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Titlebook: Quantization and Infinite-Dimensional Systems; J-P. Antoine,S. Twareque Ali,A. Odzijewicz Book 1994 Plenum Press, New York 1994 Potential.

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Symplectic Realizations of the Galilei-Carroll GroupWe generalize the Galilei-Carroll group .,. we classify all his .-elementary systems under the coadjoint action of . on the dual .* of the Lie algebra ., the central extension of the Lie algebra of ..
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On Reproducing Kernels for Holomorphic Vector BundlesWe introduce (1) the reproducing kernels of Bergman type for holomorphic sections of complex hermitian vector bundles, and (2) the maps defined by these kernels on total and base spaces of considered bundles into some Hilbert and Grassmann spaces. We present (without proofs) the main results concerning basic properties of the introduced objects.
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Infinite-Dimensional Supermanifolds of Solutions in Lagrangian Field Theories with Fermion Fieldsm field theoretic models, an infinite-dimensional supermanifold (smf) of classical solutions in Minkowski space can be constructed. More precisely, we show that the smf of smooth Cauchy data with compact support is isomorphic with an smf of corresponding classical solutions of the model.
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Covariant and Contravariant Berezin Symbols of Bounded Operators Hilbert-Schmidt operator. It is also proved that the operators .. : ..(.) →..(.) and 〈.〉 : ..(.) → ..(.) for 1 ≤ . ≤ ∞, are continuous and linear and that the .*-algebra of all bounded operators is obtained as the weak closure of ..(..(.)).
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Plenum Press, New York 1994
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