zbMath0467.47001MaRDI QIDQ3920175
Israel Markovich Glazman, N. Achyeser
Publication date: 1981
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05)
Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10)
Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15)
Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06)
Linear symmetric and selfadjoint operators (unbounded) (47B25)
General theory of ordinary differential operators (47E05)
Research exposition (monographs, survey articles) pertaining to operator theory (47-02)
Integral, integro-differential, and pseudodifferential operators (47Gxx)
Some observations and remarks on differential operators generated by first-order boundary value problems.,
Momentum and Hamiltonian operators in generalized coordinates,
Simple stable homogeneous expansions of Hilbert spaces,
A possible definition of a stationary tangent.,
A survey of functional principal component analysis,
Estimates on the amplitude of the first Dirichlet eigenvector in discrete frameworks,
A system coupling and Donoghue classes of Herglotz-Nevanlinna functions,
Continuous integral kernels for unbounded Schrödinger semigroups and their spectral projections,
Effective computation of traces, determinants, and \(\zeta\)-functions for Sturm-Liouville operators,
Decoupling of deficiency indices and applications to Schrödinger-type operators with possibly strongly singular potentials,
\(C^{*}\)-subalgebras generated by a single operator in \(B(H)\),
The scaling limit for a stochastic PDE and the separation of phases,
Fault tolerant quantum filtering and fault detection for quantum systems,
Spectral theory for perturbed Krein Laplacians in nonsmooth domains,
A remark on the Cowen Douglas classes \(B_ n(\Omega)\),
Compact Jacobi matrices: From Stieltjes to Krein and \(M(a,b)\),
Numerical solution of boundary value problems for selfadjoint differential equations of \(2n\)th order.,
Two-term differential equations with matrix distributional coefficients,
Weak convergence of orthogonal polynomials,
A new aspect for choosing collocation points for solving biharmonic equations,
Non-self-adjoint Jacobi matrices with a rank-one imaginary part,
Spectral properties of a class of reflectionless Schrödinger operators,
Scattering problems on noncompact graphs,
Nonself-adjoint Friedrichs model in hydrodynamic stability,
\(M\) operators: A generalisation of Weyl--Titchmarsh theory,
A personal history of the \(m\)-coefficient,
On a certain class of commuting systems of linear operators,
Bounds and positivity conditions for operator valued functions in a Hilbert lattice,
On the spectra of left-definite operators,
Commutative properties of singularly perturbed operators,
Hilbert spaces with generic groups of automorphisms,
Generalized gradients: priors on minimization flows,
Time as a quantum observable, canonically conjugated to energy, and foundations of self-consistent time analysis of quantum processes,
The eigenvalue problem for infinite complex symmetric tridiagonal matrices with application,
Perturbations of embedded eigenvalues for the planar bilaplacian,
Stationary and dynamical scattering problems and ergodic-type theorems,
Weighted exponential approximation and non-classical orthogonal spectral measures,
Little Hankel operators on the Bergman space,
On the kernel of the Laplace operator on two-dimensional polyhedra,
A Schauder and Riesz basis criterion for non-self-adjoint Schrödinger operators with periodic and antiperiodic boundary conditions,
The Krein formula in almost Pontryagin spaces. A proof via orthogonal coupling,
Generalized Aizerman-Myshkis problem for abstract differential-delay equations.,
Eigenvalues in spectral gaps of differential operators,
Spectral properties of the generalized Friedrichs model,
Local linear regression for functional data,
On a class of composition operators on Bergman space,
The Friedrichs extension of singular differential operators,
Jacobi operators and orthonormal matrix-valued polynomials. I,
Jacobi operators and orthonormal matrix-valued polynomials. II,
Dequantization techniques for Weyl quantization,
Models of function type for commutative symmetric operator families in Krein spaces,
From classical to quantum models: the regularising Rôle of integrals, symmetry and probabilities,
Computing zeros and orders of Bessel functions,
On the Lax-Phillips scattering matrix of the abstract wave equation,
Relativistic internal time operator,
Constructing quantum observables and self-adjoint extensions of symmetric operators. II. differential operators,
Constructing quantum observables and self-adjoint extensions of symmetric operators. I,
The generalized scattering problems: ergodic type theorems,
The property of being self-adjoint for higher-order elliptic operators and energetic estimates throughout \(\mathbb{R}^ n\),
Norm-resolvent convergence of one-dimensional high-contrast periodic problems to a Kronig-Penney dipole-type model,
\(C^{*}\)-algebras generated by partial isometries,
Berezin transform of the absolute value of an operator,
A new method for dissipative dynamic operator with transmission conditions,
On extending backwards positive definite sequences,
Almost periodically unitary stochastic processes,
Essential closures and AC spectra for reflectionless CMV, Jacobi, and Schrödinger operators revisited,
Glazman-Krein-Naimark theory, left-definite theory and the square of the Legendre polynomials differential operator,
Spectral analysis of singular ordinary differential operators with indefinite weights,
