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[null,"1.","Record Nr.",null,"UNICAMPANIASUN0071341"]
[null,null,"Autore",null,"Montgomery, Douglas C."]
[null,null,"Titolo",null,"Progettazione e analisi degli esperimenti / Douglas C. Montgomery ; edizione italiana a cura di Alberto Lombardo, Grazia Vicario, Raffaello Levi"]
[null,null,"Pubbl/distr/stampa",null,"Milano [etc.] : McGraw-Hill, 2005"]
[null,null,"ISBN",null,"88-386-6179-0"]
[null,null,"Descrizione fisica",null,"XII, 753 p. ; 25 cm."]
[null,null,"Lingua di pubblicazione",null,"Italiano"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,"2.","Record Nr.",null,"UNINA9910788961403321"]
[null,null,"Autore",null,"Lee Tuo Yeong <1967->"]
[null,null,"Titolo",null,"Henstock-Kurzweil integration on euclidean spaces [[electronic resource] /] / Lee Tuo Yeong"]
[null,null,"Pubbl/distr/stampa",null,"Singapore ; ; Hackensack, N.J., : World Scientific, c2011"]
[null,null,"ISBN",null,"1-283-23477-7"]
[{"$nulls":4},"9786613234773"]
[{"$nulls":4},"981-4324-59-0"]
[null,null,"Descrizione fisica",null,"1 online resource (325 p.)"]
[null,null,"Collana",null,"Series in real analysis ; ; v. 12"]
[null,null,"Classificazione",null,"SK 430"]
[{"$nulls":4},"SK 620"]
[null,null,"Disciplina",null,"515.43"]
[null,null,"Soggetti",null,"Henstock-Kurzweil integral"]
[{"$nulls":4},"Lebesgue integral"]
[{"$nulls":4},"Calculus, Integral"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Description based upon print version of record."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and indexes."]
[null,null,"Nota di contenuto",null,"Preface; Contents; 1. The one-dimensional Henstock-Kurzweil integral; 1.1 Introduction and Cousin's Lemma; 1.2 Definition of the Henstock-Kurzweil integral; 1.3 Simple properties; 1.4 Saks-Henstock Lemma; 1.5 Notes and Remarks; 2. The multiple Henstock-Kurzweil integral; 2.1 Preliminaries; 2.2 The Henstock-Kurzweil integral; 2.3 Simple properties; 2.4 Saks-Henstock Lemma; 2.5 Fubini's Theorem; 2.6 Notes and Remarks; 3. Lebesgue integrable functions; 3.1 Introduction; 3.2 Some convergence theorems for Lebesgue integrals; 3.3 μm-measurable sets; 3.4 A characterization of μm-measurable sets"]
[{"$nulls":4},"3.5 μm-measurable functions3.6 Vitali Covering Theorem; 3.7 Further properties of Lebesgue integrable functions; 3.8 The Lp spaces; 3.9 Lebesgue's criterion for Riemann integrability; 3.10 Some characterizations of Lebesgue integrable functions; 3.11 Some results concerning one-dimensional Lebesgue integral; 3.12 Notes and Remarks; 4. Further properties of Henstock-Kurzweil integrable functions; 4.1 A necessary condition for Henstock-Kurzweil integrability; 4.2 A result of Kurzweil and Jarn ́ık; 4.3 Some necessary and su cient conditions for Henstock- Kurzweil integrability"]
[{"$nulls":4},"4.4 Harnack extension for one-dimensional Henstock-Kurzweil integrals4.5 Other results concerning one-dimensional Henstock- Kurzweil integral; 4.6 Notes and Remarks; 5. The Henstock variational "]
[{"$nulls":4},"measure; 5.1 Lebesgue outer measure; 5.2 Basic properties of the Henstock variational measure; 5.3 Another characterization of Lebesgue integrable functions; 5.4 A result of Kurzweil and Jarn ́ık revisited; 5.5 A measure-theoretic characterization of the Henstock- Kurzweil integral; 5.6 Product variational measures; 5.7 Notes and Remarks; 6. Multipliers for the Henstock-Kurzweil integral"]
[{"$nulls":4},"6.1 One-dimensional integration by parts6.2 On functions of bounded variation in the sense of Vitali; 6.3 The m-dimensional Riemann-Stieltjes integral; 6.4 A multiple integration by parts for the Henstock-Kurzweil integral; 6.5 Kurzweil's multiple integration by parts formula for the Henstock-Kurzweil integral; 6.6 Riesz Representation Theorems; 6.7 Characterization of multipliers for the Henstock-Kurzweil integral; 6.8 A Banach-Steinhaus Theorem for the space of Henstock- Kurzweil integrable functions; 6.9 Notes and Remarks; 7. Some selected topics in trigonometric series"]
[{"$nulls":4},"7.1 A generalized Dirichlet test7.2 Fourier series; 7.3 Some examples of Fourier series; 7.4 Some Lebesgue integrability theorems for trigonometric series; 7.5 Boas' results; 7.6 On a result of Hardy and Littlewood concerning Fourier series; 7.7 Notes and Remarks; 8. Some applications of the Henstock-Kurzweil integral to double trigonometric series; 8.1 Regularly convergent double series; 8.2 Double Fourier series; 8.3 Some examples of double Fourier series; 8.4 A Lebesgue integrability theorem for double cosine series; 8.5 A Lebesgue integrability theorem for double sine series"]
[{"$nulls":4},"8.6 A convergence theorem for Henstock-Kurzweil integrals"]
[null,null,null,"Sommario/riassunto","The Henstock-Kurzweil integral, which is also known as the generalized Riemann integral, arose from a slight modification of the classical Riemann integral more than 50 years ago. This relatively new integral is known to be equivalent to the classical Per"]