Operator theory 

About: Operator theory is an academic journal published by Springer Nature. The journal publishes majorly in the area(s): Operator (computer programming) & Hilbert space. It has an ISSN identifier of 0255-0156. Over the lifetime, 360 publications have been published receiving 5204 citations. The journal is also known as: OT & Advances and applications.

Generalized strichartz inequalities for the wave equation

Abstract: Strichartz inequalities for the wave equation □u = f are estimates of the solution u of the Cauchy problem for that equation, in the form of space time integral norms, in terms of similar norms of the inhomogeneity f and of suitable norms of the initial data.

Generalized Hermite Polynomials and the Bose-Like Oscillator Calculus

Abstract: This paper studies a suitably normalized set of generalized Hermite polynomials and sets down a relevant Mehler formula, Rodrigues formula, and generalized translation operator. Weighted generalized Hermite polynomials are the eigenfunctions of a generalized Fourier transform which satisfies an F. and M. Riesz theorem on the absolute continuity of analytic measures. The Bose-like oscillator calculus, which generalizes the calculus associated with the quantum mechanical simple harmonic oscillator, is studied in terms of these polynomials.

A review of Hardy inequalities

Abstract: We review the literature concerning the Hardy inequality for regions in Euclidean space and in manifolds, concentrating on the best constants. We also give applications of these inequalities to boundary decay and spectral approximation.

Spectral theory of canonical differential systems : method of operator identities

Abstract: 1 Factorization of Operator-valued Transfer Functions- 11 Realization of operator-valued functions- 12 A factorization method- 13 Factorization of rational operator-valued functions- 2 Operator Identities and S-Nodes- 21 Elementary properties of S-nodes- 22 Symmetric S-nodes- 23 Inherited properties of factors- 3 Continual Factorization- 31 The main continual factorization theorem- 32 Bounded operator-valued functions- 4 Spectral Problems on the Half-line- 41 Basic notions of spectral theory- 42 Direct and inverse spectral problems- 43 Livsic-Brodski? nodes and the spectral theory of canonical systems- 5 Spectral Problems on the Line- 51 Spectral data of a canonical system- 52 Spectral problems and S-nodes- 53 The inverse spectral problem- 6 Weyl-Titchmarsh Functions of Periodic Canonical Systems- 61 Multipliers and their behavior- 62 Weyl-Titchmarsh functions- 63 Singular points of the Weyl-Titchmarsh matrix function- 7 Division of Canonical Systems into Subclasses- 71 An effective solution of the inverse problem- 72 Two principles of dividing a class of canonical systems into subclasses- 8 Uniqueness Theorems- 81 Monodromy matrix and uniqueness theorems- 82 Spectral data and uniqueness theorems- 9 Weyl Discs and Points- 91 Basic notions- 92 Symmetric operators and deficiency indices- 93 Weyl-Titchmarsh matrix functions on the line- 94 Weyl-Titchmarsh matrix function of a system with shifted argument- 10 A Class of Canonical Systems- 101 Asymptotic formulas- 102 Spectral analysis- 103 Transformed canonical systems- 104 Dirac-type systems- 105 An inverse problem- 106 On the limit Titchmarsh-Weyl function- 11 Classical Spectral Problems- 111 Generalized string equation (direct spectral problem)- 112 Matrix Sturm-Liouville equation (direct spectral problem)- 113 Inverse spectral problem- 12 Nonlinear Integrable Equations and the Method of the Inverse Spectral Problem- 121 Evolution of the spectral data- 122 Some classical nonlinear equations- 123 On the unique solvability of the mixed problem- 124 A hierarchy of nonlinear equations and asymptotic behavior of Weyl-Titchmarsh functions- Comments- References