Hankel forms and the Fock space.
Svante Janson, Jaak Peetre, Richard Rochberg (1987)
Revista Matemática Iberoamericana
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Displaying similar documents to “Paracommutators. Brief introduction, open problems.”
Hankel forms and the Fock space.
Generalizations of Hankel operators
Peetre, Jaak
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Fourier analysis of a space of Hilbert-Shmidt operators. New type operators.
Jaak Peetre (1990)
Publicacions Matemàtiques
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If a group acts via unitary operators on a Hilbert space of functions then this group action extends in an obvious way to the space of Hilbert-Schmidt operators over the given Hilbert space. Even if the action on functions is irreducible, the action on H.-S. operators need not be irreducible. It is often of considerable interest to find out what the irreducible constituents are. Such an attitude has recently been advocated in the theory of "Ha-pliz" (Hankel + Toeplitz) operators. In...
The Rockland condition for nondifferential convolution operators II
Paweł Głowacki (1991)
Studia Mathematica
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A new look on Hankel forms over Fock space
Svante Janson, Jaak Peetre, Robert Wallstén (1989)
Studia Mathematica
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A multiplier theorem for H-type groups
Rita Pini (1991)
Studia Mathematica
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We prove an -boundedness result for a convolution operator with rough kernel supported on a hyperplane of a group of Heisenberg type.
On the construction of fundamental solutions for differential operators on nilpotent groups
Anders Melin (1981)
Journées équations aux dérivées partielles
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On operators satisfying the Rockland condition
Waldemar Hebisch (1998)
Studia Mathematica
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Let G be a homogeneous Lie group. We prove that for every closed, homogeneous subset Γ of G* which is invariant under the coadjoint action, there exists a regular kernel P such that P goes to 0 in any representation from Γ and P satisfies the Rockland condition outside Γ. We prove a subelliptic estimate as an application.