• 제목/요약/키워드: smoothy measure

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NEW RESULTS ON STABILITY PROPERTIES FOR THE FEYNMAN INTEGRAL VIA ADDITIVE FUNCTIONALS

  • Lim, Jung-Ah
    • 대한수학회지
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    • 제39권4호
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    • pp.559-577
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    • 2002
  • It is known that the analytic operator-valued Feynman integral exists for some "potentials" which we so singular that they must be given by measures rather than by functions. Corresponding stability results involving monotonicity assumptions have been established by the author and others. Here in our main theorem we prove further stability theorem without monotonicity requirements.