Analyse harmonique dans les systémes de Tits bornologiques de type affine / Hideya Matsumoto |
Autore | Matsumoto, Hideya |
Pubbl/distr/stampa | Berlin : Springer-Verlag, 1977 |
Descrizione fisica | 218 p. ; 24 cm |
Disciplina | 515.2433 |
Collana | Lecture notes in mathematics, 0075-8434 ; 590 |
Soggetto topico |
Analysis on homogeneous spaces
Spherical functions |
ISBN | 3540082492 |
Classificazione |
AMS 43A85
AMS 43A90 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | fre |
Record Nr. | UNISALENTO-991000677419707536 |
Matsumoto, Hideya | ||
Berlin : Springer-Verlag, 1977 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
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Rational sphere maps / / John P. D'Angelo |
Autore | D'Angelo John P. |
Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
Descrizione fisica | 1 online resource (244 pages) |
Disciplina | 515.53 |
Collana | Progress in Mathematics |
Soggetto topico |
Spherical functions
Euclidean algorithm Funcions esferoïdals Algorismes |
Soggetto genere / forma | Llibres electrònics |
ISBN | 3-030-75809-5 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Intro -- Preface -- Contents -- 1 Complex Euclidean Space -- 1 Generalities -- 2 The Groups Aut(mathbbB1), SU(2), and SU(1,1) -- 3 Automorphisms of the Unit Ball -- 4 Hermitian Forms -- 5 Proper Mappings -- 6 Some Counting -- 7 A GPS for This Book -- 2 Examples and Properties of Rational Sphere Maps -- 1 Definition and Basic Results about Rational Sphere Maps -- 2 Sphere-Ranks and Target-Ranks -- 3 Ranks of Products -- 4 Juxtaposition -- 5 The Tensor Product Operation -- 6 The Restricted Tensor Product Operation -- 7 An Abundance of Rational Sphere Maps -- 8 Some Results in Low Codimension -- 9 A Result in Sufficiently High Codimension -- 10 Homotopy and Target-Rank -- 11 Remarks on Degree Bounds -- 12 Inverse Image of a Point -- 13 The General Rational Sphere Map -- 14 A Detailed Rational Example -- 15 An Example in Source Dimension 3 -- 3 Monomial Sphere Maps -- 1 Properties of Monomial Sphere Maps -- 2 Some Remarkable Monomial Sphere Maps -- 3 More on These Remarkable Polynomials -- 4 Cyclic Groups and Monomial Sphere Maps -- 5 Circulant Matrices -- 6 The Pell Equation -- 7 Elaboration of the Method for Producing Sharp Polynomials -- 8 Additional Tricks -- 9 Maps with Source Dimension 2 and Target Dimension 4 -- 10 Target-Ranks for Monomial Sphere Maps -- 4 Monomial Sphere Maps and Linear Programming -- 1 Underdetermined Linear Systems -- 2 An Optimization Problem for Monomial Sphere Maps -- 3 Two Detailed Examples in Source Dimension 2 -- 4 Results of Coding and Consequences in Source Dimension 2 -- 5 Monomial Sphere Maps in Higher Dimension -- 6 Sparseness in Source Dimension 2 -- 7 Sparseness in Source Dimension at Least Three -- 8 The Optimal Polynomials in Degrees 9 and 11 -- 9 Coding -- 5 Groups Associated with Holomorphic Mappings -- 1 Five Groups -- 2 Examples of the Five Groups -- 3 Hermitian-Invariant Groups for Rational Sphere Maps.
