# e-book Operator Algebras, Operator Theory and Applications (Operator Theory: Advances and Applications)

Studia Mathematica , no. Cahen, Contractions of Lie algebras with 2-dimensional generic coadjoint orbits. Gale, Linear connections for reproducing kernels on vector bundles.

### Top Authors

Gaspar, D. Timotin, F. Vasilescu, and L. Beltita, On the differentiable vectors for contragredient representations.

Pascu, Boundedness for pseudo-differential calculus on nilpotent Lie groups. Twareque Ali, A.

Odesski, A. Schlichenmaier, Th. Beltita, Algebras of symbols associated with the Weyl calculus for Lie group representations. Mathematische Nachrichten , no. Beltita, On differentiability of vectors in Lie group representations. Journal of Lie Theory 21 , no.

### The Carl M. Pearcy Anniversary Volume

Beltita, Modulation spaces of symbols for representations of nilpotent Lie groups. Journal of Fourier Analysis and Applications 17 , no. Beltita, Continuity of magnetic Weyl calculus. Gale, Universal objects in categories of reproducing kernels. Beltita, Functional analytic background for a theory of infinite-dimensional reductive Lie groups. Neeb, A. Pianzola eds. Beltita, On Weyl calculus in infinitely many variables.

Kielanowski, V. Buchstaber, A. Beltita, Smooth vectors and Weyl-Pedersen calculus for representations of nilpotent Lie groups. Beltita, Lie theoretic significance of the measure topologies associated with a finite trace. Forum Mathematicum 22 , no. Neeb, Geometric characterization of hermitian algebras with continuous inversion. Bulletin of the Australian Mathematical Society 81 , no. Beltita, Uncertainty principles for magnetic structures on certain coadjoint orbits.

Journal of Geometry and Physics 60 , no. Beltita, A survey on Weyl calculus for representations of nilpotent Lie groups. Ali, A.

- Recent Advances in Operator Theory and Operator Algebras.
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- List of publications?

Gale, On complex infinite-dimensional Grassmann manifolds. Complex Analysis and Operator Theory 3 , no. Beltita, Iwasawa decompositions of some infinite-dimensional Lie groups. Transactions of the American Mathematical Society , no. Beltita, Magnetic pseudo-differential Weyl calculus on nilpotent Lie groups. Annals of Global Analysis and Geometry 36 , no. Neeb, A nonsmooth continuous unitary representation of a Banach-Lie group. Journal of Lie Theory 18 , no. Neeb, Finite-dimensional Lie subalgebras of algebras with continuous inversion. Ratiu, A. Prunaru, Amenability, completely bounded projections, dynamical systems and smooth orbits.

Integral Equations and Operator Theory 57 , no. Ratiu, Geometric representation theory for unitary groups of operator algebras. Advances in Mathematics , no. Beltita, Integrability of analytic almost complex structures on Banach manifolds. Annals of Global Analysis and Geometry 28 , no. Ratiu, Symplectic leaves in real Banach Lie-Poisson spaces.

Geometric and Functional Analysis 15 , no. Beltita, On Banach-Lie algebras, spectral decompositions and complex polarizations. Gaspar, I.

## Alain Connes -- Bibliography

Gohberg, D. Vasilescu, L. Zsido eds. Theory Adv. Sabac, Polynomial sequences of bounded operators. Beltita, Asymptotic products and enlargibility of Banach-Lie algebras. Journal of Lie Theory 14 , no.

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Beltita, Complex homogeneous spaces of pseudo-restricted groups. In many cases, impor- tant for physics and mechanics, as well as for geometry and analysis, this rather elementary approach allows one to obtain sharp results. Author: E. The fates of important mathematical ideas are varied. Sometimes they are instantly appreciated by the specialists and constitute the foundation of the development of theories or methods. It also happens, however, that even ideas uttered by distinguished mathematicians are surrounded with respectful indifference for a long time, and every effort of inter- preters and successors has to be made in order to gain for them the merit deserved.

It is the second case that is encountered in the present book, the author of which, the Leningrad mathematician E. Polishchuk, reconstructs and develops one of the dir. Paul Levy, Member of the French Academy of Sciences, whose centenary of his birthday was celebrated in , was one of the most original mathe- matiCians of the second half of the 20th century. He could not complain about a lack of attention to his ideas and results. Together with A.

## Operator theory, advances and applications; vol. 19 on Operator theory and systems

Kolmogorov, A. Khinchin and William Feller, he is indeed one of the acknowledged founders of the theory of random processes. In the proba- bility theory and, to a lesser degree, in functional analysis his work is well-known for its conceptualization and scope of the problems posed. Dym, P. Lancaster, S.

## Homepage Gary Weiss

Goldberg, M. I should like to begin by spending a few minutes talking shop. One of the great tragedies of being a mathematician is that your papers are read so seldom. On the average ten people will read the introduction to a paper and perhaps two of these will actually study the paper. It's difficult to know how to deal with this problem. One strategy which will at least get you one more reader, is to collaborate with someone. I think Israel early on caught on to this, and I imagine that by this time most of the analysts in the world have collaborated with him. He continues relentlessly in this pursuit; he visits his neighbour Harry Dym at the Weizmann Institute regularly, he spends several months a year in Amsterdam working with Rien Kaashoek, several weeks in Maryland with Seymour Goldberg, a couple of weeks here in Calgary with Peter Lancaster, and on the rare occasions when he is in Tel Aviv, he takes care of his many students.

Discrete-time systems arise as a matter of course in modelling biological or economic processes. For systems and control theory they are of major importance, particularly in connection with digital control applications. If sampling is performed in order to control periodic processes, almost periodic systems are obtained. This is a strong motivation to investigate the discrete-time systems with time-varying coefficients.