On the stiffness of materials containing a disordered array of microscopic holes or hard inclusions,
A description of all self-adjoint extensions of the Laplacian and Kreĭn-type resolvent formulas on non-smooth domains,
Quantum tunneling and caustics under inverse square potential,
Compressed resolvents, Schur functions, Nevanlinna families and their transformations,
Three term recurrence relation modulo ideal and orthogonality of polynomials of several variables,
Convergence for a family of discrete advection-reaction operators,
Generalized value distribution for Herglotz functions and spectral theory,
Spectral theory of Herglotz functions and their compositions,
On the characteristics of a class of Gaussian processes within the white noise space setting,
Defect index of the square of a formally self-adjoint second-order difference expression,
Spacetime path formalism for massive particles of any spin,
Supersymmetric quantum mechanics with a point singularity,
On two-sided interpolation for upper triangular Hilbert-Schmidt operators,
Schrödinger-type operator over \(p\)-adic number field,
Sensors and controllers location in distributed systems - A survey,
The complex moment problem and subnormality: A polar decomposition approach,
Triplet extensions. I: Semibounded operators in the scale of Hilbert spaces,
Mathematical quantum theory. I: Random ultrafilters as hidden variables,
Self-adjointness of the two-dimensional massless Dirac Hamiltonian and vacuum polarization effects in the background of a singular magnetic vortex.,
Realizations for Schur upper triangular operators centered at an arbitrary point,
On non self-adjoint representations of Lie algebras,
Nonstationary analogs of the Herglotz representation theorem: The discrete case,
Foundations of phase-space quantum mechanics,
Absolute continuity for unbounded Jacobi matrices with constant row sums,
Kramer analytic kernels and first-order boundary value problems,
The spectrum of differential operators with almost constant coefficients. II,
Relativistic point interaction,
Spectral asymptotics for Schrödinger operators with periodic point interactions,
The eigenvalue problem for infinite compact complex symmetric matrices with application to the numerical computation of complex zeros of \(J_ 0(z)- iJ_ 1(z)\) and of Bessel functions \(J_ m(z)\) of any real order \(m\),
Lifting strong commutants of unbounded subnormal operators,
Completion, extension, factorization, and lifting of operators,
Some connections between excursion theory and the discrete Schrödinger equation with random potentials,
The Krein-von Neumann extension of a regular even order quasi-differential operator,
Boundary stabilization for a star-shaped network of variable coefficients strings linked by a point mass,
Foundations of a spacetime path formalism for relativistic quantum mechanics,
On approximations of rank one ℋ₋₂-perturbations,
Weyl--Titchmarsh theory for CMV operators associated with orthogonal polynomials on the unit circle,
Unnamed Item,
Point transfer matrices for the Schrödinger equation: the algebraic theory,
Complex symplectic geometry with applications to ordinary differential operators,
The Aharonov–Bohm effect and its stationary scattering states from the flat circular annulus U(1) holonomy,
Local spectral properties of reflectionless Jacobi, CMV, and Schrödinger operators,
The similarity problem for \(J\)-nonnegative Sturm-Liouville operators,
On positive differential operators (deficiency indices, factorization, perturbations),
Reduction by symmetries in singular quantum-mechanical problems: General scheme and application to Aharonov-Bohm model,
Hilbert spaces of tempered distributions, Hermite expansions and sequence spaces,
PHYSICS OF SINGULAR POINTS IN QUANTUM MECHANICS,
The Krein–von Neumann extension revisited,
Deficiency indices of the polynomials of formally self-adjoint difference expressions,
Bounded solutions of parabolic equations in unbounded domains,
Coupling constant dependence for the Schrödinger equation with an inverse-square potential,
Generalized boundary conditions for the Aharonov–Bohm effect combined with a homogeneous magnetic field,
Convex hulls of random walks, hyperplane arrangements, and Weyl chambers,
Exactly solvable models of relativistic δ-sphere interactions in quantum mechanics,
Resolvent convergence in norm for Dirac operator with Aharonov–Bohm field,
On the Pauli operator for the Aharonov–Bohm effect with two solenoids,
Essential Spectrum Due to Singularity,
von Neumann Quantization of Aharonov-Bohm Operator with Interaction: Scattering Theory, Spectral and Resonance Properties,
Non-self-adjoint relativistic point interaction in one dimension,
TIME AS A QUANTUM OBSERVABLE,
On self-adjoint boundary conditions for singular Sturm-Liouville operators bounded from below,
On compressions of self-adjoint extensions of a symmetric linear relation,
A unified solution of several classical hydrodynamic stability problems,
Stochastic stability analysis for continuous-time fault tolerant control systems,
On the eigenvalues of spectral gaps of elliptic PDEs on waveguides,
Direct approach for the characteristic function of a dissipative operator with distributional potentials,
On compressions of self-adjoint extensions of a symmetric linear relation with unequal deficiency indices,
Norm estimates for functions of two operators on tensor products of Hilbert spaces,
SPECTRA OF SELF-ADJOINT EXTENSIONS AND APPLICATIONS TO SOLVABLE SCHRÖDINGER OPERATORS,
Green Function and Self-adjoint Laplacians on Polyhedral Surfaces,
