03195nam a22005055i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003500118040002500153050001600178072001700194072002300211072001600234082001400250100007600264245011300340264007500453300003200528336002600560337002600586338003600612347002400648490005100672505019300723520090200916650002501818650002101843650001701864650003801881650009601919650011802015650010002133650012002233700007702353710003402430773002002464776003602484776003602520776003602556830005102592856004602643978-3-319-57117-1DE-He21320181204134418.0cr nn 008mamaa170518s2017 gw | s |||| 0|eng d a97833195711717 a10.1007/978-3-319-57117-12doi aISI Library, Kolkata 4aQA319-329.9 7aPBKF2bicssc 7aMAT0370002bisacsh 7aPBKF2thema04a515.72231 aBogachev, V.I.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut10aTopological Vector Spaces and Their Applicationsh[electronic resource] /cby V.I. Bogachev, O.G. Smolyanov. 1aCham :bSpringer International Publishing :bImprint: Springer,c2017. aX, 456 p.bonline resource. atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda1 aSpringer Monographs in Mathematics,x1439-73820 a1. Introduction to the theory of topological vector spaces -- 2. Methods of constructing topological vector spaces -- 3. Duality -- 4. Differential calculus -- 5.Measures on linear spaces. aThis book gives a compact exposition of the fundamentals of the theory of locally convex topological vector spaces. Furthermore it contains a survey of the most important results of a more subtle nature, which cannot be regarded as basic, but knowledge which is useful for understanding applications. Finally, the book explores some of such applications connected with differential calculus and measure theory in infinite-dimensional spaces. These applications are a central aspect of the book, which is why it is different from the wide range of existing texts on topological vector spaces. In addition, this book develops differential and integral calculus on infinite-dimensional locally convex spaces by using methods and techniques of the theory of locally convex spaces. The target readership includes mathematicians and physicists whose research is related to infinite-dimensional analysis. 0aFunctional analysis. 0aGlobal analysis. 0aMathematics. 0aDistribution (Probability theory.14aFunctional Analysis.0http://scigraph.springernature.com/things/product-market-codes/M1206624aGlobal Analysis and Analysis on Manifolds.0http://scigraph.springernature.com/things/product-market-codes/M1208224aMeasure and Integration.0http://scigraph.springernature.com/things/product-market-codes/M1212024aProbability Theory and Stochastic Processes.0http://scigraph.springernature.com/things/product-market-codes/M270041 aSmolyanov, O.G.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z978331957116408iPrinted edition:z978331957118808iPrinted edition:z9783319860800 0aSpringer Monographs in Mathematics,x1439-738240uhttps://doi.org/10.1007/978-3-319-57117-1