Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Integral Transforms of Square Integrable Functionals on Yeh-Wiener Space

  • Kim, Byoung-Soo (School of Liberal Arts, Seoul National University of Technology)
  • Received : 2008.01.24
  • Accepted : 2008.04.01
  • Published : 2009.03.31
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Abstract

We give a necessary and sufficient condition that a square integrable functional F(x) on Yeh-Wiener space has an integral transform $\hat{F}_{{\alpha},{\beta}}F(x)$ which is also square integrable. This extends the result by Kim and Skoug for functional F(x) in $L_2(C_0[0,T])$.

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References

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Cited by

  1. RELATIONSHIPS AMONG FOURIER-YEH-FEYNMAN TRANSFORM, CONVOLUTION AND THE FIRST VARIATION ON YEH-WIENER SPACE vol.33, pp.2, 2011, https://doi.org/10.5831/HMJ.2011.33.2.207