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Mathematical physics --- Supermanifolds (Mathematics) --- Mathematical physics. --- Twistor theory. --- Spaces, Generalized.

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Although much has happened in the field since the publication of this book, this single volume on Riemannian geometry and for the analysis and geometry of symmetric spaces still offers a clear overview of the subjects.

Geometry, Differential. --- Generalized spaces. --- Geometry of paths --- Minkowski space --- Spaces, Generalized --- Weyl space --- Calculus of tensors --- Geometry, Differential --- Geometry, Non-Euclidean --- Hyperspace --- Relativity (Physics) --- Differential geometry

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Quantum mechanics. Quantumfield theory --- Mathematical physics --- Quantum theory --- Generalized spaces --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Physics --- Mechanics --- Thermodynamics --- Physical mathematics --- Geometry of paths --- Minkowski space --- Spaces, Generalized --- Weyl space --- Calculus of tensors --- Geometry, Differential --- Geometry, Non-Euclidean --- Hyperspace --- Relativity (Physics) --- Mathematics --- Generalized spaces. --- Mathematical physics. --- Quantum theory.

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Starting point and motivation for this volume is the classical Muentz theorem which states that the space of all polynomials on the unit interval, whose exponents have too many gaps, is no longer dense in the space of all continuous functions. The resulting spaces of Muentz polynomials are largely unexplored as far as the Banach space geometry is concerned and deserve the attention that the authors arouse. They present the known theorems and prove new results concerning, for example, the isomorphic and isometric classification and the existence of bases in these spaces. Moreover they state many open problems. Although the viewpoint is that of the geometry of Banach spaces they only assume that the reader is familiar with basic functional analysis. In the first part of the book the Banach spaces notions are systematically introduced and are later on applied for Muentz spaces. They include the opening and inclination of subspaces, bases and bounded approximation properties and versions of universality.

Banach spaces. --- Generalized spaces. --- Polynomials. --- Banach, Espaces de --- Espaces généralisés --- Polynômes --- Mathematics. --- Functional analysis. --- Geometry. --- Functional Analysis. --- Banach spaces --- Generalized spaces --- Polynomials --- Calculus --- Mathematics --- Physical Sciences & Mathematics --- Geometry of paths --- Minkowski space --- Spaces, Generalized --- Weyl space --- Functional calculus --- Math --- Euclid's Elements --- Calculus of variations --- Functional equations --- Integral equations --- Science

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Topological fields. --- Generalized spaces. --- Topology. --- Corps topologiques. --- Espaces généralisés. --- Topologie. --- Corps topologiques --- Espaces généralisés --- Topological fields --- Generalized spaces --- Topology --- Analysis situs --- Position analysis --- Rubber-sheet geometry --- Geometry --- Polyhedra --- Set theory --- Algebras, Linear --- Geometry of paths --- Minkowski space --- Spaces, Generalized --- Weyl space --- Calculus of tensors --- Geometry, Differential --- Geometry, Non-Euclidean --- Hyperspace --- Relativity (Physics) --- Algebraic fields