Curriculum Vitae

Stevan Pilipović

Contents

1 Address
2 Personal Address
3 Phone numbers
4 Personal Data
5 Education
6 Working experience
7 Mathematical Specialization
8 Visiting
9 Position Held
10 Courses
11 Theses
12 Selected list of Monographs and Papers
12.1 Monographs
12.2 Papers
12.2.1 Convolution, integral transformations, Abelian and Tauberian theorems in distribution spaces
12.2.2 Ultradistribution spaces, Boundary values
12.2.3 Generalized stochastic processes
12.2.4 Applications in Mathematical Physics
12.2.5 Semigroups
12.2.6 Colombeau algebras; Linear theory and pseudodifferential operators
12.2.7 Linear and nonlinear equations with singularities
12.2.8 Hyperfunctions, Microlocal analysis
12.2.9 Wavelets, Ultramodalation spaces

1 Address

Faculty of Sciences and Mathematics, University of Novi Sad,
Trg Dositeja Obradovica 4, 21000 Novi Sad.

2 Personal Address

Momcila Tapavice 26
21000 Novi Sad, Serbia

3 Phone numbers

Office Telephone: (381 21) 458-136.
Home Telephone: (+381 64) 218 93 98.

4 Personal Data

Date of birth: May 24, 1950.

Place of birth: Novi Sad.

Citizenship: Serbian.

5 Education

1969-1973 B.S. Mathematics, Faculty of Sciences, Novi Sad;

1977 M.S. Mathematics, Faculty of Sciences, Belgrade;

1979 Ph.D. Mathematics, Faculty of Sciences, Novi Sad;

1983 Postdoctoral studies, University of Kiel (three months).

6 Working experience

1987- Full Professor, Faculty of Sciences, University of Novi Sad;

1985-1987 Associate Professor, Faculty of Sciences, University of Novi Sad;

1980-1985 Assistant Professor, Faculty of Sciences, University of Novi Sad;

1973-1980 Teaching Assistant, Faculty of Sciences, University of Novi Sad.

7 Mathematical Specialization and professional activities

Generalized functions, Integral transformations, Pseudodifferential operators, Hyperfunctions, Microlocal analysis, Linear and nonlinear equations with singularities.

8 Visiting

9 Position Held

At Faculty of Sciences and Mathematics, University of Novi Sad

1973-1980, Teaching Assistant,

1980-1985, Assistant Professor,

1985-1987, Associated Professor,

1987- Full Professor,

2003- Corresponding Member of the Serbian Academy of Sciences and Arts.

10 Courses

11 Theses

  1. Master Thesis:

    Family of Operators on A'
    (Familija operatora na prostoru A'),
    Belgrade 1977.

  2. Doctoral Thesis:

    On Some Spaces of Generalized Functions From the Point of View of Sequential Theory
    (O nekim prostorima uopątenih funkcija sa stanoviąta sekvencijalne teorije),
    Novi Sad, 1979.

    Mentor of 19 doctoral thesis
    M. Stojanovi ć , Z. Crvenković , D. Kovačevi ć , M. Nedeljkov, M. Mijatovi ć , R. Kravarušić , A. Bučkovska, N. Teofanov, M. Vidanović , Lj. Nastoski (comentor), M. Kosti ć , B. Iričanin, K. Saneva, D. Seleši, D. Zorica (comentor), D. Doličanin (comentor), V. Reckoski, B. Savić, J. Aleksić
    and 20 master thesis
    D. Kovačević , M. Nedeljkov, D. Rajter, N. Đapić , R. Radović , M. Kostić , D. Mitrović , S. Konjik, A. Vlahek (comentor), Lj. Oparnica (comentor), R. Mirkov, D. Seleši, K. Saneva (comentor), M. Vuletić , D. Rakić (comentor), J. Aleksić, D. Zorica (comentor), M. Janev, N. Stojanović, M. Žigić

12 Selected list of Monographs and Papers

S. Pilipović has more than 160 scientific papers on international journals and more than 28 papers on proceedings of international conferences. Citations without autocitations in international journals, more than 400.