4 Additional Examples -- 5 Behavior of Γf Under Various Constructions -- 6 Examples Involving the Symmetric Group -- 7 The Symmetric Group -- 8 Groups Arising from Rational Sphere Maps -- 9 Different Representations -- 10 Additional Results -- 11 A Criterion for Being a Polynomial -- 6 Elementary Complex and CR Geometry -- 1 Subvarieties of the Unit Ball -- 2 The Unbounded Realization of the Unit Sphere -- 3 Geometry of Real Hypersurfaces -- 4 CR Functions and Mappings -- 5 Strong Pseudoconvexity of the Unit Sphere -- 6 Comparison with the Real Case -- 7 Varieties Associated with Rational Sphere Maps -- 8 Examples of Xf -- 9 A Return to the Definition of Rational Sphere Map -- 7 Geometric Properties of Rational Sphere Maps -- 1 Volumes -- 2 A Geometric Result in One Dimension -- 3 An Integral Inequality -- 4 Volume Inequalities for Polynomial and Rational Sphere Maps -- 5 Comparison with a Real Variable Integral Inequality -- 8 List of Open Problems -- Appendix Bibliography -- -- Index. |
Record Nr. | UNINA-9910492144303321 |
D'Angelo John P. | ||
Cham, Switzerland : , : Springer, , [2021] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Rational sphere maps / / John P. D'Angelo |
Autore | D'Angelo John P. |
Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
Descrizione fisica | 1 online resource (244 pages) |
Disciplina | 515.53 |
Collana | Progress in Mathematics |
Soggetto topico |
Spherical functions
Euclidean algorithm Funcions esferoïdals Algorismes |
Soggetto genere / forma | Llibres electrònics |
ISBN | 3-030-75809-5 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Intro -- Preface -- Contents -- 1 Complex Euclidean Space -- 1 Generalities -- 2 The Groups Aut(mathbbB1), SU(2), and SU(1,1) -- 3 Automorphisms of the Unit Ball -- 4 Hermitian Forms -- 5 Proper Mappings -- 6 Some Counting -- 7 A GPS for This Book -- 2 Examples and Properties of Rational Sphere Maps -- 1 Definition and Basic Results about Rational Sphere Maps -- 2 Sphere-Ranks and Target-Ranks -- 3 Ranks of Products -- 4 Juxtaposition -- 5 The Tensor Product Operation -- 6 The Restricted Tensor Product Operation -- 7 An Abundance of Rational Sphere Maps -- 8 Some Results in Low Codimension -- 9 A Result in Sufficiently High Codimension -- 10 Homotopy and Target-Rank -- 11 Remarks on Degree Bounds -- 12 Inverse Image of a Point -- 13 The General Rational Sphere Map -- 14 A Detailed Rational Example -- 15 An Example in Source Dimension 3 -- 3 Monomial Sphere Maps -- 1 Properties of Monomial Sphere Maps -- 2 Some Remarkable Monomial Sphere Maps -- 3 More on These Remarkable Polynomials -- 4 Cyclic Groups and Monomial Sphere Maps -- 5 Circulant Matrices -- 6 The Pell Equation -- 7 Elaboration of the Method for Producing Sharp Polynomials -- 8 Additional Tricks -- 9 Maps with Source Dimension 2 and Target Dimension 4 -- 10 Target-Ranks for Monomial Sphere Maps -- 4 Monomial Sphere Maps and Linear Programming -- 1 Underdetermined Linear Systems -- 2 An Optimization Problem for Monomial Sphere Maps -- 3 Two Detailed Examples in Source Dimension 2 -- 4 Results of Coding and Consequences in Source Dimension 2 -- 5 Monomial Sphere Maps in Higher Dimension -- 6 Sparseness in Source Dimension 2 -- 7 Sparseness in Source Dimension at Least Three -- 8 The Optimal Polynomials in Degrees 9 and 11 -- 9 Coding -- 5 Groups Associated with Holomorphic Mappings -- 1 Five Groups -- 2 Examples of the Five Groups -- 3 Hermitian-Invariant Groups for Rational Sphere Maps.
4 Additional Examples -- 5 Behavior of Γf Under Various Constructions -- 6 Examples Involving the Symmetric Group -- 7 The Symmetric Group -- 8 Groups Arising from Rational Sphere Maps -- 9 Different Representations -- 10 Additional Results -- 11 A Criterion for Being a Polynomial -- 6 Elementary Complex and CR Geometry -- 1 Subvarieties of the Unit Ball -- 2 The Unbounded Realization of the Unit Sphere -- 3 Geometry of Real Hypersurfaces -- 4 CR Functions and Mappings -- 5 Strong Pseudoconvexity of the Unit Sphere -- 6 Comparison with the Real Case -- 7 Varieties Associated with Rational Sphere Maps -- 8 Examples of Xf -- 9 A Return to the Definition of Rational Sphere Map -- 7 Geometric Properties of Rational Sphere Maps -- 1 Volumes -- 2 A Geometric Result in One Dimension -- 3 An Integral Inequality -- 4 Volume Inequalities for Polynomial and Rational Sphere Maps -- 5 Comparison with a Real Variable Integral Inequality -- 8 List of Open Problems -- Appendix Bibliography -- -- Index. |
Record Nr. | UNISA-996466408403316 |
D'Angelo John P. | ||
Cham, Switzerland : , : Springer, , [2021] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. di Salerno | ||
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Spherical functions of mathematical geosciences : a scalar, vectorial, and tensorial setup / / W. Freeden, M. Schreiner |
Autore | Freeden W (Willi) |
Edizione | [Second edition.] |
Pubbl/distr/stampa | Berlin, Germany : , : Birkhäuser, , 2022 |
Descrizione fisica | 729 pages; ; cm |
Collana | Geosystems mathematics |
Soggetto topico | Spherical functions |
