Tabla de Contenidos: “…Banach Spaces and Fixed-Point Theorems.- Hilbert Spaces.- Orthogonality, and the Dirichlet Principle.- Hilbert Spaces and Generalized Fourier Series.- Eigenvalue Problems for Linear Compact Symmetric Operators.- Self-Adjoint Operators, the Friedrichs Extension and the Partial Differential Equations of Mathematical Physics.- Epilogue.- Appendix.- References.- Hints for Further Reading.- List of Symbols.- List of Theorems.- List of Most Important Definitions…”

Tabla de Contenidos: “…Dels orígens al segle XII / Josep M. Salrach i Mercè Aventín ; 2. Del segle XIII al XV / Carme Batlle ; 3. …”

Enlace del recurso

Tabla de Contenidos: “…Motivation, Aims and Examples -- Stochastic Integral in Hilbert spaces -- Stochastic Differential Equations in Finite Dimensions -- A Class of Stochastic Differential Equations in Banach Spaces -- Appendices: The Bochner Integral -- Nuclear and Hilbert-Schmidt Operators -- Pseudo Invers of Linear Operators -- Some Tools from Real Martingale Theory -- Weak and Strong Solutions: the Yamada-Watanabe Theorem -- Strong, Mild and Weak Solutions…”