Bookcover of Set of Uniqueness
Booktitle:

Set of Uniqueness

Betascript Publishing (2010-11-11 )

Books loader

Omni badge eligible for voucher
ISBN-13:

978-613-1-16072-1

ISBN-10:
6131160724
EAN:
9786131160721
Book language:
English
Blurb/Shorttext:
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, a set of uniqueness is a concept relevant to trigonometric expansions which are not necessarily Fourier series. Their study is a relatively pure branch of harmonic analysis. The empty set is a set of uniqueness. This is just a fancy way to say that if a trigonometric series converges to zero everywhere then it is trivial. This was proved by Riemann, using a delicate technique of double formal integration; and showing that the resulting sum has some generalized kind of second derivative using Toeplitz operators. Later on, Cantor generalized Riemann's techniques to show that any countable, closed set is a set of uniqueness, a discovery which led him to the development of set theory. Interestingly, Paul Cohen, another great innovator in set theory, started his career with a thesis on sets of uniqueness.
Publishing house:
Betascript Publishing
Website:
https://www.betascript-publishing.com/
Edited by:
Lambert M. Surhone, Mariam T. Tennoe, Susan F. Henssonow
Number of pages:
72
Published on:
2010-11-11
Stock:
Available
Category:
Mathematics
Price:
29.00 €
Keywords:
Fourier Series, Pure Mathematics, harmonic analysis

Books loader

Newsletter

Adyen::amex Adyen::mc Adyen::visa Adyen::cup Adyen::unionpay Paypal Wire Transfer

  0 products in the shopping cart
Edit cart
Loading frontend
LOADING