Search Results - Calculus of functions taking values in infinite-dimensional spaces
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The Mean Value for Infinite Volume Measures, Infinite Products, and Heuristic Infinite Dimensional Lebesgue Measures
ISSN: 2314-4629, 2314-4785Published: Cairo, Egypt Hindawi Publishing Corporation 01.01.2017Published in Journal of Mathematics (01.01.2017)“… Finally, the mean value for the heuristic Lebesgue measure on a separable infinite dimensional topological vector space (e.g…”
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Infinite dimensional weak Dirichlet processes and convolution type processes
ISSN: 0304-4149, 1879-209XPublished: Elsevier B.V 01.01.2017Published in Stochastic processes and their applications (01.01.2017)“…The present paper continues the study of infinite dimensional calculus via regularization, started by C…”
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Infinite Dimensional Weak Dirichlet Processes and Convolution Type Processes
ISSN: 0304-4149, 1879-209XPublished: Elsevier 01.01.2017Published in Stochastic processes and their applications (01.01.2017)“…The present paper continues the study of infinite dimensional calculus via regularization, started by C…”
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Riemann integrability under weaker forms of continuity in infinite dimensional spaces
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 02.12.2016Published in arXiv.org (02.12.2016)“… In the setting of functions taking values in infinite dimensional spaces that include quasi Banach spaces, one encounters certain curious situations involving the breakdown of the above stated…”
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Fundamental theorem of calculus under weaker forms of primitive
ISSN: 2066-7752, 1844-6094, 2066-7752Published: Cluj-Napoca Sciendo 01.08.2018Published in Acta universitatis sapientiae. Mathematica (01.08.2018)“…) in the setting of Kurzweil - Henstock integral for functions taking values in an infinite dimensional locally convex space…”
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Tools for Malliavin Calculus in UMD Banach Spaces
ISSN: 0926-2601, 1572-929XPublished: Dordrecht Springer Netherlands 01.05.2014Published in Potential analysis (01.05.2014)“…In this paper we study the Malliavin derivatives and Skorohod integrals for processes taking values in an infinite dimensional space…”
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Weakly absolutely continuous functions without weak, but fractional weak derivatives
ISSN: 1662-9981, 1662-999XPublished: Cham Springer International Publishing 01.12.2019Published in Journal of pseudo-differential operators and applications (01.12.2019)“… On the other hand, we establish some examples of weakly continuous functions taking its values in Gauge space fail to be pseudo differentiable on I , but have fractional-pseudo derivatives of “all” order less than one. An application will be given…”
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Infinite dimensional weak Dirichlet processes and convolution type processes
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 13.06.2016Published in arXiv.org (13.06.2016)“…The present paper continues the study of infinite dimensional calculus via regularization, started by C…”
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Infinite dimensional weak Dirichlet processes, stochastic PDEs and optimal control
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 13.06.2016Published in arXiv.org (13.06.2016)“…The present paper continues the study of infinite dimensional calculus via regularization, started by C…”
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Deep learning operator network for plastic deformation with variable loads and material properties
ISSN: 0177-0667, 1435-5663Published: London Springer London 01.04.2024Published in Engineering with computers (01.04.2024)“… For any change of those parameters, re-training is necessary. Classical numerical methods are no different, as a new independent simulation needs to be performed for every new input parameter value…”
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Infinite dimensional weak Dirichlet processes, stochastic PDEs and optimal control
Published: St. Louis Federal Reserve Bank of St. Louis 01.01.2012Published in IDEAS Working Paper Series from RePEc (01.01.2012)“…The present paper continues the study of infinite dimensional calculus via regularization, started by C…”
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Grassmannian stochastic analysis and the stochastic quantization of Euclidean fermions
ISSN: 0178-8051, 1432-2064Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2022Published in Probability theory and related fields (01.08.2022)“…) differential equations taking values in Grassmann algebras. We use them to study the long time behavior of finite and infinite dimensional Langevin Grassmann stochastic…”
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Tools for Malliavin calculus in UMD Banach spaces
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 22.05.2013Published in arXiv.org (22.05.2013)“…In this paper we study the Malliavin derivatives and Skorohod integrals for processes taking values in an infinite dimensional space…”
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On Henri Cartan's vectorial mean-value theorem and its applications to Lipschitzian operators and generalized Lebesgue-Bochner-Stieltjes integration theory
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 13.10.2009Published in arXiv.org (13.10.2009)“…H. Cartan in his book on differential calculus proved a theorem generalizing a Cauchy's mean-value theorem to the case of functions taking values in a Banach space…”
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Clark-Ocone type formula for non-semimartingales with finite quadratic variation
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 26.10.2010Published in arXiv.org (26.10.2010)“…We provide a suitable framework for the concept of finite quadratic variation for processes with values in a separable Banach space \(B…”
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