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Stevan Pilipović (born 1950,
NSJOM – Novi Sad Journal of Mathematics (Novi Sad)
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Stevan Pilipović (born 1950, Novi Sad
Novi Sad ( sr-Cyrl, Нови Сад, ; hu, Újvidék, ; german: Neusatz; see below for other names) is the second largest city in Serbia and the capital of the autonomous province of Vojvodina. It is located in the southern portion of the Pan ...
, Serbia) is a Professor of Mathematics
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ...
, since 1987, at the Department of Mathematics and Informatics of Novi Sad University.
Biography
Since 2009, he is an academician of theSerbian Academy of Sciences and Arts
The Serbian Academy of Sciences and Arts ( la, Academia Scientiarum et Artium Serbica, sr-Cyr, Српска академија наука и уметности, САНУ, Srpska akademija nauka i umetnosti, SANU) is a national academy and the ...
. His research interests include functional analysis
Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (e.g. Inner product space#Definition, inner product, Norm (mathematics)#Defini ...
, generalized function
In mathematics, generalized functions are objects extending the notion of functions. There is more than one recognized theory, for example the theory of distributions. Generalized functions are especially useful in making discontinuous functions ...
s and hyperfunction
In mathematics, hyperfunctions are generalizations of functions, as a 'jump' from one holomorphic function to another at a boundary, and can be thought of informally as distributions of infinite order. Hyperfunctions were introduced by Mikio Sato ...
s, pseudo-differential operator
In mathematical analysis a pseudo-differential operator is an extension of the concept of differential operator. Pseudo-differential operators are used extensively in the theory of partial differential equations and quantum field theory, e.g. in ...
s, time–frequency analysis
In signal processing, time–frequency analysis comprises those techniques that study a signal in both the time and frequency domains ''simultaneously,'' using various time–frequency representations. Rather than viewing a 1-dimensional signal (a ...
, linear and nonlinear equations with singularities. Probability theory
Probability theory is the branch of mathematics concerned with probability. Although there are several different probability interpretations, probability theory treats the concept in a rigorous mathematical manner by expressing it through a set o ...
and stochastic process
In probability theory and related fields, a stochastic () or random process is a mathematical object usually defined as a family of random variables. Stochastic processes are widely used as mathematical models of systems and phenomena that appea ...
es. Moreover, he is also interested in applications of mathematics in mechanics
Mechanics (from Ancient Greek: μηχανική, ''mēkhanikḗ'', "of machines") is the area of mathematics and physics concerned with the relationships between force, matter, and motion among physical objects. Forces applied to objects r ...
with applications in medicine
Medicine is the science and practice of caring for a patient, managing the diagnosis, prognosis, prevention, treatment, palliation of their injury or disease, and promoting their health. Medicine encompasses a variety of health care pract ...
. Currently he is a president of the Novi Sad Branch of the Serbian Academy of Sciences and Arts and the leader of the Center of excellence Center for Mathematical Research in Nonlinear Phenomena at the Faculty of Science of Novi Sad University. He is Editor in chief of Publ. Inst. Math. (Beograd), NSJOM – Novi Sad Journal of Mathematics (Novi Sad)./ref>
Bibliography
* Pilipović, S., Stanković, B., Takači, A., ''Asymptotic of Generalized Functions and the Stieltjes Transformation of Distributions,'' Teubner Texte zur Mathematik, Band 116, 1990. * Nedeljkov, M., Pilipović, S., Scarpalezos, D., ''Linear Theory of Colombeau's Generalized Functions'', Addison Wesley, Longman, 1998. * Carmichael, R., Kaminski, A., Pilipović, S., ''Boundary Values and Convolution in Ultradistribution Spaces,'' ISAAC Series on Analysis Applications and Computations, Vol. 1, World Scientific, 2007. * Pilipović, S., Stanković, B., Vindas, J., ''Asymptotic behavior of generalized functions.'' Series on Analysis, Applications and Computation, 5. World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2012. * Atanacković, T. M., Pilipović, S., Stanković, B., Zorica, D., ''Fractional Calculus with Applica-tions in Mechanics: Vibrations and Diffusion Processes,'' ISTE – Wiley, 2014, London. * Atanacković, T. M., Pilipović, S., Stanković, B., Zorica, ''Fractional Calculus with Applications in Mechanics: Wave Propagation, Impact and Variational Principles,'' ISTE – Wiley, 2014, London.References