应用数学和力学：英文版, ISSN 0253-4827, 2010, Volume 31, Issue 10, pp. 1241 - 1250

The eigenvalue problem of the Hamiltonian operator associated with plane elasticity problems is investigated.The eigenfunctions of the operator are directly...

简支 | 混合边界条件 | 特征值问题 | 哈密顿算子 | 平面弹性问题 | 矩形平面 | 展开定理 | 本征函数 | symplectic orthogonality | Mathematics | 47A75 | O343.1 | eigenfunction expansion | Mechanics | Hamiltonian system | Mathematical Modeling and Industrial Mathematics | Applications of Mathematics | 74B10 | Hamiltonian operator | O175.3 | plane elasticity problem | MATHEMATICS, APPLIED | MECHANICS | PLATES | Operators | Theorems | Planes | Mathematical analysis | Eigenvalues | Elasticity | Eigenfunctions | Mathematical models

简支 | 混合边界条件 | 特征值问题 | 哈密顿算子 | 平面弹性问题 | 矩形平面 | 展开定理 | 本征函数 | symplectic orthogonality | Mathematics | 47A75 | O343.1 | eigenfunction expansion | Mechanics | Hamiltonian system | Mathematical Modeling and Industrial Mathematics | Applications of Mathematics | 74B10 | Hamiltonian operator | O175.3 | plane elasticity problem | MATHEMATICS, APPLIED | MECHANICS | PLATES | Operators | Theorems | Planes | Mathematical analysis | Eigenvalues | Elasticity | Eigenfunctions | Mathematical models

Journal Article

Potential Analysis, ISSN 0926-2601, 03/1992, Volume 1, Issue 1, pp. 1 - 35

Journal Article

Communications in Mathematical Physics, ISSN 0010-3616, 01/1994, Volume 159, Issue 1, pp. 151 - 174

Scaling level-spacing distribution functions in the ''bulk of the spectrum'' in random matrix models of N x N hermitian matrices and then going to the limit N...

PAINLEVE TRANSCENDENT | PHYSICS, MATHEMATICAL | EQUATION | 82B05 | 47A75 | 82B10 | 33C90 | 47G10 | 47N55

PAINLEVE TRANSCENDENT | PHYSICS, MATHEMATICAL | EQUATION | 82B05 | 47A75 | 82B10 | 33C90 | 47G10 | 47N55

Journal Article

Communications in Mathematical Physics, ISSN 0010-3616, 09/1993, Volume 156, Issue 1, pp. 169 - 177

Journal Article

Communications in Mathematical Physics, ISSN 0010-3616, 03/1994, Volume 161, Issue 2, pp. 289 - 309

Scaling models of random N x N hermitian matrices and passing to the limit N --> infinity leads to integral operators whose Fredholm determinants describe the...

RANDOM-MATRIX-ENSEMBLES | PHYSICS, MATHEMATICAL | EIGENVALUES | 82B05 | 47A75 | 82B10 | 33C90 | 47G10 | 47N55

RANDOM-MATRIX-ENSEMBLES | PHYSICS, MATHEMATICAL | EIGENVALUES | 82B05 | 47A75 | 82B10 | 33C90 | 47G10 | 47N55

Journal Article

Communications in Mathematical Physics, ISSN 0010-3616, 06/1994, Volume 163, Issue 1, pp. 33 - 72

Orthogonal polynomial random matrix models of N x N hermitian matrices lead to Fredholm determinants of integral operators with kernel of the form...

STRINGS | 2-DIMENSIONAL QUANTUM-GRAVITY | FREUD POLYNOMIALS | ENSEMBLES | ISING-MODEL | ONE DIMENSION | LESS | PHYSICS, MATHEMATICAL | SCATTERING | 82B05 | 47A75 | 82B10 | 33C90 | 47G10 | 47N55

STRINGS | 2-DIMENSIONAL QUANTUM-GRAVITY | FREUD POLYNOMIALS | ENSEMBLES | ISING-MODEL | ONE DIMENSION | LESS | PHYSICS, MATHEMATICAL | SCATTERING | 82B05 | 47A75 | 82B10 | 33C90 | 47G10 | 47N55

Journal Article

Integral Equations and Operator Theory, ISSN 0378-620X, 09/1993, Volume 17, Issue 3, pp. 443 - 449

Consider a functionL([lambda]) defined on an interval I of the real axis whose values are linear bounded selfadjoint operators in a Hilbert spaceH. A point...

