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Sampling signals with finite set of apertures [PDF]

Омский научный вестник, 2021
The article discusses the issue of sampling continuous signals using a finite set of apertures. Using the apparatus of generalized functions, an analytical form of sampling is obtained for ideal sampling, for sampling a limited signal and for ...
V. I. Guzhov, I. O. Marchenko, E. E. Trubilina, A. A. Trubilin   +3 more
doaj   +1 more source

Review of Methods, Applications and Publications on the Approximation of Piecewise Linear and Generalized Functions

Mathematics, 2022
Approximation of piecewise linear and generalized functions is an important and difficult problem. These functions are widely used in mathematical modeling of various processes and systems, such as: automatic control theory, electrical engineering, radio
Sergei Aliukov, Anatoliy Alabugin, Konstantin Osintsev   +2 more
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Bitensorial formulation of the singularity method for Stokes flows

Mathematics in Engineering, 2023
This paper develops the bitensorial formulation of the system of singularities associated with unbounded and bounded Stokes flows. The motivation for this extension is that Stokesian singularities and hydrodynamic fundamental solutions are multi-point ...
Giuseppe Procopio, Massimiliano Giona
doaj   +1 more source

GENERALIZED THERMAL ZETA-FUNCTIONS [PDF]

, 1995
We calculate the partition function of a harmonic oscillator with quasi-periodic boundary conditions using the zeta-function method. This work generalizes a previous one by Gibbons and contains the usual bosonic and fermionic oscillators as particular ...
Actor, Ambjorn, Boschi-Filho, C. Farina, Das, Dowker, Elizalde, Elizalde, Finkelstein, Ford, Ghika, Gibbons, Gradshteyn, H. Boschi-Filho, Hansson, Hawking, Kirsten, Leinaas, Salam, Toms, Whittaker   +20 more
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Generalized Functions And Calculus Operators Of Mathematica Applied To Evaluation Of Influence Lines And Envelopes Of Statically Indeterminate Beams

Transactions of the VŠB: Technical University of Ostrava, Civil Engineering Series, 2015
The paper presents an analytical method of finding functions of influence lines of statically indeterminate beams. There are presented solutions of a fourth order equation with a right hand side with second and third derivative of Dirac delta.
Walentyński Ryszard
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‎On Generalized Mixture Functions [PDF]

Transactions on Fuzzy Sets and Systems, 2022
In the literature it is very common to see problems in which it is necessary to aggregate a set of data into a single one‎. ‎An important tool able to deal with these issues is the aggregation functions‎, ‎which we can highlight as the OWA functions ...
Antonio Diego Silva Farias, Valdigleis da Silva Costa, Luiz Ranyer A. Lopes, Regivan Hugo Nunes Santiago, Benjamin Bedregal   +4 more
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The Fractional Derivative of the Dirac Delta Function and Additional Results on the Inverse Laplace Transform of Irrational Functions

Fractal and Fractional, 2021
Motivated from studies on anomalous relaxation and diffusion, we show that the memory function M(t) of complex materials, that their creep compliance follows a power law, J(t)∼tq with q∈R+, is proportional to the fractional derivative of the Dirac delta ...
Nicos Makris
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Functionals with values in the non‐Archimedean field of Laurent series and their applications to the equations of elasticity theory

Mathematical Modelling and Analysis, 2003
Functionals with values in Non‐Archimedean field of Laurent series applied to the definition of generalized solution (in the form of shock wave) of the Hopf equation and equations of elasticity theory.
M. Radyna
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Computation of generalized matrix functions [PDF]

, 2015
We develop numerical algorithms for the efficient evaluation of quantities associated with generalized matrix functions [J. B. Hawkins and A. Ben-Israel, Linear and Multilinear Algebra 1(2), 1973, pp. 163-171].
Arrigo, Francesca, Benzi, Michele, Fenu, Caterina   +2 more
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Characterization of Hankel transformable generalized functions

International Journal of Mathematics and Mathematical Sciences, 1991
In this paper we prove a characterization theorem for the elements of the space H′μ of generalized functions defined by A. H. Zemanian.
J. J. Betancor
doaj   +1 more source