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Elementary Introduction to New Generalized Functions - Colombeau, J.F.
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Colombeau, J.F.:
Elementary Introduction to New Generalized Functions - neues Buch

8, ISBN: 9780080872247

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The author's previous book `New Generalized Functions and Multiplication of Distributions' (North-Holland, 1984) introduced `new generalized functions' in order to explain heuristic computations of Physics and to give a meaning to any finite product of distributions. The aim here is to present these functions in a more direct and elementary way. In Part I, the reader is assumed to be familiar only with the concepts of open and compact subsets of R&eegr;, of C∞ functions of several real var The author's previous book `New Generalized Functions and Multiplication of Distributions' (North-Holland, 1984) introduced `new generalized functions' in order to explain heuristic computations of Physics and to give a meaning to any finite product of distributions. The aim here is to present these functions in a more direct and elementary way. In Part I, the reader is assumed to be familiar only with the concepts of open and compact subsets of R&eegr;, of C∞ functions of several real variables and with some rudiments of integration theory. Part II defines tempered generalized functions, i.e. generalized functions which are, in some sense, increasing at infinity no faster than a polynomial (as well as all their partial derivatives). Part III shows that, in this setting, the partial differential equations have new solutions. The results obtained show that this setting is perfectly adapted to the study of nonlinear partial differential equations, and indicate some new perspectives in this field. Functional Analysis, Mathematics, Elementary Introduction to New Generalized Functions~~ Colombeau, J.F.~~Functional Analysis~~Mathematics~~9780080872247, en, Elementary Introduction to New Generalized Functions, Colombeau, J.F., 9780080872247, North Holland, 08/01/2011, , , , North Holland, 08/01/2011

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Elementary Introduction to New Generalized Functions - G. Karpilovsky
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Elementary Introduction to New Generalized Functions - neues Buch

ISBN: 9780080872247

ID: 9780080872247

The author's previous book `New Generalized Functions and Multiplication of Distributions' (North-Holland, 1984) introduced `new generalized functions' in order to explain heuristic computations of Physics and to give a meaning to any finite product of distributions. The aim here is to present these functions in a more direct and elementary way. In Part I, the reader is assumed to be familiar only with the concepts of open and compact subsets of R, of C functions of several real variables and with some rudiments of integration theory. Part II defines tempered generalized functions, i.e. generalized functions which are, in some sense, increasing at infinity no faster than a polynomial (as well as all their partial derivatives). Part III shows that, in this setting, the partial differential equations have new solutions. The results obtained show that this setting is perfectly adapted to the study of nonlinear partial differential equations, and indicate some new perspectives in this field.; PDF \ G. Karpilovsky; Scientific, Technical and Medical > Mathematics > Calculus & mathematical analysis > Functional anal, Elsevier Science

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Elementary Introduction to New Generalized Functions
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Elementary Introduction to New Generalized Functions - neues Buch

ISBN: 9780080872247

ID: 9780080872247

The author's previous book `New Generalized Functions and Multiplication of Distributions' (North-Holland, 1984) introduced `new generalized functions' in order to explain heuristic computations of Physics and to give a meaning to any finite product of distributions. The aim here is to present these functions in a more direct and elementary way. In Part I, the reader is assumed to be familiar only with the concepts of open and compact subsets of R&eegr;, of C functions of several real variables and with some rudiments of integration theory. Part II defines tempered generalized functions, i.e. generalized functions which are, in some sense, increasing at infinity no faster than a polynomial (as well as all their partial derivatives). Part III shows that, in this setting, the partial differential equations have new solutions. The results obtained show that this setting is perfectly adapted to the study of nonlinear partial differential equations, and indicate some new perspectives in this field. Mathematics and Statistics Media > Ebook > Mathematics and Statistics Mathematics (General) Ebook, North Holland

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Elementary Introduction to New Generalized Functions - J.F. Colombeau
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2011, ISBN: 9780080872247

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