Complete lists of scientific papers and monographs in international publication
houses and separately in domestic publication houses are given in separate lists below.

Here is the subject selected list .

12.1 Monographs and lecture notes

  1. Pilipović, S., Stanković, B., Takači, A., Asymptotic of generalized functions and the Stieltjes transformation of distributions, Toubner Texte zur Mathematik, Band 116, 1990.
  2. Nedeljkov, M., Pilipović, S., Scarpalezos, D., Linear Theory of Colombeau's Generalized Functions, Addison Wesley, Longman (1998).
  3. Pilipović, S., Colombeau`s generalized functions and the pseudo-differential calculus, Lecture Notes in Mathematics, Sci., Univ., Tokyo, 1994.
  4. Carmichael, R., Kam činski, A., Pilipović, S., Notes on Boundary Values in Ultradistribution Spaces, Lecture Notes series of Seul University, 49, 1999.

12.2 Papers

12.2.1 Convolution, integral transformations, Abelian and Tauberian theorems in distribution spaces

  1. Kaminski, A., Pilipović, S., Spaces of Exponential Distributions, Studia Math., LXXVII (1984), 489-498.
  2. Pilipović, S., Convolution in the Space of K'{Mp} - type, Math. Nachr., 120 (1985), 103-112.
  3. Pilipović, S., An Inversion Theorem for the Stieltjes Transform of Distributions, Proc. Edinburgh Math. Soc., 29 (1986), 171-185.
  4. Pilipović, S., Stanković, B., Abelian theorem for the distributional Stieltjes transform, Z. Anal. Anwendungen, 6(4)(1987), 341-349.
  5. Pilipović, S., Complex Inversion Formula for the Distributional Stieltjes Transform, Proc. Edinburgh Math.Soc., 30 (1987), 363-371.
  6. Pilipović, S., Stanković, B., Initial Value Abelian Theorem for the Distributional Stieltjes Transform, Studia Math., 86 (1987), 239-254.
  7. Pilipović, S., Hilbert Transformation of Beurling ultradistributions, Rend. Sem. Math. Univ. Padova, 77 (1987), 1-13.
  8. Pilipović, S., On the Quasiasymptotic of Schwartz Distributions, Math. Nachr., 137 (1988), 19-25.
  9. Pilipović, S., On the Behaviour of a Distribution at the Origin, Math. Nachr., 141 (1989), 27-32.
  10. Pilipović, S., On regular K'{Mp} distributions, Annal Polon. Math. XLVIII (1988), 31-39.
  11. Pilipović, S., Stanković, B., S - asymptotic of a distribution, Pliska Studia Math. Bulgarika, 10 (1989), 147-156.
  12. Pilipović, S., On the Behaviour of the Distributional Stieltjes Transformation at the Origin, Z. Anal. Adwendungen, 8 (1989), 169-176.
  13. Pilipović, S., A note on convergence in S' , Proc. Amer. Math. Soc., 111 (1991), 949-954.
  14. Pilipović, S., Quasiasymptotic and the translation asymptotic behaviour of distributions, Acta Math. Hungarica, 55(1990), 239-243.
  15. Pilipović, S., Stanković, B., Wiener Tauberian Theorems for Distributions, J.. London Math. Soc., (2) 47 (1993), 507-515.
  16. Pilipović, S., Stanković, B., Structural theorems for S-asymptotic and quasiasymptotic of distributions, Math. Panonica, 4 (1993), 23-35.
  17. Abdullah, S., Pilipović, S., Bounded subsets in spaces of distributions of Lp-growth, Hokkaido Math. J., 23(1994), 51-54.
  18. Nikolić-Despotović, D., Pilipović, S., The quasiasymptotic expansion at the origin. Abelian-type results for the Laplace and Stieltjes transforms, Math. Nachr., 174 (1995), 231-238..
  19. Pilipović, S., Stojanović, M., Modified Bessel Transform on the Spaces LG' a , Indian J. Pure Appl. Math., 27 (1996), 265-275.
  20. Pilipović, S., Stanković, B., Tauberian theorems for integral transforms of distributions, Acta Math. Hungarica, 74 (1997), 135-153.
  21. Kaminski, A., Perišić, D., Pilipović, S., Hilbert transform and singilar integral transform on tempered ultradistributions, Banach Center Publ. 53(2000), 139-153.
  22. Pilipović, S., Stojanović, M., Nikolić-Despotović, D., The quasiasymptotic expansion at the origin. Abelian-type results for the Laplace and Stiltjes transforms, Publ. Math. Debrecen, 57(2000), 11-23.
  23. Bučkovska, A., Pilipović, S., An exstension of bilinear Hilbert transform to distributions, Integral Transforms and Special Functions, 13(2002), 1-15.
  24. Kaminski, A., Perišić, D., Pilipović, S., On the Convolution in Gel'fand-Shilov Spaces, Integral Transforms and Special Functions, 11(2001), 363-376.

