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Hyperbolic Differential Polynomials - pocketboek

2011, ISBN: 9789400995086

[ED: Softcover], [PU: Springer Netherlands Springer, Berlin], Approach your problems from It isn't that they can't see the the right end and begin with the solution. It is that they can't… Meer...

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Chaillou, J.:

Hyperbolic Differential Polynomials - pocketboek

2011, ISBN: 9789400995086

[ED: Softcover], [PU: Springer Netherlands Springer, Berlin], Approach your problems from It isn't that they can't see the the right end and begin with the solution. It is that they can't… Meer...

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Chaillou, J.:
Hyperbolic Differential Polynomials - pocketboek

2011

ISBN: 9789400995086

[ED: Softcover], [PU: Springer Netherlands Springer, Berlin], Approach your problems from It isn't that they can't see the the right end and begin with the solution. It is that they can't… Meer...

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J. Chaillou:
Hyperbolic Differential Polynomials - pocketboek

ISBN: 9789400995086

Approach your problems from It isn't that they can't see the the right end and begin with the solution. It is that they can't see answers. Then, one day, perhaps the problem. you will fin… Meer...

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J. Chaillou:
Hyperbolic Differential Polynomials - pocketboek

2011, ISBN: 9789400995086

and their Singular Perturbations, Softcover reprint of the original 1st ed. 1979, Softcover, Buch, [PU: Springer]

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EAN (ISBN-13): 9789400995086
ISBN (ISBN-10): 9400995083
pocket book
Verschijningsjaar: 2011
Uitgever: Springer

Boek bevindt zich in het datenbestand sinds 2015-04-07T20:24:27+02:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2020-10-07T13:52:51+02:00 (Amsterdam)
ISBN/EAN: 9789400995086

ISBN - alternatieve schrijfwijzen:
94-009-9508-3, 978-94-009-9508-6


Gegevens van de uitgever

Auteur: J. Chaillou
Titel: Mathematics and Its Applications; Hyperbolic Differential Polynomials - and their Singular Perturbations
Uitgeverij: Springer; Springer Netherland
168 Bladzijden
Verschijningsjaar: 2011-10-20
Dordrecht; NL
Gedrukt / Gemaakt in
Gewicht: 0,283 kg
Taal: Engels
82,38 € (DE)
84,69 € (AT)
91,00 CHF (CH)
Not available, publisher indicates OP

BC; Book; Hardcover, Softcover / Mathematik/Analysis; Mathematische Analysis, allgemein; transform theory; measure theory; filtering; measure; distribution; B; Analysis; Analysis; Mathematics and Statistics; BB

I. Generalities.- I.1. Emission Cones.- I.2. The Topological Algebra D?(?).- I.3. The Set U(?) of Polynomial Distributions with Inverse in D?(?).- I.4. Bounded Subsets of U(?) with Bounded Inverse.- I.5. First Consequences of U being Invertible in D?(?)with Bounded Inverse.- 1.6. Remarks.- II. The Semi-algebraic Case. Criterion forUto be Invertible with Bounded Inverse.- II.1. Semi-algebraic Subsets of ?n.- II.2. Polynomial Mappings of ?n into ?m. Theorem of Seidenberg.- II.3. Asymptotic Behavior of Semi-algebraic Subsets of ?2.- II.4. If U is Invertible with Bounded Inverse, then the Union of the V(a) can be Localized.- II.5. Hyperbolicity of A or of $$ \\bigcup\\limits_{a \\in A} {V\\left( a \\right)} $$ the V(a). Criterion for U to be Invertible with Bounded Inverse.- II.6. Differential Polynomials that are a Polynomial Function of a Parameter (? ? ?p).- III. A Sufficient Condition thatUis Invertible with Bounded Inverse. The Cauchy Problem in Hsloc.- III.1. Upper Bounds for |a(?)|?1.- III.2. Laplace Transforms and Supports of Distributions.- III.3. A Sufficient Condition that U is Invertible with Bounded Inverse.- III.4. The Cauchy Problem with Data in Hsloc.- IV. Hyperbolic Hypersurfaces and Polynomials.- IV.0. Preliminary Notations and Definitions.- IV.1. First Properties of 0?-Hyperbolic V(a).- IV.2. First Properties of 0?-Hyperbolic Cones V(am).- IV.3. 0?-Hyperbolicity and ?-Hyperbolicity.- IV.4. Polars with respect to ? ? 0? of 0?-Hyperbolic V(a).- IV.5. Successive Multiplicities of a Series in ?[[X]] with respect to a Polynomial with Roots in ?[[X]]..- IV.6. Relations between V(am?k) and V(am) that follow from Hyperbolicity of V(a).- IV.7. Relations between V(am?k) and the Polars of V(am) Implied by Hyperbolicity of V(a).- IV.8. Functions Rm?k, ? on V(am(k), ?) ? ?n. A Sufficient Condition that V(a) is Hyperbolic.- IV.9. Local Properties of the Functions Rm?k, ?.- IV.10. Real Ordered Sheets of Hyperbolic Cones.- IV.11. Locally Constant Multiplicity on V(am)* ? ?n. A Hyperbolicity Criterion for V(a).- IV.12. n = 3. A Criterion for Hyperbolicity.- IV.13. Hyperbolicity and Strength of Polynomials.- IV.14. The Cauchy Problem.- V. Examples.- V.1. Sets of Homogeneous Polynomials of the Same Degree.- V.2. Sets of Polynomials of the Same Degree.- V.3. Lowering the Degree by One.- V.4. Lowering the Degree by Two.- V.5. An Example with Arbitrary Lowering of Degree.- V.6. Conclusion.- Appendix 1. On a Conjecture of Lars Gårding and Lars Hörmander.- Appendix 2. A Necessary and Sufficient Condition For Hyperbolicity.- Name Index.

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