Hilbertrum og Operatorer på Hilbertrum

Funktionalanalyse Eksempler c-3

notes :
( 11 )
108 pages
Jazyk:
 Danish
In this book you find the basic mathematics that is needed by engineers and university students .
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Poslední vydání
O autorovi

Leif Mejlbro was educated as a mathematician at the University of Copenhagen, where he wrote his thesis on Linear Partial Differential Operators and Distributions. Shortly after he obtained a position at the Technical University of Denmark, where he remained until h...

Description
Content

In this book you find the basic mathematics that is needed by engineers and university students . The author will help you to understand the meaning and function of mathematical concepts. The best way to learn it, is by doing it, the exercises in this book will help you do just that.

Topics as Topological, metric, Hilbert and Banach spaces and Spectral Theory are illustrated.

  1. Hilbertrum
    1. Indre produktrum
    2. Hilbertrum
    3. Fourierrækker
    4. Konstruktion af Hilbertrum
    5. Ortogonale projektioner og komplement
    6. Svag konvergens
  2. Operatorer på Hilbertrum
    1. Generelt om operatorer på Hilbertrum
    2. Afsluttende operatorer