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Author: Paul Richard HalmosPublisher:
ISBN:
Category : Integral operators
Languages : en
Pages : 0
Book Description
Bounded Integral Operators on L [squared] Spaces
![Bounded Integral Operators on L [squared] Spaces PDF](https://books.google.com/books/content/images/frontcover/78nV0AEACAAJ?fife=w80-h100)
Author: Paul Richard HalmosPublisher:
ISBN:
Category : Integral operators
Languages : en
Pages : 0
Book Description
Bounded Integral Operators on L 2 Spaces
Author: P. R. HalmosPublisher: Springer Science & Business Media
ISBN: 3642670164
Category : Mathematics
Languages : en
Pages : 147
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
Author: Paul Richard HalmosPublisher: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 160
Book Description
Bounded integral operators on L2 spaces
Author: Paul R. HalmosAspects of the Theory of Bounded Integral Operators in L'-spaces
Author: G. O. OkikioluWavelets and Singular Integrals on Curves and Surfaces
Author: Guy DavidPublisher: Springer
ISBN: 3540463771
Category : Mathematics
Languages : en
Pages : 119
Book Description
Wavelets are a recently developed tool for the analysis and synthesis of functions; their simplicity, versatility and precision makes them valuable in many branches of applied mathematics. The book begins with an introduction to the theory of wavelets and limits itself to the detailed construction of various orthonormal bases of wavelets. A second part centers on a criterion for the L2-boundedness of singular integral operators: the T(b)-theorem. It contains a full proof of that theorem. It contains a full proof of that theorem, and a few of the most striking applications (mostly to the Cauchy integral). The third part is a survey of recent attempts to understand the geometry of subsets of Rn on which analogues of the Cauchy kernel define bounded operators. The book was conceived for a graduate student, or researcher, with a primary interest in analysis (and preferably some knowledge of harmonic analysis and seeking an understanding of some of the new "real-variable methods" used in harmonic analysis.
Aspects of the Theory of Bounded Integral Operators in Lp-spaces
Author: George Olatokunbo OkikioluPublisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 542
Book Description
Aspects of the theory of bounded integral operators in L super p-spaces
Author: George O. OkikioluAspects of Theory of Bounded Integral Operators in L'p Spaces
Author: George Olatokunbo OkikioluPublisher:
ISBN:
Category :
Languages : en
Pages : 522
Book Description
Author: