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General Appell systems

  • Philip Feinsilver
  • René Schott
Part of the Mathematics and Its Applications book series (MAIA, volume 347)

Abstract

Given two measures on RN, p1, p2, the convolution p1 * p2 is defined by the relation
$$\int {f(x)(p_1 * p_2 )(dx) = \iint {f(x + x\prime)p_1 (dx)p_2 (dx\prime)}}$$
for all bounded continuous functions f. In fact it is sufficient that this relation hold for all complex exponentials e iax , with aR N .

Keywords

Convolution Operator Jump Time Continuous Time Process Relation Hold White Noise Input 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • Philip Feinsilver
    • 1
  • René Schott
    • 2
  1. 1.Department of MathematicsSouthern Illinois UniversityCarbondaleUSA
  2. 2.CRINUniversité de Nancy 1Vandoeuvre-les-NancyFrance

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