Impulsive Stabilization of Linear Delay Differential EquationsThe paper is concerned with stabilization of a scalar delay differention equation x(t) - Σk=1m Ak(t)x[hk(t)] = 0,~t≥ 0,~ x(ξ)=φ(ξ), ξ<0, by introducing impulses in certain…L. Berezansky, E. Braverman·Feb 21, 1995SaveLearn
On the discrete spectrum of non-analytic matrix-valued Friedrichs modelWe have found the sufficient conditions for the spectrum of matrix-valued Friedrichs model to be finite.I. A. Ikramov, F. Sharipov·Feb 15, 1995SaveLearn
Uniqueness theorem for unbounded domainWe prove in this paper the uniqueness theorem for a certain class of harmonic functions defined in unbounded domain lying in a band.Z. R. Ashurova, Y. I. Zhuraev·Feb 15, 1995SaveLearn
Oscillation of a Linear Delay Impulsive Differential EquationThe main result of the paper is that the oscillation (non-oscillation) of the impulsive delay differential equation x(t)+Σk=1m Ak(t)x[hk(t)]=0,~~t≥ 0, $x(τj)=Bjx(τj-0), …L. Berezansky, E. Braverman·Feb 7, 1995SaveLearn
On the Γ-equivariant form of the Berezin's quantization of the upper half planeLet Γ be a fuchsian subgroup of . In this paper we consider the Γ-equivariant form of the Berezin's quantization of the upper half plane which will correspond to a deformation…Florin Radulescu·Feb 7, 1995SaveLearn
Diagonalization of compact operators in Hilbert modules over C*-algebras of real rank zeroIt is known that the classical Hilbert--Schmidt theorem can be generalized to the case of compact operators in Hilbert A-modules HA* over a W*-algebra of finite type, i.e. compact operators…V. M. Manuilov·Jan 31, 1995SaveLearn
Toward a general theory of transmutationA general construction of transmutation operators is developed for selfadjoint operators in Gelfand triples. Theorems regarding analyticity of generalized eigenfunctions and Paley-Wiener properties…A. Boumenir, R. Carroll·Jan 25, 1995SaveLearn
Lefschetz Numbers and Geometry of Operators in W*-modulesThe main goal of the present paper is to generalize the results of~TroLNM,TroBoch in the following way: To be able to define K0(A)-valued Lefschetz numbers of the first type of an…Michael Frank, Evgenij V. Troitsky·Jan 24, 1995SaveLearn
Capacity theory for monotone operatorsIf Au=-div(a(x,Du)) is a monotone operator defined on the Sobolev space W1,p(Rn), 1<p<+∞, with a(x,0)=0 for a.e. x∈ Rn, the capacity CA(E,F) relative to A can be defined…G. Dal Maso, I. V. Skrypnik·Jan 19, 1995SaveLearn
Lusin's C-property is not valid for functional Hilbert modulesWe show that elements of Hilbert A-module obtained by completion of the space of square-integrable functions on a space with measure X taking values in a C*-algebra A cannot be viewed as…V. M. Manuilov·Jan 18, 1995SaveLearn
Estimates of Lebesgue constants via Fourier transforms. Many dimensionsThis is an attempt of a comprehensive survey of the results in which estimates of the norms of linear means of multiple Fourier series, the Lebesgue constants, are obtained by means of estimating the…Elijah Liflyand·Jan 16, 1995SaveLearn
Connection between Different Function Theories in Clifford AnalysisWe describe an explicit connection between solutions to equations Df=0 (the Generalized Cauchy-Riemann equation) and (D+M)f=0, where operators D and M commute. The described connection allows…Vladimir V. Kisil·Jan 3, 1995SaveLearn
Lie-algebraic discretization of differential equationsA certain representation for the Heisenberg algebra in finite-difference operators is established. The Lie-algebraic procedure of discretization of differential equations with isospectral property is…Yuri Smirnov, Alexander Turbiner·Jan 2, 1995SaveLearn
Diagonalization of compact operators in Hilbert modules over finite W*-algebrasIt is known that a continuous family of compact operators can be diagonalized pointwise. One can consider this fact as a possibility of diagonalization of the compact operators in Hilbert modules…V. M. Manuilov·Dec 16, 1994SaveLearn
On dense subspaces in a class of Fréchet function spaces on RnWhen dealing with concrete problems in a function space on Rn, it is sometimes helpful to have a dense subspace consisting of functions of a particular type, adapted to the problem under…M. F. E. de Jeu·Dec 13, 1994SaveLearn
An Equivariant Brauer Group and Actions of Groups on C*-algebrasSuppose that (G,T) is a second countable locally compact transformation group given by a homomorphism :G(T), and that A is a separable continuous-trace -algebra with spectrum…David Crocker, Alex Kumjian, Iain Raeburn et al.·Dec 12, 1994SaveLearn
Berezin's quantization on flag manifolds and spherical modulesIt is shown that the theory of spherical Harish-Chandra modules naturally provides the algebras of covariant, contravariant and mixed symbols on generalized flag manifolds. The general proof of the…A. V. Karabegov·Dec 1, 1994SaveLearn
Diagonalizing ''compact'' operators on Hilbert W*-modulesFor W*-algebras A and self-dual Hilbert A-modules M we show that every self-adjoint, ''compact'' module operator on M is diagonalizable. Some specific properties of the eigenvalues and of the…Michael Frank, Vladimir M. Manuilov·Nov 24, 1994SaveLearn
Characteristics of pairs of operators, Lie hybrids, Poisson brackets and nonlinear geometric algebraSome algebraic, geometric and geometroalgebraic characteristics of pairs of operators are discussed.Denis Juriev·Nov 22, 1994SaveLearn
Path spaces, continuous tensor products, and E0 semigroupsWe classify all continuous tensor product systems of Hilbert spaces which are ``infinitely divisible" in the sense that they have an associated logarithmic structure. These results are applied to…William Arveson·Nov 20, 1994SaveLearn
Determinants of elliptic boundary problems for Dirac operators I. Local boundary conditionsWe study functional determinants for Dirac operators on manifolds with boundary and discuss the ellipticity of boundary problems by using the Calderón projector. We give, for local boundary…H. Falomir, R. E. Gamboa Saraví, M. A. Muschietti et al.·Nov 4, 1994SaveLearn
Existence results for non-coercive variational problemsThe aim of this paper is to give an existence result for a class of one-dimensional, non-convex, non-coercive problems in the Calculus of Variations. The main tools for the proof are an existence…Graziano Crasta, Annalisa Malusa·Nov 3, 1994SaveLearn
Time-Optimal Control Problem for the Swing and the SkiThis paper is concerned with a class of time-optimal control problems for the swing and the ski. We first consider the motion of a man standing on a swing. For simplicity, we neglect friction and air…Benedetto Piccoli·Nov 3, 1994SaveLearn
An existence result for non-coercive non-convex problemsWe consider a class of one--dimensional non--convex non--coercive problems in the Calculus of Variations. We prove an existence result for this class of problems using a Liapunov type theorem on the…Graziano Crasta·Nov 3, 1994SaveLearn
An Adiabatic Theorem for Singularly Perturbed HamiltoniansThe adiabatic approximation in quantum mechanics is considered in the case where the self-adjoint hamiltonian H0(t), satisfying the usual spectral gap assumption in this context, is perturbed by a…Alain Joye·Nov 2, 1994SaveLearn