Borel's Methods of Summability : Theory and Applications Hardback
by Bruce L. R. (Professor of Mathematics, Professor of Mathematics, Memorial University of New Shawyer, Bruce (Professor of Mathematics, Professor of Mathematics, Memorial University of Newfoundla Watson
Part of the Oxford Mathematical Monographs series
Hardback
Description
Summability methods are transformations that map sequences (or functions) to sequences (or functions).
A prime requirement for a "good" summability method is that it preserves convergence.
Unless it is the identity transformation, it will do more: it will transform some divergent sequences to convergent sequences. An important type of theorem is called a Tauberian theorem.
Here, we know that a sequence is summable. The sequence satisfies a further property that implies convergence. Borel's methods are fundamental to a whole class of sequences to function methods.
The transformation gives a function that is usually analytic in a large part of the complex plane, leading to a method for analytic continuation. These methods, dated from the beginning of the 20th century, have recently found applications in some problems in theoretical physics.
Information
-
Out of stock
- Format:Hardback
- Pages:254 pages
- Publisher:Oxford University Press
- Publication Date:14/07/1994
- Category:
- ISBN:9780198535850
Information
-
Out of stock
- Format:Hardback
- Pages:254 pages
- Publisher:Oxford University Press
- Publication Date:14/07/1994
- Category:
- ISBN:9780198535850
