Convergence of generalized eigenfunction expansions.

Sakata, Mayumi

Displaying similar documents to “Convergence of generalized eigenfunction expansions.”

On the spectral properties of translation operators in one-dimensional tubes

Wojciech Hyb (1991)

Annales Polonici Mathematici

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We study the spectral properties of some group of unitary operators in the Hilbert space of square Lebesgue integrable holomorphic functions on a one-dimensional tube (see formula (1)). Applying the Genchev transform ([2], [5]) we prove that this group has continuous simple spectrum (Theorem 4) and that the projection-valued measure for this group has a very explicit form (Theorem 5).

$L^{2}$ -boundedness and $L^{2}$ -compactness of a class of Fourier integral operators.

Messirdi, Bekkai, Senoussaoui, Abderrahmane (2006)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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The division method for subspectra of self-adjoint differential vector-operators.

Sokolov, Maksim (2005)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Functions of operators and their commutators in perturbation theory

Yu. Farforovskaya (1994)

Banach Center Publications

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This paper shows some directions of perturbation theory for Lipschitz functions of selfadjoint and normal operators, without giving precise proofs. Some of the ideas discussed are explained informally or for the finite-dimensional case. Several unsolved problems are mentioned.

Spectral decomposition theorem for compact self-adjoint operators in prehilbert spaces.

Lárez, Hanzel (2005)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Rotation methods in operator ergodic theory.

Berkson, Earl (2011)

The New York Journal of Mathematics [electronic only]

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Quasireversibility for inhomogeneous ill-posed problems in Hilbert spaces.

Hetrick, Beth M.Campbell (2010)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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On the structure of G-spaces

Jesús Castillo (1991)

Colloquium Mathematicae

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Pseudodifferential operators with generalized symbols and regularity theory.

Garetto, Claudia, Gramchev, Todor, Oberguggenberger, Michael (2005)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Completeness of elementary solutions of second order elliptic equations in a semi-infinite tube domain.

Yakubov, Yakov (2002)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Sufficient conditions of local solvability for partial differential operators on spaces of Colombeau type.

Garetto, Claudia (2009)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Hilbert-Schmidt operators vs. integrable systems of elliptic Calogero-Moser type III: The Heun case.

Ruijsenaars, Simon N.M. (2009)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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Existence and regularity of the solution of a time dependent Hartree-Fock equation coupled with a classical nuclear dynamics.

Lucie Baudouin (2005)

Revista Matemática Complutense

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We study an Helium atom (composed of one nucleus and two electrons) submitted to a general time dependent electric field, modeled by the Hartree-Fock equation, whose solution is the wave function of the electrons, coupled with the classical Newtonian dynamics, for the position of the nucleus. We prove a result of existence and regularity for the Cauchy problem, where the main ingredients are a preliminary study of the regularity in a nonlinear Schrödinger equation with semi-group techniques...