Zap. Nauchn. Sem. LOMI, 1971, Volume 22

JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

1971, Volume 22

Contents

Investigations on linear operators and function theory. Part II

	Editor's preface N. K. Nikol'skii	7
	On the factorization of analytic functions with the derivative in $H^p$ S. A. Vinogradov, N. A. Shirokov	8
	Duality and isomorphism of spaces of solutions of elliptic equations S. V. Gurov	28
	The completeness of the wave operators for systems with homogeneous propagation V. G. Deich	36
	Spectral properties of unitary operators in $C$ A. K. Kitover	47
	On the unitary spectrum of contraction operators in the Banach space A. S. Markus, L. N. Nikol'skaya, N. K. Nikol'skii	65
	On the spectral analysis on the unitary spectrum. Point spectrum. II N. K. Nikol'skii	75
	The stability of the unicellularity for analytic perturbations ot the class $\Omega_0^+$ N. K. Nikol'skii	89
	Embedding theorems for the weighted class of harmonic and analytic functions V. L. Oleinik, B. S. Pavlov	94
	The continuation of $L^p$-isometries A. I. Plotkin	103
	On the maximality of the algebra of functions continuous on the extended complex plane and analytic on the complement of a totally disconnected compact V. N. Senichkin	130
	Absolutely regular trajectories in the Hilbert space V. N. Solev	139
	Impossibility of the Carleman approximation of function continuous on the unit circumference by boundary values of functions analytic and uniformly continuous in the unit disc V. P. Havin	161

Short communications
	The closedness of the image of a convex set E. L. Arenson	171
	Potential theory and geometrical optic V. S. Buslaev	175
	Individual theorems of the Wiener–Levy type for Fourier series and integrals E. M. Dyn'kin	181
	On traces of elements of the space $V_2$ Ju. I. Kopilevich	183
	$\omega$ – independence, stability and massivity of sets of eigenvectors of linear operators L. N. Nikol'skaya	190
	On a question concerning equivalent right regularisator O. I. Panich, V. A. Solonnikov	192
	On sets of the divergence of integrals of the potential type with $L^p$-densities S. P. Preobrazenskii	196
	Example of a thick polynomially convex compact subset of the space $\mathbf C^2$ with connected interior on which not every continuous function analytic at interior points is uniformly approximable by polynomials V. N. Senichkin	199
	О факторизации аналитических функций, гладких вплоть до границы V. P. Havin	202
	Division by an inner function in some spaces of functions analytic in the disc F. A. Shamoyan	206
	On the uniform approximation of functions on closed sets without angular points M. I. Shirokov	209