• Title/Summary/Keyword: fourier

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UNIQUE CONTINUATION FOR SCHRӦDINGER EQUATIONS

  • Shin, Se Chul;Lee, Kyung Bok
    • Journal of the Chungcheong Mathematical Society
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    • v.15 no.2
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    • pp.25-34
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    • 2003
  • We prove a local unique continuation for Schr$\ddot{o}$dinger equations with time independent coefficients. The method of proof combines a technique of Fourier-Gauss transformation and a Carleman inequality for parabolic operator.

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Ghost Imaging and Fractional Fourier Transformation

  • Jo, Gi-Yeong;No, Jae-U
    • Proceedings of the Optical Society of Korea Conference
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    • 2009.02a
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    • pp.317-318
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    • 2009
  • SPDC 를 이용한 Ghost imaging에서 signal과 idler 사이의 공간적 상관관계가 Fractional Fourier Transformation으로 알려진 관계를 따르며 이를 이용해 위상공간에서의 EPR 상태의 특성을 실험으로 구현할 수 있음을 보이려 한다. 또한 고전적인 경우와의 차이를 보이려 한다.

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EXACT FORMULA FOR JACOBI-EISENSTEIN SERIES OF SQUARE FREE DISCRIMINANT LATTICE INDEX

  • Xiong, Ran
    • Bulletin of the Korean Mathematical Society
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    • v.57 no.2
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    • pp.481-488
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    • 2020
  • In this paper we give an exact formula for the Fourier coefficients of the Jacobi-Eisenstein series of square free discriminant lattice index. For a special case the discriminant of lattice is prime we show that the Jacobi-Eisenstein series corresponds to a well known Eisenstein series of modular forms.

THE TRANSFORMATION THEOREM ON ANALOGUE OF WIENER SPACE

  • Im, Man-Kyu
    • The Pure and Applied Mathematics
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    • v.14 no.4
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    • pp.317-333
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    • 2007
  • In 2002, the author and professor Ryu introduced the concept of analogue of Wiener measure. In this paper, we prove the existence theorem of Fourier-Feynman transform on analogue of Wiener measure in $L_2-norm$ sense.

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Planar Waveguide Devices for Communication and Sensing Applications

  • Okamoto, Katsunari
    • Journal of the Optical Society of Korea
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    • v.14 no.4
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    • pp.290-297
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    • 2010
  • The paper reviews progress and future prospects of two kinds of planar waveguide devices; they are (a) silica and silicon photonics multi/demultiplexers for communications and signal processing applications, and (b) a novel waveguide spectrometer based on Fourier transform spectroscopy for sensing applications.

Change Analysis with the Sample Fourier Coefficients

  • Jaehee Kim
    • Communications for Statistical Applications and Methods
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    • v.3 no.1
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    • pp.207-217
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    • 1996
  • The problem of detecting change with independent data is considered. The asymptotic distribution of the sample change process with the sample Fourier coefficients is shown as a Brownian Bridge process. We suggest to use dynamic statistics such as a sample Brownian Bridge and graphs as statistical animation. Graphs including change PP plots are given by way of illustration with the simulated data.

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Digital Holography for 3D Color Display of Real Objects incoherently illuminated

  • Yatagai, Toyohiko;Sando, Yusuke
    • 한국정보디스플레이학회:학술대회논문집
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    • 2005.07a
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    • pp.117-120
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    • 2005
  • The proposed method is based on extracting information from 3-D Fourier spectra calculated from some projection incoherent images. Three colored computer-generated holograms (CGHs) are synthesized from 3-D Fourier spectra. Optically reconstructed full-color images are presented.

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