bokomslag Distributions
Vetenskap & teknik

Distributions

Jacques Simon

Inbunden

2289:-

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  • 416 sidor
  • 2022
This book presents a simple and original theory of distributions, both real and vector, adapted to the study of partial differential equations. It deals with value distributions in a Neumann space, that is, in which any Cauchy suite converges, which encompasses the Banach and Fréchet spaces and the same "weak" spaces. Alongside the usual operations - derivation, product, variable change, variable separation, restriction, extension and regularization - Distributions presents a new operation: weighting. This operation produces properties similar to those of convolution for distributions defined in any open space. Emphasis is placed on the extraction of convergent sub-sequences, the existence and study of primitives and the representation by gradient or by derivatives of continuous functions. Constructive methods are used to make these tools accessible to students and engineers.
  • Författare: Jacques Simon
  • Format: Inbunden
  • ISBN: 9781786305251
  • Språk: Engelska
  • Antal sidor: 416
  • Utgivningsdatum: 2022-11-08
  • Förlag: ISTE Ltd and John Wiley & Sons Inc