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Linear operators and approximation. Proceedings of the Conference held at the Oberwolfach Mathematical Research Institute, Black Forest, August 14-22, 1971.

Author: Paul Leo Butzer; Jean Pierre Kahane; Béla Szőkefalvi-Nagy; Mathematisches Forschungsinstitut Oberwolfach.
Publisher: Basel, Stuttgart, Birkhäuser, 1972.
Series: International series of numerical mathematics, v. 20.
Edition/Format:   Print book : Conference publication : EnglishView all editions and formats
Database:WorldCat
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Genre/Form: Conference proceedings
Congresses
Congrès
Additional Physical Format: Online version:
Conference on Linear Operators and Approximation (1971 : Oberwolfach Mathematical Research Institute).
Linear operators and approximation.
Basel, Stuttgart, Birkhäuser, 1972
(OCoLC)565235701
Online version:
Conference on Linear Operators and Approximation (1971 : Oberwolfach Mathematical Research Institute).
Linear operators and approximation.
Basel, Stuttgart, Birkhäuser, 1972
(OCoLC)608218458
Material Type: Conference publication
Document Type: Book
All Authors / Contributors: Paul Leo Butzer; Jean Pierre Kahane; Béla Szőkefalvi-Nagy; Mathematisches Forschungsinstitut Oberwolfach.
ISBN: 3764305908 9783764305901
OCLC Number: 699262
Language Note: English, French, German or Russian.
Notes: English, French, German or Russian.
Description: 506 pages 25 cm.
Contents: I. Operator Theory.- Generalizations of Landau's 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.- Weyl's theorems.- Some approximation problems in the theory of stationary processes.- Ein Operatorenkalkul fur das approximationstheoretische Verhalten des Ergodensatzes im Mittel..- A note on the Landau-Kallmann-Rota-Hille 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 varietes de dimension infinie.- Subdefinite functions.- Eine Bemerkung zum Banachschen Fixpunktsatz..- On a certain converse of Holder's 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.- Satze vom Jackson-Typ auf Darstellungsraumen kompakter, zusammenhangender Liegruppen.- Approximation d'espaces de fonctions C? et interpolation.- Nonlinear transformations with the conservation of differential properties of functions.- Positive and monotone approximation.- Satze vom Bohmann-Korowkin-Typ fur Banachsche Funktionenraume.- IV. Harmonic Analysis and Approximation.- Projection metrique de L1 (T) sur des sous-espaces fermes invariants par translation.- Bases dans H1 et bases de sous-espaces de dimension finie dans A.- Logarithmic and exponential variants of Bernstein's inequality and generalized derivatives.- Fourier multipliers whose multiplier norm is an attained value.- Nikolsku constants for positive singular integrals of perturbed Fejer-type.- A pointwise "o" saturation theorem for positive convolution operators.- Convolution operators for Fourier-Jacobi 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 uber den Nullstellen der Legendre-Polynome.- Chebyshev semi-discrete approximations for linear parabolic problems.- On the convergence theory of Pade approximants.- Singular self-adjoint multipoint boundary value problems: Solutions and approximations.- Uber die Konvergenz von naturlichen interpolierenden Splines.- New and Unsolved Problems.- Alphabetical List of Papers.
Series Title: International series of numerical mathematics, v. 20.
Other Titles: Lineare Operatoren und Approximation.
Responsibility: Lineare Operatoren und Approximation. Abhandlungen zur Tagung im Mathematischen Forschungsinstitut Oberwolfach, Schwarzwald ... Edited by P[aul] L. Butzer, J[ean]-P[ierre] Kahane and B. Szőkefalvi-Nagy.

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