Trigonometric approximation with exponential error orders
β Scribed by Wolfgang Dahmen
- Book ID
- 105189692
- Publisher
- Springer
- Year
- 1977
- Tongue
- English
- Weight
- 888 KB
- Volume
- 230
- Category
- Article
- ISSN
- 0025-5831
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π SIMILAR VOLUMES
## The problem of approximating a continuous fun&m on Ue in&vu1 [O, T] with -~a linear combination of real exponential functti is wnaidered. Rather than restricting the analysis to mathematically well behaved error criteria, such aa lea&-squares, the theory of di&ibutti is used to analyze crikria
We present an elementary proof that the quantum adiabatic approximation is correct up to exponentially small errors for Hamiltonians that depend analytically on the time variable. Our proof uses optimal truncation of a straightforward asymptotic expansion. We estimate the terms of the expansion with