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Representations of groups --- Holomorphic functions --- Harmonic functions --- Lp spaces --- Hardy spaces

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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.

Group theory --- Representations of groups. --- Representations of semigroups. --- Representations of categories. --- Representations of groups --- Representations of semigroups --- Representations of categories --- 512.53 --- 512.54 --- 512.58 --- 512.54 Groups. Group theory --- Groups. Group theory --- 512.53 Semigroups --- Semigroups --- Group representation (Mathematics) --- Groups, Representation theory of --- Categories (Mathematics) --- 512.58 Categories. Category theory --- Categories. Category theory

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Topological groups. Lie groups --- Lie groups --- Representations of groups --- Spectral theory (Mathematics) --- Functional analysis --- Hilbert space --- Measure theory --- Transformations (Mathematics) --- Group representation (Mathematics) --- Groups, Representation theory of --- Group theory --- Groups, Lie --- Lie algebras --- Symmetric spaces --- Topological groups --- Lie groups. --- Representations of groups. --- Lie, Groupes de --- Représentations de groupes --- Théorie spectrale (mathématiques) --- Lie, Groupes de. --- Représentations de groupes.

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Group theory --- Linear algebraic groups. --- Representations of groups. --- Symmetry groups. --- Groupes, Théorie des --- Symmetry groups --- Groupes de symétrie --- Groupes, Théorie des --- Groupes de symétrie --- Groupes algébriques linéaires --- Représentations de groupes --- Groupes finis --- Representation

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Topological groups. Lie groups --- Lie groups --- Functions, Special --- Representations of groups --- Groupes de Lie --- Fonctions spéciales --- Représentations de groupes --- Representations of Lie groups --- 512.81 --- Group representation (Mathematics) --- Groups, Representation theory of --- Group theory --- Groups, Lie --- Lie algebras --- Symmetric spaces --- Topological groups --- Special functions --- Mathematical analysis --- Functions, Special. --- Lie groups. --- Representations of Lie groups. --- Representations of groups. --- 512.81 Lie groups --- Fonctions spéciales --- Représentations de groupes