Seminar on Harmonic Analysis at IMAR


 

Participants:

  Gruia Arsu, Daniel Beltita, Ingrid Beltita, Gheorghe Nenciu, Mihai Pascu, Bebe Prunaru, Radu Purice
 

Activity:

 harmonic analysis on Euclidean spaces, on Lie groups, and even on more general topological groups

 

Founding event:

  The Seminar on Harmonic Analysis held in 21-22 September 2012, at IMAR in Bucharest, with support from the reseach project Operator Calculus for Lie Group Representations, with Applications to PDE and Quantum Physics (PN-II-ID-PCE-2011-3-0131) and from the SOFTWIN Group

ARCHIVE


2013-2014


 

Special sessions

 - 1. Gary Weiss (Univ. of Cincinnati): An operator theorist`s journey, pre INCREST 1978 and post OT24. 2. Sasmita Patnaik (Indian Institute of Technology, Kanpur): Subideals of operators, on Wednesday, the 24th of June, 2014
 - Marius Mantoiu (Universidad de Chile, Santiago): Fréchet-Hilbert algebras associated with families of bounded operators on Wednesday, the 11th of September, 2013
 

Regular presentations in the academic year 2013-2014:


 ● Mihai Pascu (7 Apr. - 28 May 2014): Introduction to analysis on homogeneous groups (1)-(5), after:
     [1]  G.B. Folland, E.M. Stein, "Hardy spaces on homogeneous groups". Mathematical Notes, 28. Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1982.
 ● Daniel Beltita (19 Feb. - 17 March 2014): Global coordinates on coadjoint orbits (1)-(5), after:
     [1]  J.-M. Maillard, "Explicit star products on orbits of nilpotent Lie groups with square integrable representations". J. Math. Phys. 48 (2007), no. 7, 073504, 15 pp.
     [2]  D. Arnal, J.-C. Cortet, P. Molin, G. Pinczon, "Covariance and geometrical invariance in ∗-quantization". J. Math. Phys. 24 (1983), no. 2, 276--283.
 ● Ingrid Beltita (16 - 30 Oct., 27 Nov. - 11 Dec. 2013; 15 - 22 Jan. 2014): Spectral multipliers on the Heisenberg groups (1)-(8), after:
     [1]  D. Müller, E.M. Stein, "On spectral multipliers for Heisenberg and related groups". J. Math. Pures Appl. (9) 73 (1994), no. 4, 413--440.
 ● Mihai Pascu (9 Oct. 2013): Pseudo-differential operators on nilpotent Lie groups (9), after:
     [1]  M. Pascu, "Melin calculus on homogeneous Lie groups". IMAR Preprint Series no. 2/2013.
     [2]  P. Głowacki, "The Melin calculus for general homogeneous groups". Ark. Mat. 45 (2007), no. 1, 31--48. (A corrected version can be found here.)

2012-2013


 

Special session

 Jean Ludwig (Université de Lorraine, Metz): The C*-algebra of the Heisenberg group on Wednesday, the 12th of June, 2013
 

Regular presentations in the academic year 2012-2013:


 ● Mihai Pascu (Nov. 2012 - Feb. 2013): Pseudo-differential operators on nilpotent Lie groups, after:
     [1]  G.B. Folland, E.M. Stein, "Hardy spaces on homogeneous groups". Mathematical Notes, 28. Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1982.
     [2]  P. Głowacki, "A symbolic calculus and L2-boundedness on nilpotent Lie groups". J. Funct. Anal. 206 (2004), no. 1, 233--251.
     [3]  P. Głowacki, "The Melin calculus for general homogeneous groups". Ark. Mat. 45 (2007), no. 1, 31--48. (A corrected version can be found here.)
 ● José Garcia (26 Nov. 2012): Spectral analysis and non propagation properties - in connection with Rieffel algebras
 ● Ingrid Beltita (March - April 2013): Ideals in function algebras, after:
     [1]  Y. Domar, "On the spectral synthesis problem for (n-1)-dimensional subsets of Rn, n≥2". Ark. Mat. 9 (1971), 23--37.
     [2]  D. Müller, "On the spectral synthesis problem for hypersurfaces of RN". J. Funct. Anal. 47 (1982), no. 2, 247--280.
     [3]  H. Reiter and J.D. Stegeman, "Classical harmonic analysis and locally compact groups". Second edition. London Mathematical Society Monographs. New Series, 22. The Clarendon Press, Oxford University Press, New York, 2000.
 ● Daniel Beltita (April 2013): Metaplectic representations, after:
     [1]  G. Lion, "Intégrales d'entrelacement sur des groupes de Lie nilpotents et indices de Maslov". In: J. Carmona and M. Vregne (eds.), "Non-commutative harmonic analysis" (Actes du Colloque d'Analyse Harmonique Non-Commutative, tenu à Marseille-Luminy, 5 au 9 Juillet, 1976). Lecture Notes in Math., Vol. 587, Springer, Berlin, 1977, pp. 160--176.
     [2]  G. Lion, M. Vergne, "The Weil representation, Maslov index and theta series". Progress in Mathematics, 6. Birkhäuser, Boston, Mass., 1980.

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