MSC 1991: Primary 47A56, Secondary: 47A75

MSC 1991: Primary 47A56, Secondary: 47A75

Journal Article

Integral Equations and Operator Theory, ISSN 0378-620X, 03/1994, Volume 18, Issue 1, pp. 109 - 117

Journal Article

Integral Equations and Operator Theory, ISSN 0378-620X, 6/1998, Volume 32, Issue 2, pp. 152 - 179

Journal Article

Experimental Mathematics, ISSN 1058-6458, 01/1999, Volume 8, Issue 3, pp. 301 - 308

We consider a bounded Rooms and Passages region Ω on which the negative Neumann laplacian (restricted to the orthogonal complement of the constant functions)...

MATHEMATICS | 65N99 | 47A75 | 65T99

MATHEMATICS | 65N99 | 47A75 | 65T99

Journal Article

Results in Mathematics, ISSN 0378-6218, 5/1999, Volume 35, Issue 3, pp. 325 - 354

We study eigenvalue problems Fy = λ Gy consisting of Hamiltonian systems of ordinary differential equations on a compact interval with symmetric λ-linear...

47E05 | Hamiltonian systems | Eigenfunction expansions | Primary 47B50 | Secondary 34B24 | Pontrjagin space | Eigenvalue problems | Mathematics, general | Mathematics | 47A75 | 34L10

47E05 | Hamiltonian systems | Eigenfunction expansions | Primary 47B50 | Secondary 34B24 | Pontrjagin space | Eigenvalue problems | Mathematics, general | Mathematics | 47A75 | 34L10

Journal Article

Inventiones mathematicae, ISSN 0020-9910, 06/2000, Volume 140, Issue 3, pp. 693 - 704

Improved estimates on the constants L γ,d , for 1/2<γ<3/2, d∈N, in the inequalities for the eigenvalue moments of Schrödinger operators are established.

Mathematics Subject Classification : 35P15, 35L15, 47A75, 35J10 | MATHEMATICS | EIGENVALUES | OPERATORS | operators | eigenvalues

Mathematics Subject Classification : 35P15, 35L15, 47A75, 35J10 | MATHEMATICS | EIGENVALUES | OPERATORS | operators | eigenvalues

Journal Article

Integral Equations and Operator Theory, ISSN 0378-620X, 6/2000, Volume 38, Issue 2, pp. 190 - 206

Double variational principles are established for eigenvalues of a (norm) continuous self-adjoint operator valued functionL defined on a real interval [α,...

Mathematics | 47A75 | Analysis | 49R50 | MATHEMATICS

Mathematics | 47A75 | Analysis | 49R50 | MATHEMATICS

Journal Article

Acta Mathematica Sinica, ISSN 1439-8516, 7/2000, Volume 16, Issue 3, pp. 361 - 368

A variational formula for the lower bound of the principal eigenvalue of general Markov jump processes is presented. The result is complete in the sense that...

60J75 | Jump processes | Variational formula for Dirichlet form | Mathematics, general | Principal eigenvalue | Mathematics | 47A75 | Studies | Markov analysis | Eigen values | Eigenvalues | Markov processes | Lower bounds | Markov chains | Mathematical analysis

60J75 | Jump processes | Variational formula for Dirichlet form | Mathematics, general | Principal eigenvalue | Mathematics | 47A75 | Studies | Markov analysis | Eigen values | Eigenvalues | Markov processes | Lower bounds | Markov chains | Mathematical analysis

Journal Article

Calculus of Variations and Partial Differential Equations, ISSN 0944-2669, 06/2000, Volume 10, Issue 4, pp. 321 - 347

In this paper we give two different variational characterizations for the eigenvalues of H+V where H denotes the free Dirac operator and V is a scalar...

