An abstract approach to some spectral problems of direct sum differential operators.
Sokolov, Maksim S. (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Sokolov, Maksim S. (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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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).
El Houda Mahmoud, Nour, Yaïch, Imen (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Ilhan, Onur Alp (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Hetrick, Beth M.Campbell (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Berkson, Earl (2011)
The New York Journal of Mathematics [electronic only]
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Singh, R.K. (2010)
Annals of Functional Analysis (AFA) [electronic only]
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Sakata, Mayumi (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Ruijsenaars, Simon N.M. (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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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.
Nasr-Isfahani, A. (1999)
Serdica Mathematical Journal
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Some relationships between representations of a hypergroup X, its algebras, and positive definite functions on X are studied. Also, various types of convergence of positive definite functions on X are discussed.
Xu, Jiafa, Yang, Zhilin (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Davidson, Fordyce A., Rynne, Bryan P. (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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