| Item type | Current location | Collection | Call number | Copy number | Status | Date due | Barcode |
|---|---|---|---|---|---|---|---|
| E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA312.SPR FCT 82192 (Browse shelf) | 1 | Available |
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| QA312.SPR FCT 81474 Measure, integral, derivative | QA312.SPR FCT 82025 Multiscale modeling of pedestrian dynamics | QA312.SPR FCT 82034 Dynamical systems with applications using MATLAB® | QA312.SPR FCT 82192 Operator-valued measures and integrals for cone-valued functions | QA312.SPR FCT 82316 Geometric measure theory and minimal surfaces | QA312.SPR FCT 82980 Topics in measure theory and real analysis | QA312.SPR FCT 94307 Gradient flows |
Integration theory deals with extended real-valued, vector-valued, or operator-valued measures and functions. Different approaches are applied in each of these cases using different techniques. The order structure of the (extended) real number system is used for real-valued functions and measures, whereas suprema and infima are replaced with topological limits in the vector-valued case. A novel approach employing more general structures, locally convex cones, which are natural generalizations of locally convex vector spaces, is introduced here. This setting allows developing a general theory of integration which simultaneously deals with all of the above-mentioned cases.
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