@MISC{INTEGR10.MIZ,
  AUTHOR = {Yamazaki, Masahiko and Yamazaki, Hiroshi and
     Shidama, Yasunari and Nakamura, Yatsuka},
  TITLE = {Extended {R}iemann Integral of Functions of Real Variable
     and One-sided {L}aplace Transform},
  NOTE = {This work has been partially supported by the MEXT
    grant Grant-in-Aid for Young Scientists (B)16700156.},
  ACKNOWLEDGEMENT = {We would like to express our thanks to
    Prof. Yatsuka Nakamura.},
  SECTION1 = {Preliminaries},
  SECTION2 = {The Definition of Extended Riemann Integral},
  SECTION3 = {Linearity of Extended Riemann Integral},
  SECTION4 = {The Definition of One-Sided Laplace Transform},
  SECTION5 = {Linearity of One-Sided Laplace Transform},
  DAY = {22},
  MONTH = {July},
  YEAR = {2008},
  ADDRESS1 = {Shinshu University\\Nagano, Japan},
  ADDRESS2 = {Shinshu University\\Nagano, Japan},
  ADDRESS3 = {Shinshu University\\Nagano, Japan},
  ADDRESS4 = {Shinshu University\\Nagano, Japan},
  SUMMARY = {In this article, we defined a variety of extended
    Riemann integrals and proved that such integration is linear.
    Furthermore we defined the one-sided Laplace transform and
    proved the linearity of that operator.}}

