Titlebook: Spectral Theory; M. Sh. Birman Book 1969 Springer Science+Business Media New York 1969 Potential.eigenvalue.solution.wave equation

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粗鄙的人

Traumatic-Grief

Alcove

The Singular Numbers of the Sum of Completely Continuous Operators,The relation between the singular numbers (s-numbers) of a sum of completely continuous operators and the singular numbers of the individual terms has been studied in [1–4]. In particular, the results of [1] allow us to introduce a symmetric norm (see [5]) in some ideals of the ring . of all bounded linear operators acting in Hilbert space.

Affection

放弃

,Correction to “The Inverse Problem in the Theory of Seismic Wave Propagation”,An error has crept into the article with the above title published in Topics in Mathematical Physics, Vol. 1, p. 55 (1967).

机密

Exclude

The Discrete Spectra of the Dirac and Pauli Operators,is based on the estimation of the quadratic forms of the above operators by means of the quadratic forms of operators with well-known spectra. We may count the Schroedinger operator among the latter. Estimates of this type extended to both sides allow us, in some cases, to establish the criteria for

争议的苹果

The Nonself-Adjoint Schroedinger Operator. III, article published in the second volume of the present series [2]. An example of a nonself-adjoint Schroedinger operator with a rapidly decreasing potential and an infinite number of eigenvalues was given in [2]. Here, we will show that the spectrum of the Schroedinger operator can have a very compl

capsule

Discrete Fourier Transform and Theta Function Identities, functions is derived. Watson addition formula and Riemann’s identity are obtained as a particular case. An extensions of some classical identities corresponding to the theta functions ..(., .) with .,. ∈ . are also derived.