A Continuous Euler Transformation and its Application to Fourier Transforms of Slowly Decaying Functions
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- Ooura Takuya
- Research Institute of Mathematical Sciences, Kyoto University
Bibliographic Information
- Other Title
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- 連続Euler変換と減衰の遅い関数のFourier変換への応用
- レンゾク Euler ヘンカン ト ゲンスイ ノ オソイ カンスウ ノ Fourier ヘンカン エ ノ オウヨウ
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Description
Euler transformation is a linear sequence transformation to accelerate the convergence of alternating series. The series of weights of the transformation is extended to a continuous function which can accelerate Fourier type integrals with slowly convergent integrands. We show that the continuous function can be used to compute Fourier transforms of slowly decaying functions using FFT.
Journal
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- Transactions of the Japan Society for Industrial and Applied Mathematics
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Transactions of the Japan Society for Industrial and Applied Mathematics 9 (3), 109-121, 1999
The Japan Society for Industrial and Applied Mathematics
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Details 詳細情報について
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- CRID
- 1390282680744156416
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- NII Article ID
- 110001883719
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- NII Book ID
- AN10367166
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- ISSN
- 09172246
- 24240982
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- NDL BIB ID
- 4852980
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- Text Lang
- ja
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- Data Source
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- JaLC
- NDL
- CiNii Articles
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- Abstract License Flag
- Disallowed