Functions on the real line with nonnegative Fourier transforms

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概要

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• Unlike an integrable function on the unit circle which has the nonnegative Fourier coefficients and is square-integrable near the origin, an integrable function on the real line which has the nonnegative Fourier transform and is square-integrable near the origin is not always square-integrable on the real line. We give some examples, and consider an additional condition which guarantees the global square-integrability. Moreover, we treat an analogous problem for an integrable function on the real line which has non-negative wavelet coefficients of the Fourier transform and is squareintegrable near the origin.

• 東北大学の論文

著者

• Kawazoe Takeshi

  Department Of Mathematics Faculty Of Science And Technology Keio University

• Onoe Yoshikazu

  Department Of Mathematics Faculty Of Science And Technology Keio University

• Tachizawa Kazuya

  Mathematical Institute, Faculty of Science, Tohoku University

• Tachizawa Kazuya

  Mathematical Institute Faculty Of Science Tohoku University

• KAWAZOE TAKESHI

  Department of Mathematics, Faculty of Science and Technology, Keio University

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