Title | Linear Operators and Approximation / Lineare Operatoren und Approximation [electronic resource] : Proceedings of the Conference held at the Oberwolfach Mathematical Research Institute, Black Forest, August 14-22, 1971 / Abhandlungen zur Tagung im Mathematischen Forschungsinstitut Oberwolfach, Schwarzwald, vom 14. bis 22. August 1971 / edited by P. L. Butzer, J.-P. Kahane, B. Szรถkefalvi-Nagy |
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Imprint | Basel : Birkhรคuser Basel : Imprint: Birkhรคuser, 1972 |
Connect to | http://dx.doi.org/10.1007/978-3-0348-7283-6 |
Descript | 506 p. online resource |
I. Operator Theory -- Generalizations of Landauโs inequality -- Semi-groups of nonlinear transformations -- Singular perturbations of semi-group generators -- Cyclic vectors and commutants -- Some applications of operator valued analytic functions of two complex variables -- Weylโs theorems -- Some approximation problems in the theory of stationary processes -- Ein Operatorenkalkรผl fรผr das approximationstheoretische Verhalten des Ergodensatzes im Mittel. -- A note on the LandauโKallmannโRotaโHille inequality -- II. Topics in Functional Analysis -- Representation theorems for Riesz spaces -- Boundedness from measure theory -- Exchange of infinite summation with limits in Banach spaces -- Finite parts of distributions -- Courants et courants cylindriques sur des variรฉtรฉs de dimension infinie -- Subdefinite functions -- Eine Bemerkung zum Banachschen Fixpunktsatz. -- On a certain converse of Hรถlderโs inequality -- III. Approximation in Abstract Spaces -- On some geometric properties of the unit sphere -- Diskrete Konvergenz linearer Operatoren III -- On set-valued metric projections -- On the comparison of approximation processes in Hubert spaces -- Sรคtze vom Jackson-Typ auf Darstellungsrรคumen kompakter, zusammenhรคngender Liegruppen -- Approximation dโespaces de fonctions C? et interpolation -- Nonlinear transformations with the conservation of differential properties of functions -- Positive and monotone approximation -- Sรคtze vom BohmannโKorowkin-Typ fรผr Banachsche Funktionenrรคume -- IV. Harmonic Analysis and Approximation -- Projection mรฉtrique de L1 (T) sur des sous-espaces fermรฉs invariants par translation -- Bases dans H1 et bases de sous-espaces de dimension finie dans A -- Logarithmic and exponential variants of Bernsteinโs inequality and generalized derivatives -- Fourier multipliers whose multiplier norm is an attained value -- Nikolskรผ constants for positive singular integrals of perturbed Fejรฉr-type -- A pointwise โoโ saturation theorem for positive convolution operators -- Convolution operators for FourierโJacobi expansions -- V. Spline- and Algebraic Approximation -- Cardinal interpolation and spline functions IV. The exponential Euler splines -- ?????????? ???????? ? ?????? ??????????? (Anwendungen von Splines in der Approximationstheorie) 419 -- The fundamental theorem of algebra for monosplines with multiplicities -- A contribution to the problem of weighted polynomial approximation -- Zur Konvergenz der Stufenpolynome รผber den Nullstellen der Legendre-Polynome -- Chebyshev semi-discrete approximations for linear parabolic problems -- On the convergence theory of Padรฉ approximants -- Singular self-adjoint multipoint boundary value problems: Solutions and approximations -- รber die Konvergenz von natรผrlichen interpolierenden Splines -- New and Unsolved Problems -- Alphabetical List of Papers