12.2.2 Ultradistribution spaces, Boundary values

  1. Pilipović, S., Generalization of Zemanian Spaces of Generalized Functions Which Elements Have Series Expansion, SIAM J. Math. Anal., 17 (1986), 477-484.
  2. Pilipović, S., Structural Theorems for Periodic Ultradistributions, Proc. Amer. Math. Soc., 98 (1986), 261-266.
  3. Pilipović, S., Tempered Ultradistributions, Boll. Uni. Math. Ital., (7)2-B (1988), 235-251.
  4. Pilipović, S., Beurling-Gevrey tempered ultradistributions as boundary values, Portugaliae Math., 48,4(1991), 483-504.
  5. Carmichael, R., Pilipović, S., On the convolution and Laplace transformation in the space of Beurling-Gevrey tempered ultradistributions, Math. Nachr., 158 (1992), 119-132.
  6. Carmichael, R.,Pathak R.S., Pilipović, S., Holomorphic functions in tubes associated with ultradistributions, Complex Variables Theory Appl., 21 (1993), 49-72.
  7. Pilipović, S., Characterization of bounded sets in spaces of ultradistributions, Proc. Amer. Math. Soc., 120 (1994), 1191-1206.
  8. Carmichael, R., Pilipović, S., Boundary values in Ultradistribution spaces, q-dimensional case, Trudy Math. Inst. Steklov, 203(1994), 307-322.
  9. Kaminski, A., Kovačević, D., Pilipović, S., On the convolution of ultradistributions, Dissert. Math., (1995), 79-91.
  10. Pilipović, S., Elements of D' (Mp)Ls and D' { Mp} Ls as boundary values of holomorphic functions, J. Math. Anal. Appl., 203 (1996), 719-737.
  11. Pilipović, S., Stanković, B., Wiener Tanberian theorems fer hyperfunctions, Zeicr. Math. Anal. Anwend., 21(2002), 1027-1042.
  12. Carmichael, R., Pilipović, S., The Cauchy and Poisson kernels as ultradifferential functions, Complex Variables Theory and Appl., 35(1998), 171-186.
  13. Carmichael, R., Pilipović, S., Cauchy and Poissons Kernels for Tubes, Integral Transforms and Special Functions 6(1998), 9-14.
  14. Pilipović, S., Stanković, B., Convergence in the Space of Fourier Hyperfunctions, Proc Japan Academy, LXXIII, A(1997), 33-35.
  15. Carmichael, R., Pilipović, S., Boundary values in ultradistribution spaces, Complex Variables Theory Appl., 35(1998), 195-207.
  16. Eida, A. Pilipović, S., On the microlocal decomposition of some classes of hyperfunctions, Math. Proc. Camb. Phil. Soc., 125(1999), 455-461.
  17. Eida, A., Pilipović, S., Suppleness of Some Quotient Spaces of Microfunctions, Rocky Math. J., 30(2000), 165-177.
  18. S. Pilipović, D. Scarpalezos, Regularity Properties of Distributions and Ultradistributions, Proc. Amer. Math. Soc., 129(2001), 3531-3537.
  19. Bučkovska, A., Pilipović, S., Bilinear Hilbert Transform of Ultradistributions, Integral Transforms and Special Functions, 13(2002), 211-221.
  20. Pilipović, S., Convolution equation in S**- propagation of singularities, Canad. Math. Bull. 44(2001), 105-114.
  21. Pilipović, S., Stanković, B., Wiener Tanberian theorems fer hyperfunctions, Zeicr. Math. Anal. Anwend., 21(2002), 1027-1042.
  22. Kaminski, A., Perišić, D., Pilipović, S., On the convolution in the space of tempered ultradistributions of Beurling type, Integral Transforms Spec. Funct., 15 (2004), 323-329.

