04656nam 22008173 450 991097532620332120231110215743.09781470467500147046750X(CKB)4940000000616258(MiAaPQ)EBC6798071(Au-PeEL)EBL6798071(RPAM)22493604(PPN)259971316(OCoLC)1275392622(EXLCZ)99494000000061625820211214d2021 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierSingular Integrals in Quantum Euclidean Spaces1st ed.Providence :American Mathematical Society,2021.©2021.1 online resource (110 pages)Memoirs of the American Mathematical Society ;v.272"July 2021. Volume 272."9781470449377 1470449374 Includes bibliographical references.Quantum Euclidean spaces -- Calderón-Zygmund Lp theory -- Pseudodifferential Lp calculus -- Lp regularity for elliptic PDEs."We shall establish the core of singular integral theory and pseudodifferential calculus over the archetypal algebras of noncommutative geometry: quantum forms of Euclidean spaces and tori. Our results go beyond Connes' pseudodifferential calculus for rotation algebras, thanks to a new form of Calderon-Zygmund theory over these spaces which crucially incorporates nonconvolution kernels. We deduce Lp-boundedness and Sobolev p-estimates for regular, exotic and forbidden symbols in the expected ranks. In the L2 level both Calderon-Vaillancourt and Bourdaud theorems for exotic and forbidden symbols are also generalized to the quantum setting. As a basic application of our methods, we prove Lp-regularity of solutions for elliptic PDEs"--Provided by publisher.Memoirs of the American Mathematical Society Singular integralsCalderón-Zygmund operatorPseudodifferential operatorsNoncommutative differential geometryLp spacesQuantum theoryHarmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Singular and oscillatory integrals (Calderón-Zygmund, etc.)mscHarmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Harmonic analysis and PDEmscOperator theory -- Integral, integro-differential, and pseudodifferential operators -- Pseudodifferential operatorsmscFunctional analysis -- Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W^*$-) algebras, etc.) -- Noncommutative measure and integrationmscFunctional analysis -- Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W^*$-) algebras, etc.) -- General theory of von Neumann algebrasmscQuantum theory -- Groups and algebras in quantum theory -- Noncommutative geometrymscSingular integrals.Calderón-Zygmund operator.Pseudodifferential operators.Noncommutative differential geometry.Lp spaces.Quantum theory.Harmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Singular and oscillatory integrals (Calderón-Zygmund, etc.).Harmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Harmonic analysis and PDE.Operator theory -- Integral, integro-differential, and pseudodifferential operators -- Pseudodifferential operators.Functional analysis -- Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W^*$-) algebras, etc.) -- Noncommutative measure and integration.Functional analysis -- Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W^*$-) algebras, etc.) -- General theory of von Neumann algebras.Quantum theory -- Groups and algebras in quantum theory -- Noncommutative geometry.515/.72342B2042B3747G3046L5146L1081R60mscGonzález-Pérez Adrían M1799715Junge Marius1643539Parcet Javier1799716MiAaPQMiAaPQMiAaPQBOOK9910975326203321Singular Integrals in Quantum Euclidean Spaces4344110UNINA03330nam 22004573a 450 991097605110332120250204001015.097807766065140776606514978077661551607766155139780776627151077662715510.26530/OAPEN_578784(CKB)37387659000041(VaAlCD)20.500.12592/qvzn29(schport)gibson_crkn/2009-12-01/4/408188(ScCtBLL)195dd628-e8c6-42d7-b208-58f342630b63(OCoLC)817088033(EXLCZ)993738765900004120250204i20072020 uu engur|||||||||||txtrdacontentcrdamediacrrdacarrierBorderlandsEmmanuel Brunet-Jailly[s.l.] :University of Ottawa Press / Les Presses de l'Université d'Ottawa,2007.1 online resource (1 p.)Border security has been high on public-policy agendas in Europe and North America since the September 11, 2001 attacks on the World Trade Centre in New York City and on the headquarters of the American military in Washington DC. Governments are now confronted with managing secure borders, a policy objective that in this era of increased free trade and globalization must compete with intense cross-border flows of people and goods. Border-security policies must enable security personnel to identify, or filter out, dangerous individuals and substances from among the millions of travelers and tons of goods that cross borders daily, particularly in large cross-border urban regions.This book addresses this gap between security needs and an understanding of borders and borderlands. Specifically, the chapters in this volume ask policy-makers to recognize that two fundamental elements define borders and borderlands: first, human activities (the agency and agent power of individual ties and forces spanning a border), and second, the broader social processes that frame individual action, such as market forces, government activities (law, regulations, and policies), and the regional culture and politics of a borderland.Borders emerge as the historically and geographically variable expression of human ties exercised within social structures of varying force and influence, and it is the interplay and interdependence between people's incentives to act and the surrounding structures (i.e. constructed social processes that contain and constrain individual action) that determine the effectiveness of border security policies.This book argues that the nature of borders is to be porous, which is a problem for security policy makers. It shows that when for economic, cultural, or political reasons human activities increase across a border and borderland, governments need to increase cooperation and collaboration with regard to security policies, if only to avoid implementing mismatched security policies.Political SciencebisacshPolitical sciencePolitical SciencePolitical science.Brunet-Jailly Emmanuel1190662ScCtBLLScCtBLLBOOK9910976051103321Borderlands3088037UNINA