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The contributions collected in this volume exhibit the increasingly wide spectrum of applications of abstract order theory in analysis and show the possibilities of order-theoretical argumentation.The following areas are discussed: potential theory, partial differential operators of second order, Schrodinger operators, theory of convexity, one-parameter semigroups, Lie algebras, Markov processes, operator-algebras, noncommutative integration and geometry of Banach spaces.
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Analytical spaces --- Analyse fonctionnelle --- Functional analysis --- Sobolev spaces --- Sobolev, Espaces de --- Sobolev spaces. --- #TCPW W8.0 --- 517.982 --- Functional analysis. --- 517.982 Linear spaces with topology and order or other structures --- Linear spaces with topology and order or other structures --- Spaces, Sobolev --- Function spaces --- Mathematics --- Physical Sciences & Mathematics --- Calculus --- Mathematical Theory --- Espaces de sobolev
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The aim of this book is to provide a comprehensive introduction to the theory of distributions, by the use of solved problems. Although written for mathematicians, it can also be used by a wider audience, including engineers and physicists.The first six chapters deal with the classical theory, with special emphasis on the concrete aspects. The reader will find many examples of distributions and learn how to work with them. At the beginning of each chapter the relevant theoretical material is briefly recalled. The last chapter is a short introduction to a very wide and important
Mathematical distribution theory --- Partial differential equations --- Theory of distributions (Functional analysis) --- Differential equations, Partial --- Distribution (Functional analysis) --- Distributions, Theory of (Functional analysis) --- Functions, Generalized --- Generalized functions --- Functional analysis --- 517.95 --- 517.982.4 --- 517.982.4 Theory of generalized functions (distributions) --- Theory of generalized functions (distributions) --- 517.95 Partial differential equations --- Problems, exercises, etc
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Bornologies and functional analysis
Functional analysis --- Functional analysis. --- Bornological spaces. --- Duality theory (Mathematics) --- Differential equations, Partial. --- Duality theory (Mathematics). --- Partial differential equations --- Algebra --- Mathematical analysis --- Topology --- Spaces, Bornological --- Linear topological spaces --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Bornological spaces --- Differential equations, Partial --- 517.982 --- 517.982 Linear spaces with topology and order or other structures --- Linear spaces with topology and order or other structures
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This book provides a comprehensive introduction to modern global variational theory on fibred spaces. It is based on differentiation and integration theory of differential forms on smooth manifolds, and on the concepts of global analysis and geometry such as jet prolongations of manifolds, mappings, and Lie groups. The book will be invaluable for researchers and PhD students in differential geometry, global analysis, differential equations on manifolds, and mathematical physics, and for the readers who wish to undertake further rigorous study in this broad interdisciplinary field.
Operator theory --- Banach spaces. --- Interpolation. --- Function spaces. --- Differential operators. --- Banach spaces --- Interpolation --- Function spaces --- Differential operators --- 517.982 --- 517.982 Linear spaces with topology and order or other structures --- Linear spaces with topology and order or other structures --- Approximation theory --- Numerical analysis --- Spaces, Function --- Functional analysis --- Operators, Differential --- Differential equations --- Functions of complex variables --- Generalized spaces --- Topology
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While Volume I (by W.A.J. Luxemburg and A.C. Zaanen, NHML Volume 1, 1971) is devoted to the algebraic aspects of the theory, this volume emphasizes the analytical theory of Riesz spaces and operators between these spaces. Though the numbering of chapters continues on from the first volume, this does not imply that everything covered in Volume I is required for this volume, however the two volumes are to some extent complementary.
Analytical spaces --- 517.982 --- Linear spaces with topology and order or other structures --- Riesz spaces. --- 517.982 Linear spaces with topology and order or other structures --- Vector spaces. --- Linear spaces --- Linear vector spaces --- Algebras, Linear --- Functional analysis --- Vector analysis --- Riesz vector spaces --- Vector lattices --- Lattice theory --- Vector spaces --- Analyse fonctionnelle --- Functional analysis. --- Espaces vectoriels ordonnes
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Distributions and Fourier transforms
517.982.4 --- Theory of generalized functions (distributions) --- Fourier transformations. --- Theory of distributions (Functional analysis) --- Theory of distributions (Functional analysis). --- 517.982.4 Theory of generalized functions (distributions) --- Transformations, Fourier --- Transforms, Fourier --- Fourier analysis --- Transformations (Mathematics) --- Distribution (Functional analysis) --- Distributions, Theory of (Functional analysis) --- Functions, Generalized --- Generalized functions --- Functional analysis
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Geschiedenis en politiek - bevolking en samenleving - economie - cultuur en religie - natuur en milieu
Madagascar --- Geografie --- Landenreeks. --- Regional documentation --- reisgidsen (genre) --- Madagaskar ; reisgidsen --- Madagaskar --- Sociale aardrijkskunde --- Economische aardrijkskunde --- Politiek --- Geschiedenis --- Toerisme --- 908 <691> --- 282 Landbeschrijvingen (sociaal-economisch-cultureel) --- reisgidsen --- Madagaskar 994 --- Geneeskunde --- Techniek (wetenschap) --- Atlas --- Museum --- Maatschappij --- Film --- 982 --- geografie Afrika --- géographie Afrique --- Madagascar.
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Regional documentation --- Ghana --- Ghana ; sociaal-economische beschrijvingen --- Ghana ; politiek ; geschiedenis --- aanwinstenlijst oktober 05 --- 282 Landbeschrijvingen (sociaal-economisch-cultureel) --- land- en volkenkunde --- 916.67 --- reisgidsen --- Ghana 994 --- Burkina Faso, Ghana --- Geografie --- Landenreeks. --- 982 --- geografie Afrika --- géographie Afrique
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Regional documentation --- Belgium --- Belgique --- Aerial views --- Vues aériennes --- 982 --- België --- C3 --- België [land - BE] --- erfgoed --- landschap --- fotografie --- Kunst en cultuur --- Vues aériennes --- Aerial photographs --- Pictorial works --- Aerial views.
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