  23. Eida, A., Pilipović, S., Composition of Ultradistributions and Corresponding Microfunctions, Rocky Math. J., 35(2005), 137-147.

  24. Milenković, o., Pilipović, S., Fine Resolution of the Sheaf of Germs of Holomorphic Projective Vector fields, Revue Roumanie de Mathematiques Pures at Appliquees, XLIX, 5-6 (2004), 481-499.

  25. Pilipović, S., Vuletić, M., Characterization of wave front sets by wavelet transforms, Tohoku J. Math. 2006., 58(2006), 369-391.

12.2.3 Generalized stochastic processes

  1. Lozanov-Crvenković, Z., Pilipović, S., On some Classes of Generalized Random Linear Functionals, J. Math. Anal. Appl., 129, 2 (1988) 433-442.
  2. Lozanov Crvenković, Z., Pilipović, S., Representation theorems Gaussian generalized random processes on W ×C(0,1) and W ×L1(G), Math. Japonica, 37, 5 (1992), 897-908.
  3. Lozanov-Crvenković, Z., Pilipović, S., Gaussian Generalized Random Processes on K(Mp)-spaces, J. Math. Anal. Appl.,181 (1994), 755-761.
  4. Pilipović, S., Seleši, D., Expansion Theorems for Generalized Random Processes, Wick Products and Applications to Stochastic Differential Equations, Infinite Dimensional Analysis, Quantum Probability and related Topics, (2007) to appear.
  5. Pilipović, S., Seleši, D., Structure theorems for functional generalized random processes, Acta Math. Hung., (2007) to appear.

12.2.4 Applications in Mathematical Physics and Mechanics

  1. Kapor, D., Škrinjar, M., Pilipović, S., Goldhirsch bosonisation approach to particular spin function, Physics Letters A, 155 (1991), 140-144.
  2. Tošić, B., Pilipović, S., Generalized Green Functions, Physica A, 216 (1995), 333-352.
  3. Pilipović, S., Stojanović, M., Voltera - type equations in j + , Math. Notes, 75( 200 4), 124-130. .
  4. Atanacković, T., Oparnica, Lj., Pilipović, S.,On a model of viscoelastic rod in unilateral contact with a rigid wall, Ima J. Appl Math, (2006) 71, 1-13
  5. Atanacković T., Pilipović S., On a class of equations arising in linear viscoelasticity theory, ZAMM Z. Angew. Math. Mech., 85 (2005), 748-754.
  6. Atanacković T., Budinčević M., Pilipović S., On a Fractional Distributed order Oscillator, J. Phys. A: Math. Gener., 38 (2005), 6703-6713.
  7. Atanacković, T., Pilipović, S., On a class of equations arising in linear viscoelastic theory, ZAAM Z. Angew. Math. Mech., 85(2005), 748-785.
  8. Pilipović, S., Stojanović, M., Fractional differential equations through Laguerre expansions in abstract spaces, Int. Tr. Spec. Funct., 17(2006), 877-887.
  9. Atanacković, T., Oparnica, Lj., Pilipović, S., On a model of viscollastic rod in unilateral contact with rigid wall, IMA J. Appl. Math, 71(2006), 1-13..
  10. Atanacković, T., Oparnica, Lj., Pilipović, S., On a nonlinear distributed order fractional differential equation, J. Math. Anal. Appl., 328(2007), 1321-1335.
  11. Atanacković, T., Pilipović, S., Zorica, D., diffusion-Wave Equation with two fractional Derivatives, J. Phys. A(Ser. Math.), (2007) to appear.

