Hilbert Modules And Their Representation.
Hilbert space representations of the graded analogue of the Lie algebra of the group of plane motions
The irreducible Hilbert space representations of a ⁎-algebra, the graded analogue of the Lie algebra of the group of plane motions, are classified up to unitary equivalence.
Hilbert space valued generalized random processes. I.
Hilbert space valued generalized random processes. II.
Hilbert spaces for massless particles with nonvanishing helicities
Hilbert Spaces have the Strong Banach-Stone Property for Bochner Spaces.
Hilbert spaces of analytic functions of infinitely many variables
We study spaces of analytic functions generated by homogeneous polynomials from the dual space to the symmetric Hilbertian tensor product of a Hilbert space. In particular, we introduce an analogue of the classical Hardy space H² on the Hilbert unit ball and investigate spectral decomposition of unitary operators on this space. Also we prove a Wiener-type theorem for an algebra of analytic functions on the Hilbert unit ball.
Hilbert Spaces of Distributions Having an Orthogonal Basis of Exponentials.
Hilbert transform and singular integrals on the spaces of tempered ultradistributions
The Hilbert transform on the spaces of tempered ultradistributions is defined, uniquely in the sense of hyperfunctions, as the composition of the classical Hilbert transform with the operators of multiplying and dividing a function by a certain elliptic ultrapolynomial. We show that the Hilbert transform of tempered ultradistributions defined in this way preserves important properties of the classical Hilbert transform. We also give definitions and prove properties of singular integral operators...
Hilbert transformation of Beurling ultradistributions
Hilbertian, Besselian, and semi-shrinking bases
Hilberträume mit amorphen basen
Hilbert-Schmidt operators vs. integrable systems of elliptic Calogero-Moser type III: The Heun case.
Hilbert-space-valued measures on Boolean algebras (extensions).
Hilbert-space-valued states on quantum logics
Hilbert-valued forms and barriers on weakly pseudoconvex domains.
We introduce an alternative proof of the existence of certain Ck barrier maps, with polynomial explosion of the derivatives, on weakly pseudoconvex domains in Cn. Barriers of this sort have been constructed very recently by J. Michel and M.-C. Shaw, and have various applications. In our paper, the adaptation of Hörmander's L2 techniques to suitable vector-valued functions allows us to give a very simple approach of the problem and to improve some aspects of the result of Michel and Shaw, regarding...
Hille-Yosida theory in convenient analysis.
A Hille-Yosida Theorem is proved on convenient vector spaces, a class, which contains all sequentially complete locally convex spaces. The approach is governed by convenient analysis and the credo that many reasonable questions concerning strongly continuous semigroups can be proved on the subspace of smooth vectors. Examples from literature are reconsidered by these simpler methods and some applications to the theory of infinite dimensional heat equations are given.
Hinfty + LE in several variables.
Histoire d'un théorème de Bessaga et Pełczynski
History, generalizations and unified treatment of two Ostrowski's inequalities.