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International Conference Cyber-Physical Systems and Control

CPS&C 2019: Cyber-Physical Systems and Control pp 178–186Cite as

“Moment” Representation of “Fast Decreasing” Generalized Functions and Their Application in Stochastic Problems

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Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 95))

Abstract

This paper describes the process of building a special space of generalized functions, its properties and applications. Presented applications are: constructive solution of Kolmogorov-Feller type equation with polynomial drift coefficient; proof of the exponential nature of equilibrium establishment in rarefied gas, described by Boltzmann equation of kinetic theory of gases.

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References

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Author information

Authors and Affiliations

  1. Peter the Great St. Petersburg Polytechnic University, Saint Petersburg, Russia

    Andrey N. Firsov

Authors
  1. Andrey N. Firsov
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Corresponding author

Correspondence to Andrey N. Firsov .

Editor information

Editors and Affiliations

  1. Peter the Great St. Petersburg Polytechnic University, Saint Petersburg, Russia

    Dmitry G. Arseniev

  2. Institute of Transport and Automation Technology, Leibniz Universität Hannover, Garbsen, Niedersachsen, Germany

    Ludger Overmeyer

  3. Machine Vision and Pattern Recognition Laboratory, Lappeenranta University of Technology, Lappeenranta, Finland

    Heikki Kälviäinen

  4. Institute of Production Engineering and Photonic Technologies, Vienna University of Technology, Vienna, Austria

    Branko Katalinić

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Firsov, A.N. (2020). “Moment” Representation of “Fast Decreasing” Generalized Functions and Their Application in Stochastic Problems. In: Arseniev, D., Overmeyer, L., Kälviäinen, H., Katalinić, B. (eds) Cyber-Physical Systems and Control. CPS&C 2019. Lecture Notes in Networks and Systems, vol 95. Springer, Cham. https://doi.org/10.1007/978-3-030-34983-7_18

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  • DOI: https://doi.org/10.1007/978-3-030-34983-7_18

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-34982-0

  • Online ISBN: 978-3-030-34983-7

  • eBook Packages: EngineeringEngineering (R0)

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