Mathematics Subject Classification : 49R05, 49R10, 49R20, 49S05, 47A75, 81Q10, 35P05, 35Q75, 35A15 | MATHEMATICS, APPLIED | ONE-ELECTRON ATOMS | EQUATION | STABILITY

Mathematics Subject Classification : 49R05, 49R10, 49R20, 49S05, 47A75, 81Q10, 35P05, 35Q75, 35A15 | MATHEMATICS, APPLIED | ONE-ELECTRON ATOMS | EQUATION | STABILITY

Journal Article

Journal of Functional Analysis, ISSN 0022-1236, 09/2000, Volume 176, Issue 1, pp. 100 - 114

It is well known that the sum of negative (positive) eigenvalues of some finite Hermitian matrix V is concave (convex) with respect to V. Using the theory of...

perturbation theory | spectral shift function | eigenvalue problems | Eigenvalue problems; spectral shift function; perturbation theory | MATHEMATICS

perturbation theory | spectral shift function | eigenvalue problems | Eigenvalue problems; spectral shift function; perturbation theory | MATHEMATICS

Journal Article

17.
Full Text
Cheeger's Inequalities for General Symmetric Forms and Existence Criteria for Spectral Gap

The Annals of Probability, ISSN 0091-1798, 1/2000, Volume 28, Issue 1, pp. 235 - 257

In this paper, some new forms of Cheeger's inequalities are established for general (maybe unbounded) symmetric forms (Theorems 1.1 and 1.2): the resulting...

Topological theorems | Spectral theory | Radon | Eigenvalues | Markov processes | Markov chains | Mathematical inequalities | Symmetry | Neumann and Dirichlet eigenvalue | Jump process | Spectral gap | Cheeger's inequality | spectral gap | jump process | STATISTICS & PROBABILITY | 60J75 | 47A75 | 60J25 | Cheeger’s inequality

Topological theorems | Spectral theory | Radon | Eigenvalues | Markov processes | Markov chains | Mathematical inequalities | Symmetry | Neumann and Dirichlet eigenvalue | Jump process | Spectral gap | Cheeger's inequality | spectral gap | jump process | STATISTICS & PROBABILITY | 60J75 | 47A75 | 60J25 | Cheeger’s inequality

Journal Article

Integral Equations and Operator Theory, ISSN 0378-620X, 9/2000, Volume 37, Issue 3, pp. 357 - 373

We study the spectral properties of non-self-adjoint linear pencilsA-λB of bounded operators with discrete spectrum whereB is not necessarily bijective. The...

Secondary 47A56, 47A70 | Analysis | Primary 47A75 | Mathematics

Secondary 47A56, 47A70 | Analysis | Primary 47A75 | Mathematics

Journal Article

Integral Equations and Operator Theory, ISSN 0378-620X, 9/2001, Volume 41, Issue 3, pp. 331 - 342

LetP(λ) be ann×n analytic matrix function andW(P) be its numerical range. In this paper classical results on the normality of matrix eigenvalues on ∂W(P) are...

Secondary 47A12 | Mathematics | 47A75 | Primary 15A60 | Analysis | POLYNOMIALS | MATHEMATICS | NUMERICAL RANGE

Secondary 47A12 | Mathematics | 47A75 | Primary 15A60 | Analysis | POLYNOMIALS | MATHEMATICS | NUMERICAL RANGE

Journal Article

Integral Equations and Operator Theory, ISSN 0378-620X, 6/2001, Volume 39, Issue 2, pp. 153 - 158

A method is given to evaluate in closed form the Fredholm determinants of some Hilbert-Schmidt non-nuclear non-normal operators that arise in the study of the...

58C40 | Mathematics | 47A75 | 47A10 | Analysis | MATHEMATICS | Algorithms

58C40 | Mathematics | 47A75 | 47A10 | Analysis | MATHEMATICS | Algorithms

Journal Article

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