Aleksander Strasburger
Main publications
- A connection between operator orderings and representations of the Lie algebra sl(2), (jointly
with E. Gnatowska), J. Phys. A: Math. Theor., 42 (2) (2009) 025202.
- On the Pizzetti's formula for the Heisenberg group, (jointly with M. Pawe³ko-Grzybowska), Integral Transforms and Special Functions, 19:9 (2008), 665-675. MR2454727
- On spherical expansions of zonal functions on Euclidean spheres,
(jointly with A. Bezubik and A. D±browska), Archiv der Mathematik, 90 (2008)
70-81. MR2382472 (2008k:33038)
- Surfaces immersed in su(N + 1) Lie algebras obtained from the CPN sigma models,
(jointly with A. M. Grundland and W.J. Zakrzewski), J. Phys. A: Math. Gen. 39 (2006) 9187-9213. MR2247501 (2007d:53105)
- A New Form of the Spherical Expansion of Zonal Functions and Fourier Transforms
of SO(d)-Finite Functions, (jointly with A. Bezubik), Symmetry, Integrability and Geometry: Methods and Applications Vol. 2 (2006), Paper 033, 8 pages; MR2217742 (2007h:33010)
(Original article is available at http://www.emis.de/journals/SIGMA/2006/Paper033/ )
- On the Fourier transform of SO(d)-finite measures on the unit sphere,
(jointly with A. Bezubik and A. D±browska), Archiv der Mathematik 84 (2005)
470-480; MR2139549 (2006b:33019)
- A new derivation of the plane wave expansion into spherical harmonics
and related Fourier transforms, (jointly with A. Bezubik and A. D±browska),
Journal of Nonlinear Mathematical Physics, Volume 11, Supplement, October 2004
(167-173); MR2119975 (2005k:42013)
- The Weyl Algebra, Spherical Harmonics,and Hahn Polynomials, (jointly
with E. Gnatowska), pp. 309-322 in: ``Geometry and Analysis on Finite- and
Infinite-dimensional Lie Groups'', Proceedings Workshop on Lie groups and Lie
algebras, (Bedlewo, September 4-15, 2000), (A. Strasburger, et all, eds.),
Banach Center Publications, vol.~55, 2002; MR2003h:33012
- On algebras of creation and annihilation operators, pp. 267-276
in: CRM Proceedings and Lecture Notes, vol. 22, ``Algebraic Methods and
q-special functions", L. Vinet and J.F. van Diejen, eds., Amer.
Math.Soc. 1999, MR2001g:81089
- An Integral Construction of Tensor Operators for Compact Groups,
(jointly with A. Or³owski and M. Ku¶), pp. 335-339 in "Group 22, Proceedings
of the XXII International Colloquium on Group Theoretical Methods in Physics",
S.P. Corney, R. Delbourgo and P.D. Jarvis, eds., International Press,
Cambridge, MA, 1999, MR2000c:81010
- Class Operators as Intertwining Maps into the Group Algebra, pp.
92-106 in: "Lie theory and its applications in physics", H.-D. Doebner,
V. K. Dobrev and J. Hilgert, eds., World Sci., Singapore, 1998.
- Weyl algebra and a realization of the unitary symmetry
Rendiconti del Circolo Matematico di Palermo, Serie II, Suppl. 54(1998),
pp.101-111, (Proceedings of 17 Srni Winter School on Geometry and Physics,
Srni January 11-18, 1997); MR2000a:22031
- Weighted class operators: a new approach to tensor operators for
compact groups, (jointly with A. Or³owski), J. Math. Phys., vol. 38. No. 5,
(May 1997), 2720-2727, MR98h:22002
- A generalization of the construction of the class operator, (jointly
with A. Or³owski), J. Phys. A: Math. Gen. 27 (1994),167-175. MR
95m:22005a,95m:22005b
- On a generalization of the Bochner theorem, Expo. Math. 11 (1993),
153-157; MR94b:42006
- Covariant functions and distributions and reduction of invariant
systems of differential operators on euclidean spaces, Demonstratio Math.,
vol. 25, No.3 (1992), 603-622; MR94a:22021
- Differential operators of gradient type associated with spherical
harmonics, Annal. Polon. Mathem. vol.LIII (1991), 161-183; MR93a:33024
- Reduction of invariant differential operators and expansions of conical
distributions for SO(n,1), Annal. Polon. Mathem. vol. XLIX (1989), 297-317; MR
90e:22027
- Vecteurs de Whittaker et fonctions horispheriques. (jointly with J.
Faraut), C. R. Acad. Sci. Paris, 307(I), 1988, 9-12. MR 90b:22015
- Group representations and special functions, (collaboration with A.
Wawrzyńczyk), D. Reidel and PWN, Dordrecht-Warszawa, 1984 MR 85e:33010
- On a differential equation for conical distributions. Case of SO(n,1),
in: Operator Algebras and Group Representations, ed. Gr. Arsene and al.,
vol.2, 163-181, Pitman Ltd., London, 1984 MR 85e:22016
- Contemporary theory of special functions, (collaboration with A.
Wawrzyńczyk), PWN, Warszawa, 1978 (in polish). MR 81c:33011
- On a group theoretic treatment of the number operator of particles
(jointly with I. Szczyrba), in: Group Theoretical Methods in Physics, R. T.
Sharp and E. Kolman, ed., Acad. Press, New York 1977 MR 56 #17620
- Inducing spherical representations of semi-simple Lie groups, Dissert.
Mathem. CXXII (1975) MR 53 #8332
- Automorphis forms for conical representations (jointly with A.
Wawrzyńczyk), Bull. Acad. Polon. Sci., Ser. Sci. math., astronom., phys. XX
(1972), 921-927 MR47 #3915
- Reciprocity theorems in the theory of representations of groups
(jointly with A. Wawrzyńczyk), Studia Mathem. XLII (1972), 1-14 MR46 #3696
- Reciprocity theorems in the theory of representations of groups
(jointly with A. Wawrzyńczyk), Bull. Acad. Polon. Sci., Ser. Sci. math.,
astronom., phys. XIX (1971), 101-105 MR 44 #2851