12.2.5 Semigroups

  1. Mijatović, M., Pilipović, S., Vajzović, F., a -times integrated semigroups, J. Math. Anal. Appl., 210 (1997), 790-803.
  2. Pap, E., Pilipović, S., Semigroups of operators on the spaces Exp A', J. Math. Anal. Appl., 126 (1987), 501-515.
  3. Kostić, M., Pilipović, S., Global Convoluted semigroups, Math. Nachr., (2007) to appear .
  4. P. Kustmann, M. Mijatović, S. Pilipović , Classes of distribution semigroups, submitted to Studia math. (2003.)
  5. Kostić, M., Pilipović, S., Generalized Semigroups ultradistributions and hyperfunction Semigroups,

12.2.6 Colombeau algebras; Linear theory and pseudodifferential operators

  1. Pilipović, S., Colombeau's generalized functions and the pseudo-differential calculus, Lect. in Math. Sci., Univ. Tokyo, (1994).
  2. Nedeljkov M., Pilipović, S., Paley-Wiener type theorems for Colombeau's generalized functionos, J. Math. Anal. Appl. 195 (1995), 108-122.
  3. Nedeljkov, M., Pilipović, S., Convergence in new generalized function spaces, Acta Sci. Math.(Szeged), 62 (1996), 231241.
  4. Pilipović, S., Scarpalezos, D., Colombeau Generalized Ultradistributions, Math. Proc. Camb. Phil. Soc., 130(2001), 541-553.
  5. Oberguggenbrger, M., Pilipović, S., Valmorin, V., Global holomorphic representatives of Colombeau Holomorphic Generalized Functions, Monac. Math., 2007., to appear.

12.2.7 Linear and nonlinear equations with singularities

  1. Nedeljkov, M., Pilipović, S., Scarpalézos, D., Division problem and partial differential equations with constant coefficients in Colombeau's space of new generalized functions, Monachefte Math., 122 (1996),157-170.
  2. Pilipović, S., Scarpalézos, D., Differential operators with generalized constant coefficients, Portug. Math., 53 (1996), 305-324.
  3. Nedeljkov, M., Pilipović, S., Generalized solution to a semilinear hyperbolic system with a non-Lipshitz nonlinearity, Monach. Math., 125 (1996), 255-261.
  4. Nedeljkov, M., Pilipović, S., Hypoelliptic differential operators with generalized constant coefficients, Proc. Edinburgh Math. Soc., 41 (1996), 47-60.
  5. Nedeljkov, M., Pilipović, S., A Note on a Semilinear Hyperbolic system with Generalized Functions as Coefficients, Nonlinear Analysis, Theory, Methods, Applications, 30(1997), 41-46.
  6. Pilipović, S., Stojanović, M., Generalized Solutions to Nonlinear Volterra Integral Equation with a Non-Lipschitz Nonlinearity, Nonlinear Analysis, Theory, Methods, Applications, 37 (1998), 319-335.
  7. Đapić, N., Kunzinger, M., Pilipović, S., Symmetry group analysis of weak solutions, Proc. London Math. Soc., 84(2002), 686-710.
  8. Hoermann, G., Oberguggenberger, M., Pilipović, S., Microlocal Hypoellipticity of linear Differential operators with generalized functions as coefficients, Trans. AMS, 2004, in press.
  9. Nedeljkov, M., Oberguggenberger, M., Pilipović, S., Generalized solutions to a semilinear wave equation, Nonlin. Anal., Th. Meth. Appl., 61(2005), 461-475.

  10. Nedeljkov, M., Pilipović S., Rajter D., Heat Equation with Singular Patential and Singular Data, Proc. Royal Soc. Edinburgh, 135 (2005), 863-886.

