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Functional Analysis papers — page 8

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Some directional microlocal classes defined using wavelet transforms
In this short paper we discuss how the position - scale half-space of wavelet analysis may be cut into different regions. We discuss conditions under which they are independent in the sense that the…
Matthias HolschneiderOct 19, 1995
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Invariant measures for unitary forms of Kac-Moody groups, Parts I-III
The purpose of this paper is to describe some conjectures and results on the existence and uniqueness of invariant measures on formal completions of Kac-Moody groups and associated homogeneous…
Doug PickrellOct 9, 1995
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On Dirac's Delta Calculus
It is shown that theories already presented as rigorous mathematical formalizations of widespread manipulations of Dirac's delta function are all unsatisfactory, and a new alternative is proposed.
Sergio Ferreira CortizoOct 4, 1995
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Virtual Calculus - Part II
A simultaneous extension of real numbers set and the class of real functions is discussed.
Sergio Ferreira CortizoOct 4, 1995
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Virtual Calculus - Part I
An alternative organization for Differential and Integral Calculus, based on an extension of real numbers that include infinitesimal and infinite quantities, is presented. Only Elementary Set Theory…
Sergio Ferreira CortizoOct 4, 1995
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Virtual Extensions
A process of extending sets which can be used as foundation for an alternative organization for Differential and Integral Calculus is presented.
Sergio Ferreira CortizoOct 4, 1995
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Representations for the Three-Body T-Matrix, Scattering Matrices and Resolvent in Unphysical Energy Sheets
Explicit representations for the Faddeev components of the three-body T-matrix continued analytically into unphysical sheets of the energy Riemann surface are formulated. According to the…
A. K. MotovilovSep 22, 1995
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A duality between Schroedinger operators on graphs and certain Jacobi matrices
The known correspondence between the Kronig-Penney model and certain Jacobi matrices is extended to a wide class of Schroedinger operators on graphs. Examples include rectangular lattices with and…
Pavel ExnerSep 1, 1995
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Contact interactions on graph superlattices
We consider a quantum mechanical particle living on a graph and discuss the behaviour of its wavefunction at graph vertices. In addition to the standard (or delta type) boundary conditions with…
Pavel ExnerSep 1, 1995
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The General Analytic Solution of a Functional Equation of Addition Type
The general analytic solution to the functional equation ϕ1(x+y)= |ϕ2(x)&ϕ2(y)ϕ3(x)&ϕ3(y)| |ϕ4(x)&ϕ4(y)ϕ5(x)&ϕ5(y)| …
H. W. Braden, V. M. BuchstaberAug 28, 1995
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The classical limit of dynamics for spaces quantized by an action of Rd
We have previously shown how to construct a deformation quantization of any locally compact space on which a vector group acts. Within this framework we show here that, for a natural class of…
Marc A. RieffelAug 1, 1995
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Dynamical inverse problem of representation theory and noncommutative geometry
Dynamical inverse problem of representation theory, which has its origin in a classical paper of E.P.Wigner on a determination of commutation relations of quantum mechanical quantities by the quantum…
Denis V. JurievJul 10, 1995
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A Classification Theorem for Nuclear Purely Infinite Simple C*-Algebras
Starting from Kirchberg's theorems announced in 1994, namely O2 tensor A is isomorphic to O2 for separable unital nuclear simple A and Oinfinity tensor A is isomorphic to A if in addition A is…
N. Christopher PhillipsJul 1, 1995
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A space of multipliers on L
Conditions for a function (number sequence) to be a multiplier on the space of integrable functions on R ( T) are given. This generalizes recent results of Giang and Moricz.
Elijah LiflyandJun 30, 1995
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Approximate Unitary Equivalence of Homomorphisms from Oinfinity
We prove that if two nonzero homomorphisms from the Cuntz algebra Oinfinity to a purely infinite simple C*-algebra have the same class in KK-theory, and if either both are unital or both are…
Huaxin Lin, N. Christopher PhillipsJun 28, 1995
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C*-Algebras with the Approximate Positive Factorization Property
We say that a unital C*-algrebra A has the approximate positive factorization property (APFP) if every element of A is a norm limit of products of positive elements of A. (There is also a definition…
Gerard J. Murphy, N. Christopher PhillipsJun 28, 1995
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A Note on the Wodzicki Residue
In this note we explain the relationship of the Wodzicki residue of (certain powers of) an elliptic differential operator P\ acting on sections of a complex vector bundle E\ over a closed compact…
Thomas AckermannJun 23, 1995
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Continuous Fell Bundles Associated to Measurable Twisted Actions
Given a measurable twisted action of a second-countable, locally compact group G on a separable C*-algebra A, we prove the existence of a topology on AxG making it a continuous bundle, whose cross…
Ruy Exel, Marcelo LacaJun 21, 1995
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A remark on trace properties of K-cycles
In this paper we discuss trace properties of d+-summable K-cycles considered by A.Connes in [(Conn4)]. More precisely we give a proof of a trace theorem on the algebra of a K--cycle…
Fabio Cipriani, Daniele Guido, Sergio ScarlattiJun 14, 1995
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On the C*-envelope of approximately finite-dimensional operator algebras
The C*-envelope of the limit algebra (or limit space) of a contractive regular system of digraph algebras (or digraph spaces) is shown to be an approximately finite C*-algebra and the direct system…
C. Laurie, S. C. PowerJun 2, 1995
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Endomorphism Semigroups and Lightlike Translations
Borchers and Wiesbrock have demonstrated certain results concerning the one-parameter semigroups of endomorphisms of von Neumann algebras that appear as lightlike translations in the theory of…
D. R. DavidsonMay 30, 1995
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Isomorphisms of Hilbert C*-Modules and *-Isomorphisms of Related Operator C*-Algebras
Let M be a Banach C*-module over a C*-algebra A carrying two A-valued inner products < .,. >1, <.,. >2 which induce equivalent to the given one norms on M. Then the…
Michael FrankMay 9, 1995
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Unconditional Integrability for Dual Actions
The dual action of a locally compact abelian group, in the context of C*-algebraic bundles, is shown to satisfy an integrability property, similar to Rieffel's proper actions. The tools developed…
Ruy ExelApr 18, 1995
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Some Conditions for Existence and Integrability of the Fourier Transform
The Fourier transform is naturally defined for integrable functrions. Otherwise, it should be stipulated in which sense the Fourier transform is understood. We consider some class of radial and,…
Elijah LiflyandMar 22, 1995
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The Riesz-Clifford Functional Calculus for Non-Commuting Operators and Quantum Field Theory
We present a Riesz-like hyperholomorphic functional calculus for a set of non-commuting operators based on the Clifford analysis. Applications to the quantum field theory are described. Keywords:…
Vladimir V. Kisil, Enrique Ramírez de ArellanoFeb 25, 1995
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