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Borel's methods of summability
Hardback
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- Book Synopsis
- 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.
- Product Details
-
- ISBN
- 9780198535850
- Format
- Hardback
- Publisher
- Clarendon Press, (14 July 1994)
- Number of Pages
- 242
- Weight
- 556 grams
- Language
- English
- Dimensions
- 241 x 162 x 19 mm
- Series:
- See all books in this series
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