanish colonial frontier by Stockel, H. Henrietta

“…In her latest work, H. Henrietta Stockel examines the collision of the ethnocentric Spanish missionaries and the Chiricahua Apaches, including the resulting…”
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On the smoothness of optimal paths by Blot, Joël, Crettez, Bertrand

“… We address this problem from the point of view of the differential calculus in sequence spaces which are infinite-dimensional Banach spaces…”
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Differentiability in Fréchet spaces and delay differential equations by Walther, Hans-Otto

“…In infinite-dimensional spaces there are non-equivalent notions of continuous differentiability which can be used to derive the familiar results of calculus up to the Implicit Function Theorem and beyond…”
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Convolution Equation: Solution and Probabilistic Representation by Da Silva, José L., Erraoui, Mohamed, Ouerdiane, Habib

“… Finally, using infinite dimensional stochastic calculus we give a probabilistic representation of the solution in terms of K-Wiener process W…”
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Sequential normal compactness in variational analysis by Mordukhovich, B.S., Wang, Bingwu

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Fundamental theorem of calculus under weaker forms of primitive by Lone, Nisar A., Chishti, T. A.

“…) in the setting of Kurzweil - Henstock integral for functions taking values in an infinite dimensional locally convex space…”
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Necessary Conditions in Nonsmooth Minimization via Lower and Upper Subgradients by Mordukhovich, Boris S.

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Calculus and fine properties of functions of bounded variation on RCD spaces by 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…”
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Historical Hamiltonian Dynamics: symplectic and covariant by Lachieze-Rey, M

“…This paper presents a "historical" formalism for dynamical systems, in its Hamiltonian version (Lagrangian version was presented in a previous paper). It is…”
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Rate Sequence Spaces by Indirani, K

“… It develops tools from calculus and linear algebra, further to the more general setting, where one has vector spaces comprising of functions or general abstract infinite dimensional vector spaces…”
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