  11. Mitrovi ć, D., Pilipović, S., Approximations of linear Dirichlet problems with singularities, J. Math. Anal. Appl., 313(2006), 98-119.
  12. Hoermann, G., Oberguggenberger, M., Pilipović, S., Microlocal Hypoellipticity of linear Differential operators with generalized functions as coefficients, Trans. AMS, 358(2006) 3363-3383.
  13. Pilipović, S., Scarpalezos, D., Divergent type quasilinear Dirichlet problem with singularities, Acta Appl. Math., 18(2006), 789-802.

12.2.8 Local and microlocal analysis in algebras of generalized functions

  1. Djapić, N., Pilipović, S., Microlocal analysis of Colombeau's generalized functions on a manifold, Indag. Math.,7 (1996), 293-309.
  2. Pilipović, S., Microlocal Analysis of ultradistributions Proc. Amer. Math. Soc., 126 (1998), 105-113.
  3. N. Djapić, S. Pilipović, D. Scarpalezos, Microlocal Analysis of Colombeau's Generalized Functions-Propagation of Singularities, J. Anal. Math., 75 (1998), 51-66.
  4. Oberguggenberger, M., Pilipović, S., Scarpalezos D., Local properties of Columbean generalized functions, Math. Nachr. 2003.
  5. Pilipović, S., Stojanović, M., Quasiasymptotics and Nonlinear Problems in a Framework of G, Analysis of Divergence Control and Managment of Divergent Processes, Birkhäuser, 545-567, (1999).
  6. Pilipović, S., Local and Microlocal Analysis in the Space of Colombeau Generalized Functions, Nonlinear Theory of Generalized Functions, ed's M. Grosser. G. Hörmann, M. Kunzinger, M. Oberguggenberger, Chapman & Hall/CRC, 187-200, 1998.
  7. Pilipović, S., Scarpalezos, D., Colombeau generalized ultradistributions, Math Proc. Camb. Phil. Soc., 130(2001), 541-553.
  8. Oberguggenberger, M., Pilipović, S., Scarpalezos D., Local properties of Columbean generalized functions, Math. Nachr., 256(2003), 88-99.
  9. Delcroix, A., Hasler, M., Pilipović, S., Valmorin, V., Generalized function algebras as sequence space algebras. Proc. Amer. Math. Soc. 132 (2004), 2031-2038.

  10. Delcroix, A., Hasler, M., Pilipović, S., Valmorin, V., Embeddings of ultradistributions and periodic hyperfunctions in Colombeau type algebras through sequence spaces. Math. Proc. Cambr. Phil. Soc., 137 (2004), 697-708.

  11. Pilipović, S., Generalized hyperfunctions and megafunctions, Tokyo Jurnal of Mathematics 28 (2005), no. 1, 1-12.

  12. Pilipović, S., Stojanović, M., Generalized asymptotics in Colombeau type algebras through sequence spaces, J. Math. Anal. Appl., 302(2005), 97-128.

  13. Pilipović, S., Scarpalezos, D., Valmorin, V., Equalities in algebras of generalized functions, Forum Math, 18(2006), 789-802.

  14. Oberguggenbrger, M., Pilipovi ć, S., Scarpalezos, Positive and positive definite generaliyed functions, J. Math Anal. Appl., 331(2007), 454-471.

12.2.9 Wavelets, Frames

  1. Pilipović, S., Takači, A., Teofanov, N., Wavelets and quasiasymptotics at a point, J. Approx. Theory, 97(1999), 40-52
  2. S. Pilipović, N. Teofanov, Wilson Bases and Ultramodulation Spaces, Math. Nachr., 242(2002), 179-196.
  3. Pilipović, S., Teofanov, N., Pseudodifferential Operators on Ultra-modulation spaces, J. Funct. Anal., 208(200 4), 194-228.

  4. E. Cordero, S. Pilipovi ć , L. Rodino. N. Teofanov, Localization operators and exponential weights for modufor modulation spaces, Mediterr. J. Math., 2 (2005), 381-394
  5. Pilipović, S., Teofanov, N., Multiresolution expansion, approximation order and quasiasymptotic of tempered distributions, J. Math. Anal. Appl. , 331(2007), 455-471.