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517.982.2 --- 517.982.2 Topological linear spaces. Banach spaces. Hilbert spaces. Fre_/chet spaces --- Topological linear spaces. Banach spaces. Hilbert spaces. Fre_/chet spaces --- Analytical spaces

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Analytical spaces --- 517.982.2 --- Topological linear spaces. Banach spaces. Hilbert spaces. Fre_/chet spaces --- 517.982.2 Topological linear spaces. Banach spaces. Hilbert spaces. Fre_/chet spaces --- Théorie quantique --- Théorie quantique --- Espaces de hilbert

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The aim of this book is to give a systematic and self-contained presentation of basic results on stochastic evolution equations in infinite dimensional, typically Hilbert and Banach, spaces. These are a generalization of stochastic differential equations as introduced by Itô and Gikham that occur, for instance, when describing random phenomena that crop up in science and engineering, as well as in the study of differential equations. The book is divided into three parts. In the first the authors give a self-contained exposition of the basic properties of probability measure on separable Banach and Hilbert spaces, as required later; they assume a reasonable background in probability theory and finite dimensional stochastic processes. The second part is devoted to the existence and uniqueness of solutions of a general stochastic evolution equation, and the third concerns the qualitative properties of those solutions. Appendices gather together background results from analysis that are otherwise hard to find under one roof. The book ends with a comprehensive bibliography that will contribute to the book's value for all working in stochastic differential equations.

Stochastic partial differential equations. --- Banach spaces, Stochastic differential equations in --- Hilbert spaces, Stochastic differential equations in --- SPDE (Differential equations) --- Stochastic differential equations in Banach spaces --- Stochastic differential equations in Hilbert spaces --- Differential equations, Partial

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Rigorous error estimates for amplitude equations are well known for deterministic PDEs, and there is a large body of literature over the past two decades. However, there seems to be a lack of literature for stochastic equations, although the theory is being successfully used in the applied community, such as for convective instabilities, without reliable error estimates at hand. This book is the first step in closing this gap. The author provides details about the reduction of dynamics to more simpler equations via amplitude or modulation equations, which relies on the natural separation of ti

Stochastic partial differential equations. --- Banach spaces, Stochastic differential equations in --- Hilbert spaces, Stochastic differential equations in --- SPDE (Differential equations) --- Stochastic differential equations in Banach spaces --- Stochastic differential equations in Hilbert spaces --- Differential equations, Partial

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QUANTUM MECHANICS --- HILBERT SPACES (NOT CAS) --- MOMENTUM --- BOND --- SYMMETRY --- LIGAND FIELD THEORY --- SOLIDS --- ELECTRON CONFIGURATION --- MOLECULAR VIBRATION --- MOLECULAR ROTATION