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Classic exposition of modern theories of differentiation and integration and the principal problems and methods of handling integral equations and linear functionals and transformations. Topics include Lebesque and Stieltjes integrals, Hilbert and Banach spaces, self-adjunct transformations, spectral theories for linear transformations of general type, much more. Translated from 2nd French edition by Leo F. Boron. 1955 edition. Bibliography.
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Customer Reviews (2)

The standard work, but there are better
This is the "standard" book on the subject. It is referenced everywhere. It has a lot in it. I have not read it cover to cover, just used it for reference, but if you are new to the subject I think Kolmogorov and Fomin looks beeter, and Shilov's books look better too.

Very readable classic
This book is a bargain ... in these days of $100 paperbacks ! The foreign authors, who 1st published this in the early 50s, write in a very readable way as opposed to most US profs. The book starts with an example of a continuous function which is not differentiable and then proves Lebesgue's theorem which tells you when a function does have a derivative.The 2nd part of the book is about Integral equations which again starts with some examples of problems the early 19th century mathematicians solved. Particularly interesting to me was Fredholm's method which was to replace the integral with a series. The book covers all the topics you would expect in a very readable form. ... Read more

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Les achats comprennent une adhésion à l'essai gratuite au club de livres de l'éditeur, dans lequel vous pouvez choisir parmi plus d'un million d'ouvrages, sans frais. Le livre consiste d'articles Wikipedia sur : Adrián Szekeres, Máté Kiss, Hans Richter, Éva Henger, Krisztián Németh, Zsolt Borkai, Frigyes Riesz, Julius König, József Szlávy, Zsolt Szabó. Non illustré. Mises à jour gratuites en ligne. Extrait : Adrián Szekeres, né le 21 avril 1989, est un footballeur hongrois. Il joue au poste de défenseur latéral avec l'équipe hongroise de MTK Hungária FC. Son nom est lu de cette manière : Szekeres Adrián dans sa langue d'origine. Adrián Szekeres commence le football dans le club hongrois de Újpest Football Club en 2005. Mais il change de club pour MTK Hungária FC où il joue en équipes jeunes jusqu'en 2007. Il débute très tôt en professionnel le 27 juillet 2007 contre FC Fehérvár en Soproni Liga, il est alors âgé de 19 ans. Il dispute 5 matchs lors de cette saison. Après une rétrogradation en équipe réserve lors de la saison 2008-09, Adrián Szekeres postule pour une place de joueur de rotation au sein de l'équipe professionnelle pour cette nouvelle saison 2009-10. En 2005-2006, il est sélectionné tout au long de la saison avec l'équipe de Hongrie des moins de 17 ans pour participer Championnat d'Europe des moins de 17 ans, la Hongrie arrive à se qualifier en phase finale mais termine troisième de son groupe, Adrián en comptant les qualifications joue 6 matchs. En 2007-2008, il est sélectionné avec l'équipe de Hongrie des moins de 19 ans pour participer Championnat d'Europe des moins de 19 ans, la Hongrie fait un bon parcours et arrive en demi finale de la compétition, András en comptant les qualifications joue 8 matchs pour un but. En 2009, Adrián participe à la Coupe du monde des moins de 20 ans en Égypte, il y dispute 6 matchs. La Hongrie terminera troisième de la Coupe du monde. A noter qu'il se fait expulser en quart de fin...http://booksllc.net/?l=fr ... Read more

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In complex analysis, the Hardy spaces (or Hardy classes) Hp are certain spaces of holomorphic functions on the unit disk or upper half plane. They were introduced by Frigyes Riesz (Riesz 1923), who named them after G. H. Hardy, because of the paper (Hardy 1915). In real analysis Hardy spaces are certain spaces of distributions on the real line, which are (in the sense of distributions) boundary values of the holomorphic functions of the complex Hardy spaces, and are related to the Lp spaces of functional analysis. For 1 ? p ? ? these real Hardy spaces Hp are certain subsets of Lp, while for p < 1 the Lp spaces have some undesirable properties, and the Hardy spaces are much better behaved. There are also higher dimensional generalizations, consisting of certain holomorphic functions on tube domains in the complex case, or certain spaces of distributions on Rn in the real case. Hardy spaces have a number of applications in mathematical analysis itself, as well as in control theory (such as H? methods) and in scattering theory. ... Read more

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The leading textbook in a modern and rapidly progressing branch of mathematics, the work of two distinguished authors in the field. Includes-Appendix to Functional Analysis- Extensions of linear transformations in Hilbert Space which extend beyond this space. ... Read more

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High Quality Content by WIKIPEDIA articles! The Radon?Riesz property is a mathematical property for normed spaces that helps ensure convergence in norm. Essentially, given two assumptions (essentially weak convergence and continuity of norm), we would like to ensure convergence in the norm topology. Although it would appear that Johann Radon was one of the first to make significant use of the this property in 1913, M. I. Kadets and V. L. Klee also used versions of the Radon?Riesz property to make advancements in Banach space theory in the late 1920s. It is common for the Radon?Riesz property to also be referred to as the Kadets?Klee property or property (H). According to Robert Megginson, the letter H does not stand for anything. It was simply referred to as property (H) in a list of properties for normed spaces that starts with (A) and ends with (H). This list was given by K. Fan and I. Glicksberg. The "Riesz" part of the name refers to Frigyes Riesz. He also made some use of this property in the 1920s. ... Read more

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High Quality Content by WIKIPEDIA articles! The Radon?Riesz property is a mathematical property for normed spaces that helps ensure convergence in norm. Essentially, given two assumptions (essentially weak convergence and continuity of norm), we would like to ensure convergence in the norm topology.Suppose that (X, ||·||) is a normed space. We say that X has the Radon?Riesz property (or that X is a Radon?Riesz space) if whenever (xn) is a sequence in the space and x is a member of X such that (xn) converges converges weakly to x and lim_{ntoinfty} Vert x_n Vert = Vert xVert , then (xn) converges to x in norm; that is, lim_{ntoinfty} Vert x_n - xVert = 0 . Although it would appear that Johann Radon was one of the first to make significant use of the this property in 1913, M. I. Kadets and V. L. Klee also used versions of the Radon?Riesz property to make advancements in Banach space theory in the late 1920s. It is common for the Radon?Riesz property to also be referred to as the Kadets?Klee property or property (H). According to Robert Megginson, the letter H does not stand for anything. It was simply referred to as property (H) in a list of properties for normed spaces that starts with (A) and ends with (H). ... Read more