Semigroups generated by a convolution equation

1984 ◽  
pp. 209-226 ◽  
Author(s):  
O. J. Staffans
Keyword(s):  
Convolution Equation

Fluctuations of random walk in R d and storage systems

1977 ◽  
Vol 9 (03) ◽  
pp. 566-587 ◽  
Author(s):  
Priscilla Greenwood ◽  
Moshe Shaked
Keyword(s):  
Random Walk ◽  
Unique Solution ◽  
Convex Cone ◽  
Storage Systems ◽  
Queueing Systems ◽  
Convolution Equation ◽  
Stopping Times ◽  
Multivariate Distributions ◽  
Explicit Formulas ◽  
And Storage

Two Wiener-Hopf type factorization identities for multivariate distributions are introduced. Properties of associated stopping times are derived. The structure that produces one factorization also provides the unique solution of the Wiener-Hopf convolution equation on a convex cone in R d . Some applications for multivariate storage and queueing systems are indicated. For a few cases explicit formulas are obtained for the transforms of the associated stopping times. A result of Kemperman is extended.

Approximation theorem for a homogeneous vector convolution equation

2004 ◽  
Vol 195 (9) ◽  
pp. 1271-1289
Author(s):  
I F Krasichkov-Ternovskii
Keyword(s):  
Approximation Theorem ◽  
Convolution Equation ◽  
Homogeneous Vector

scholarly journals The effect of kernel perturbations when solving the interconversion convolution equation of linear viscoelasticity

2011 ◽  
Vol 24 (1) ◽  
pp. 71-75 ◽  
Author(s):  
R.S. Anderssen ◽  
A.R. Davies ◽  
F.R. de Hoog
Keyword(s):  
Linear Viscoelasticity ◽  
Convolution Equation

scholarly journals Mean-periodic functions

1980 ◽  
Vol 3 (2) ◽  
pp. 199-235 ◽  
Author(s):  
Carlos A. Berenstein ◽  
B. A. Taylor
Keyword(s):  
Partial Differential Equations ◽  
Periodic Function ◽  
Entire Functions ◽  
Convolution Equation ◽  
Complex Variables ◽  
Several Complex Variables ◽  
Exponential Polynomial ◽  
Periodic Functions ◽  
Open Questions ◽  
Constant Coefficients

We show that any mean-periodic functionfcan be represented in terms of exponential-polynomial solutions of the same convolution equationfsatisfies, i.e.,u∗f=0(μ∈E′(ℝn)). This extends ton-variables the work ofL. Schwartz on mean-periodicity and also extendsL. Ehrenpreis' work on partial differential equations with constant coefficients to arbitrary convolutors. We also answer a number of open questions about mean-periodic functions of one variable. The basic ingredient is our work on interpolation by entire functions in one and several complex variables.

Convolution Equation in —Propagation of Singularities

2001 ◽  
Vol 44 (1) ◽  
pp. 105-114
Author(s):  
Stevan Pilipović
Keyword(s):  
Convolution Equation ◽  
Singular Spectrum ◽  
Propagation Of Singularities

AbstractThe singular spectrum of u in a convolution equation μ*u = f, where μ and f are tempered ultra distributions of Beurling or Roumieau type is estimated byThe same is done for SS*u.

The convolution equation of Choquet and Deny on nilpotent groups

1996 ◽  
Vol 26 (1) ◽  
pp. 1-13 ◽  
Author(s):  
Cho-Ho Chu ◽  
Titus Hilberdink
Keyword(s):  
Nilpotent Groups ◽  
Convolution Equation

The Choquet-Deny convolution equation ?=?*? for probability measures on Abelian semigroups

1990 ◽  
Vol 3 (2) ◽  
pp. 361-365 ◽  
Author(s):  
G�bor J. Sz�kely ◽  
Wei-Bin Zeng
Keyword(s):  
Convolution Equation ◽  
Probability Measures

Fluctuations of random walk in Rd and storage systems

1977 ◽  
Vol 9 (3) ◽  
pp. 566-587 ◽  
Author(s):  
Priscilla Greenwood ◽  
Moshe Shaked
Keyword(s):  
Random Walk ◽  
Unique Solution ◽  
Convex Cone ◽  
Storage Systems ◽  
Queueing Systems ◽  
Convolution Equation ◽  
Stopping Times ◽  
Multivariate Distributions ◽  
Explicit Formulas ◽  
And Storage

Two Wiener-Hopf type factorization identities for multivariate distributions are introduced. Properties of associated stopping times are derived. The structure that produces one factorization also provides the unique solution of the Wiener-Hopf convolution equation on a convex cone in Rd. Some applications for multivariate storage and queueing systems are indicated. For a few cases explicit formulas are obtained for the transforms of the associated stopping times. A result of Kemperman is extended.

ON THE EXPANSION OF ANALYTIC FUNCTIONS IN A SERIES OF ELEMENTARY SOLUTIONS OF A CONVOLUTION EQUATION

1991 ◽  
Vol 69 (2) ◽  
pp. 597-605
Author(s):  
V V Napalkov ◽  
A V Komarov
Keyword(s):  
Analytic Functions ◽  
Convolution Equation
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