Download PDF by I. M. Gel'Fand,G. E. Shilov: Spaces of Fundamental and Generalized Functions

By I. M. Gel'Fand,G. E. Shilov

areas of primary and Generalized services, quantity 2, analyzes the overall idea of linear topological areas. the foundation of the idea of generalized services is the idea of the so-called countably normed areas (with suitable norms), their unions (inductive limits), and likewise of the areas conjugate to the countably normed ones or their unions. This set of areas is satisfactorily large at the one hand, and sufficiently handy for the analyst at the different.
The publication opens with a bankruptcy that discusses the idea of those areas. this can be through separate chapters on basic and generalized services, Fourier changes of basic and generalized features, and areas of sort S.

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Spaces of Fundamental and Generalized Functions by I. M. Gel'Fand,G. E. Shilov

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