Generalized Weyl quantization on the cylinder and the quantum phase,
On interweaving relations,
Cloning of symmetric operators,
On the eigenvalues of spectral gaps of matrix-valued Schrödinger operators,
Non-compact quantum graphs with summable matrix potentials,
Complex symplectic spaces and boundary value problems,
Dissipative operator and its Cayley transform,
Approximate computation of scalar products,
Directing Functionals and De Branges Space Completions in Almost Pontryagin Spaces,
Resolvents of self-adjoint extensions with mixed boundary conditions,
Contractions with rank one defect operators and truncated CMV matrices,
On certain high-order partial differential expressions with δ-potential,
Scattering theory for \(2N\) parameter models of finitely many relativistic \(\delta\)-sphere and \(\delta\)-sphere plus Coulomb interactions supported by concentric spheres in quantum mechanics,
A Hilbert space perspective on ordinary differential equations with memory term,
The Casimir effect with quantized charged scalar matter in background magnetic field,
Complex Jacobi matrices,
On subordinacy and spectral multiplicity for a class of singular differential operators,
On two-dimensional model representations of one class of commuting operators,
ON NON-SELF-ADJOINT OPERATORS FOR OBSERVABLES IN QUANTUM MECHANICS AND QUANTUM FIELD THEORY,
On non‐autonomous integro‐differential‐algebraic evolutionary problems,
On a completely non-unitary contraction and associated dissipative difference operator,
A Survey on the Krein–von Neumann Extension, the Corresponding Abstract Buckling Problem, and Weyl-type Spectral Asymptotics for Perturbed Krein Laplacians in Nonsmooth Domains,
A generalized Weyl relation approach to the time operator and its connection to the survival probability,
A solution theory for a general class of SPDEs,
Simplicity and spectrum of singular Hamiltonian systems of arbitrary order,
The Krein–von Neumann extension and its connection to an abstract buckling problem,
The Fourier–Plancherel transform as a spectral representation of a rigged Hilbert space,
An improvement to a Berezin-Li-Yau type inequality,
Influence of quantized massive matter fields on the Casimir effect,
Manifolds of classical probability distributions and quantum density operators in infinite dimensions,
Unnamed Item,
C * -subalgebras generated by partial isometries,
Approximations with Real Linear Modules,
Self-adjoint operators and the general GKN-EM theorem,
Change of representation and the rigged Hilbert space formalism in quantum mechanics,
Pressure from the vacuum of confined spinor matter,
Метод нелинейных граничных интегральных уравнений для решения квазистатической контактной задачи о взаимодействии упругих тел при наличии кулонова трения,
On essential self-adjointness for first order differential operators on domains in \(\mathbb{R}^d\),
OPERATOR FRACTIONAL BROWNIAN MOTION AS LIMIT OF POLYGONAL LINES PROCESSES IN HILBERT SPACE,
Explicit Krein resolvent identities for singular Sturm-Liouville operators with applications to Bessel operators,
Norm estimates for a semigroup generated by the sum of two operators with an unbounded commutator,
On dual definite subspaces in Krein space,
Perturbations of Donoghue classes and inverse problems for L-systems,
Bessel-type operators and a refinement of Hardy's inequality,
Confined quantum systems and their limits,
On couplings of symmetric operators with possibly unequal and infinite deficiency indices,
\(J\)-self-adjoint extensions for a class of discrete linear Hamiltonian systems,
On a gateway between continuous and discrete Bessel and Laguerre processes,
Dynamical properties of families of discrete delay advection–reaction operators,
Boundary relations and their Weyl families,
NEW DEVELOPMENTS IN THE STUDY OFTIMEAS A QUANTUM OBSERVABLE,
Hilbert spaces expanded with a unitary operator,
Fourth-order Bessel equation: eigenpackets and a generalized Hankel transform†,
Convergence of regular approximations to the spectra of singular fourth-order Sturm–Liouville problems,
On the efficiency of Hamiltonian-based quantum computation for low-rank matrices,
Reversibility conditions for quantum channels and their applications,
An estimate for the resolvent of a non-self-adjoint differential operator on the half-line,
Unnamed Item,
THE FINITE SECTION METHOD FOR DISSIPATIVE OPERATORS,
A Hilbert space approach to fractional differential equations,
Limiting absorption principle and virtual levels of operators in Banach spaces,
Two-dimensional Dirac operators with general δ-shell interactions supported on a straight line,
Phillips symmetric operators and functional calculus of maximal symmetric operators,
Thermal time as an unsharp observable,
Essential spectrum for dissipative Maxwell equations in domains with cylindrical ends,
Representations of polynomial covariance type commutation relations by linear integral operators on \(L_p\) over measure spaces,
Well posedness for one class of elliptic equations with drift,
Linear integral operators on \(L_p\) spaces representing polynomial covariance type commutation relations,
Multiplication and linear integral operators on \(L_p\) spaces representing polynomial covariant type commutation relations,
Representations of polynomial covariance type commutation relations by piecewise function multiplication and composition operators,
Orthogonal polynomial solutions of linear ordinary differential equations,
The spectrum of differential operators of order \(2n\) with almost constant coefficients