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  • Functional analysis
  • English  (9)
  • German
  • Polish
  • 2020-2024  (2)
  • 1975-1979  (7)
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  • English  (9)
  • German
  • Polish
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  • 1
    Keywords: DDC 510/.8 s ; LC QA1 ; Bornological spaces ; Differential equations, Partial ; Duality theory (Mathematics) ; Functional analysis
    Pages: Online-Ressource (xii, 144 pages)
    ISBN: 9780720407129
    Language: English
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  • 2
    Keywords: DDC 510/.8 s ; DDC 515/.7 ; LC QA3 ; Functional analysis ; Mathematical analysis ; Nonlinear theories
    Pages: Online-Ressource (xix, 417 pages)
    ISBN: 9780120903504
    Language: English
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  • 3
    Unknown
    Amsterdam ; New York : North-Holland Pub. Co
    Keywords: DDC 510/.8 s ; LC QA1 ; LC QA322eb ; Functional analysis ; Saks spaces
    Pages: Online-Ressource (x, 325 pages)
    ISBN: 9780444851000
    Language: English
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  • 4
    Unknown
    Amsterdam ; New York : North-Holland Pub. Co
    Keywords: DDC 515/.7 ; LC QA269 ; Economics, Mathematical ; Functional analysis ; Game theory ; Mathematical optimization
    Pages: Online-Ressource (xxxii, 619 pages)
    ISBN: 9780444851840
    Language: English
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  • 5
    Unknown
    Amsterdam : North-Holland Pub. Co
    Keywords: DDC 510/.8 s ; LC QA1 ; Functional analysis ; Volterra equations
    Pages: Online-Ressource (ix, 158 pages)
    ISBN: 9780444108500
    Language: English
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  • 6
    Unknown
    New York : Academic Press
    Keywords: DDC 515/.7 ; LC QA3 ; Functional analysis
    Pages: Online-Ressource (ix, 166 pages)
    ISBN: 9780122132506
    Language: English
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  • 7
    Unknown
    New York : Academic Press
    Keywords: DDC 515/.7 ; LC QA402 ; Functional analysis
    Pages: Online-Ressource (ix, 339 pages)
    ISBN: 9780121962500
    Language: English
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  • 8
    Publication Date: 2024-04-04
    Description: This open access book provides an extensive treatment of Hardy inequalities and closely related topics from the point of view of Folland and Stein's homogeneous (Lie) groups. The place where Hardy inequalities and homogeneous groups meet is a beautiful area of mathematics with links to many other subjects. While describing the general theory of Hardy, Rellich, Caffarelli-Kohn-Nirenberg, Sobolev, and other inequalities in the setting of general homogeneous groups, the authors pay particular attention to the special class of stratified groups. In this environment, the theory of Hardy inequalities becomes intricately intertwined with the properties of sub-Laplacians and subelliptic partial differential equations. These topics constitute the core of this book and they are complemented by additional, closely related topics such as uncertainty principles, function spaces on homogeneous groups, the potential theory for stratified groups, and the potential theory for general Hörmander's sums of squares and their fundamental solutions. This monograph is the winner of the 2018 Ferran Sunyer i Balaguer Prize, a prestigious award for books of expository nature presenting the latest developments in an active area of research in mathematics. As can be attested as the winner of such an award, it is a vital contribution to literature of analysis not only because it presents a detailed account of the recent developments in the field, but also because the book is accessible to anyone with a basic level of understanding of analysis. Undergraduate and graduate students as well as researchers from any field of mathematical and physical sciences related to analysis involving functional inequalities or analysis of homogeneous groups will find the text beneficial to deepen their understanding.
    Keywords: Mathematics ; Topological groups ; Lie groups ; Potential theory (Mathematics) ; Partial differential equations ; Harmonic analysis ; Functional analysis ; Differential geometry ; thema EDItEUR::P Mathematics and Science::PB Mathematics::PBG Groups and group theory ; thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKD Complex analysis, complex variables ; thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKF Functional analysis and transforms ; thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKJ Differential calculus and equations ; thema EDItEUR::P Mathematics and Science::PB Mathematics::PBM Geometry::PBMP Differential and Riemannian geometry ; thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics::PBWL Stochastics
    Language: English
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  • 9
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    The MIT Press | The MIT Press
    Publication Date: 2024-04-08
    Description: A new approach for defining causality and such related notions as degree of responsibility, degrees of blame, and causal explanation. Causality plays a central role in the way people structure the world; we constantly seek causal explanations for our observations. But what does it even mean that an event C “actually caused” event E? The problem of defining actual causation goes beyond mere philosophical speculation. For example, in many legal arguments, it is precisely what needs to be established in order to determine responsibility. The philosophy literature has been struggling with the problem of defining causality since Hume. In this book, Joseph Halpern explores actual causality, and such related notions as degree of responsibility, degree of blame, and causal explanation. The goal is to arrive at a definition of causality that matches our natural language usage and is helpful, for example, to a jury deciding a legal case, a programmer looking for the line of code that cause some software to fail, or an economist trying to determine whether austerity caused a subsequent depression. Halpern applies and expands an approach to causality that he and Judea Pearl developed, based on structural equations. He carefully formulates a definition of causality, and building on this, defines degree of responsibility, degree of blame, and causal explanation. He concludes by discussing how these ideas can be applied to such practical problems as accountability and program verification. Technical details are generally confined to the final section of each chapter and can be skipped by non-mathematical readers.
    Keywords: Functional analysis ; probabilities ; probability ; causation ; causality ; causal modeling ; causal model ; model ; complexity ; axiomization ; responsibility ; blame ; explanation ; definitions ; network ; cause ; computation ; dependence ; endogenous variable ; variable ; intervention ; normality ; ordering ; structural equations ; witness ; typicality ; bic Book Industry Communication::H Humanities::HP Philosophy::HPX Popular philosophy ; bic Book Industry Communication::U Computing & information technology::UY Computer science::UYQ Artificial intelligence::UYQM Machine learning ; thema EDItEUR::Q Philosophy and Religion::QD Philosophy::QDX Popular philosophy ; thema EDItEUR::U Computing and Information Technology::UY Computer science::UYQ Artificial intelligence::UYQM Machine learning
    Language: English
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