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Viac informácií o knihe Kernel Theorem and Microlocal Analysis

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Anotácia knihy

This book develops several aspects of the theory of distributions on manifolds. Beginning with a section on prerequisites, it shortly outlines the most important concepts needed from the fields of functional analysis, differential geometry and distribution theory, thus enabling students with basic knowledge in these fields to follow the main body of the book. The second chapter then deals with the kernel theorem by Laurent Schwartz, stating that all linear and continuous operators from the space of test functions on one manifold into the space of distributions on another manifold can be given by a kernel distribution on the product space. After proving this theorem, regular and regularising kernel operators are examined as special cases of kernel operators that allow an extension of the kernel map to distribution spaces. The last chapter then moves on to microlocal analysis on manifolds, where first of all an intrinsic, coordinate-invariant definition of the wave front set for distributions on a manifold is developed. Ultimately, the thesis returns to regular kernel operators and investigates their microlocal properties.

Parametre knihy

Zaradenie knihy Knihy po anglicky Mathematics & science Mathematics Calculus & mathematical analysis

• Celý názov: Kernel Theorem and Microlocal Analysis
• Autor: Vera Ganglberger
• Jazyk: Angličtina
• Väzba: Brožovaná
• Počet strán: 88
• EAN: 9783639317329
• ISBN: 3639317327
• ID: 06838583
• Nakladateľ: VDM Verlag
• Hmotnosť: 141 g
• Rozmery: 229 × 152 × 5 mm
• Dátum vydania: 05. December 2010

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