Open Access

# An exponential representation for some integrals with respect to Lebesgue-Poisson measure

### Abstract

We prove a theorem that allows to simplify some combinatorial calculations. An example of application of this theorem in statistical mechanics is given.

Key words: Continuous classical system, stable interaction, Poisson analysis, great partition function.

### Article Information

 Title An exponential representation for some integrals with respect to Lebesgue-Poisson measure Source Methods Funct. Anal. Topology, Vol. 20 (2014), no. 2, 186-192 MathSciNet MR3242866 zbMATH 1313.82003 Milestones Received 03/04/2013; Revised 16/10/2013 Copyright The Author(s) 2014 (CC BY-SA)

### Authors Information

V. A. Boluh
Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs'ka, Kyiv, 01601, Ukraine

A. L. Rebenko
Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs'ka, Kyiv, 01601, Ukraine

### Citation Example

V. A. Boluh and A. L. Rebenko, An exponential representation for some integrals with respect to Lebesgue-Poisson measure, Methods Funct. Anal. Topology 20 (2014), no. 2, 186-192.

### BibTex

@article {MFAT692,
AUTHOR = {Boluh, V. A. and Rebenko, A. L.},
TITLE = {An exponential representation for some integrals with respect to Lebesgue-Poisson measure},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {20},
YEAR = {2014},
NUMBER = {2},
PAGES = {186-192},
ISSN = {1029-3531},
MRNUMBER = {MR3242866},
ZBLNUMBER = {1313.82003},
URL = {http://mfat.imath.kiev.ua/article/?id=692},
}