Bounded Integral Operators on L [squared] Spaces

Bounded Integral Operators on L [squared] Spaces PDF Author: Paul Richard Halmos
Publisher:
ISBN:
Category : Integral operators
Languages : en
Pages : 0

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Bounded Integral Operators on L [squared] Spaces

Bounded Integral Operators on L [squared] Spaces PDF Author: Paul Richard Halmos
Publisher:
ISBN:
Category : Integral operators
Languages : en
Pages : 0

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Bounded Integral Operators on L 2 Spaces

Bounded Integral Operators on L 2 Spaces PDF Author: P. R. Halmos
Publisher: Springer Science & Business Media
ISBN: 3642670164
Category : Mathematics
Languages : en
Pages : 147

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Book Description
The subject. The phrase "integral operator" (like some other mathematically informal phrases, such as "effective procedure" and "geometric construction") is sometimes defined and sometimes not. When it is defined, the definition is likely to vary from author to author. While the definition almost always involves an integral, most of its other features can vary quite considerably. Superimposed limiting operations may enter (such as L2 limits in the theory of Fourier transforms and principal values in the theory of singular integrals), IJ' spaces and abstract Banach spaces may intervene, a scalar may be added (as in the theory of the so-called integral operators of the second kind), or, more generally, a multiplication operator may be added (as in the theory of the so-called integral operators of the third kind). The definition used in this book is the most special of all. According to it an integral operator is the natural "continuous" generali zation of the operators induced by matrices, and the only integrals that appear are the familiar Lebesgue-Stieltjes integrals on classical non-pathological mea sure spaces. The category. Some of the flavor of the theory can be perceived in finite dimensional linear algebra. Matrices are sometimes considered to be an un natural and notationally inelegant way of looking at linear transformations. From the point of view of this book that judgement misses something.

Bounded Integral Operators on L2 Spaces

Bounded Integral Operators on L2 Spaces PDF Author: Paul Richard Halmos
Publisher: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 160

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Bounded integral operators on L2 spaces

Bounded integral operators on L2 spaces PDF Author: Paul R. Halmos
Publisher:
ISBN:
Category :
Languages : de
Pages :

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Scientific and Technical Aerospace Reports

Scientific and Technical Aerospace Reports PDF Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 784

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Book Description
Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.

Aspects of the Theory of Bounded Integral Operators in L'-spaces

Aspects of the Theory of Bounded Integral Operators in L'-spaces PDF Author: G. O. Okikiolu
Publisher:
ISBN:
Category :
Languages : en
Pages : 522

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Aspects of the Theory of Bounded Integral Operators in Lp-spaces

Aspects of the Theory of Bounded Integral Operators in Lp-spaces PDF Author: George Olatokunbo Okikiolu
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 542

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Aspects of the theory of bounded integral operators in L super p-spaces

Aspects of the theory of bounded integral operators in L super p-spaces PDF Author: George O. Okikiolu
Publisher:
ISBN:
Category :
Languages : en
Pages : 522

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Aspects of Theory of Bounded Integral Operators in L'p Spaces

Aspects of Theory of Bounded Integral Operators in L'p Spaces PDF Author: George Olatokunbo Okikiolu
Publisher:
ISBN:
Category :
Languages : en
Pages : 522

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Singular Integral Operators

Singular Integral Operators PDF Author: Solomon G. Mikhlin
Publisher: Springer Science & Business Media
ISBN: 9783540159674
Category : Mathematics
Languages : en
Pages : 530

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Book Description
The present edition differs from the original German one mainly in the following addi tional material: weighted norm inequalities for maximal functions and singular opera tors (§ 12, Chap. XI), polysingular integral operators and pseudo-differential operators (§§ 7, 8, Chap. XII), and spline approximation methods for solving singular integral equations (§ 4, Chap. XVII). Furthermore, we added two subsections on polynomial approximation methods for singular integral equations over an interval or with dis continuous coefficients (Nos. 3.6 and 3.7, Chap. XVII). In many places we incorporated new results which, in the vast majority, are from the last five years after publishing the German edition (note that the references are enlarged by about 150 new titles). S. G. Mikhlin wrote §§ 7, 8, Chap. XII, and the other additions were drawn up by S. Prossdorf. We wish to express our deepest gratitude to Dr. A. Bottcher and Dr. R. Lehmann who together translated the text into English carefully and with remarkable expertise.