This e-book is a self-contained account of information of the idea of nonlinear superposition operators: a generalization of the proposal of services. the speculation constructed this is acceptable to operators in a wide selection of functionality areas, and it really is right here that the trendy thought diverges from classical nonlinear research. the aim of this booklet is to gather the fundamental proof concerning the superposition operator, to provide the most rules that are valuable in learning its houses and to supply a comparability of its behaviour in several functionality areas. a few purposes also are thought of, for instance to regulate idea and optimization. a lot of the paintings right here has in basic terms seemed ahead of in examine literature, which itself is catalogued intimately the following.
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