ISBN | 3-662-65692-2 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910617303503321 |
Freeden W (Willi) | ||
Berlin, Germany : , : Birkhäuser, , 2022 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Spherical harmonics and approximations on the unit sphere : an introduction / / Kendall Atkinson, Weimin Han |
Autore | Atkinson Kendall E |
Edizione | [1st ed. 2012.] |
Pubbl/distr/stampa | Berlin ; ; New York, : Springer, c2012 |
Descrizione fisica | 1 online resource (IX, 244 p. 19 illus., 11 illus. in color.) |
Disciplina | 515/.53 |
Altri autori (Persone) | HanWeimin |
Collana | Lecture notes in mathematics |
Soggetto topico |
Spherical harmonics
Spherical functions |
ISBN | 3-642-25983-9 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 1 Preliminaries -- 2 Spherical Harmonics -- 3 Differentiation and Integration over the Sphere -- 4 Approximation Theory -- 5 Numerical Quadrature -- 6 Applications: Spectral Methods. |
Record Nr. | UNINA-9910483618103321 |
Atkinson Kendall E | ||
Berlin ; ; New York, : Springer, c2012 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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The theory of ultraspherical multipliers / / W. C. Connett and A. L. Schwartz |
Autore | Connett William C (William Carroll), <1939-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1977 |
Descrizione fisica | 1 online resource (99 p.) |
Disciplina | 510.8 |
Collana | MEMOIRS of the American Mathematical Society |
Soggetto topico |
Multipliers (Mathematical analysis)
Spherical functions Sobolev spaces Besov spaces |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-0866-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Table of Contents""; ""Â0. Introduction""; ""I. The interpolation of ""local"" spaces""; ""Â1. Notations and definitions""; ""Â2. Stability under complex interpolation""; ""Â3. Interpolation of multiplier theorems""; ""II. Families of Banach spaces""; ""Â4. Taibelson spaces and spaces of Bessel potentials""; ""Â5. The properties of localizations of spaces of Lipschitz type""; ""Â6. Spaces of sequences""; ""III. The theory of ultraspherical multipliers""; ""Â7. The ultraspherical convolution""; ""Â8. A Littlewood-Paley Theory for ultraspherical series""
""Â9. A full range multiplier Theorem for q = 2""""Â10. The interpolation of ultraspherical multiplier theorems""; ""Â11. Some of these results are best possible""; ""IV. Applications to other expansions""; ""Â12. Multiplier theorems for Hankel transforms and spaces of radial functions""; ""Â13. Multipliers for spherical harmonic expansions""; ""Â14. Multipliers for Jacob! expansions""; ""Figures""; ""Table of notation""; ""Bibliography"" |
Record Nr. | UNINA-9910480041603321 |
Connett William C (William Carroll), <1939-> | ||
Providence, Rhode Island : , : American Mathematical Society, , 1977 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
The theory of ultraspherical multipliers / / W. C. Connett and A. L. Schwartz |
Autore | Connett William C (William Carroll), <1939-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1977 |
Descrizione fisica | 1 online resource (99 p.) |
Disciplina | 510.8 |
Collana | MEMOIRS of the American Mathematical Society |
Soggetto topico |
Multipliers (Mathematical analysis)
Spherical functions Sobolev spaces Besov spaces |
ISBN | 1-4704-0866-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Table of Contents""; ""Â0. Introduction""; ""I. The interpolation of ""local"" spaces""; ""Â1. Notations and definitions""; ""Â2. Stability under complex interpolation""; ""Â3. Interpolation of multiplier theorems""; ""II. Families of Banach spaces""; ""Â4. Taibelson spaces and spaces of Bessel potentials""; ""Â5. The properties of localizations of spaces of Lipschitz type""; ""Â6. Spaces of sequences""; ""III. The theory of ultraspherical multipliers""; ""Â7. The ultraspherical convolution""; ""Â8. A Littlewood-Paley Theory for ultraspherical series""
""Â9. A full range multiplier Theorem for q = 2""""Â10. The interpolation of ultraspherical multiplier theorems""; ""Â11. Some of these results are best possible""; ""IV. Applications to other expansions""; ""Â12. Multiplier theorems for Hankel transforms and spaces of radial functions""; ""Â13. Multipliers for spherical harmonic expansions""; ""Â14. Multipliers for Jacob! expansions""; ""Figures""; ""Table of notation""; ""Bibliography"" |
Record Nr. | UNINA-9910788609103321 |
Connett William C (William Carroll), <1939-> | ||
Providence, Rhode Island : , : American Mathematical Society, , 1977 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
The theory of ultraspherical multipliers / / W. C. Connett and A. L. Schwartz |
Autore | Connett William C (William Carroll), <1939-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1977 |
Descrizione fisica | 1 online resource (99 p.) |
Disciplina | 510.8 |
Collana | MEMOIRS of the American Mathematical Society |
Soggetto topico |
Multipliers (Mathematical analysis)
Spherical functions Sobolev spaces Besov spaces |
ISBN | 1-4704-0866-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Table of Contents""; ""Â0. Introduction""; ""I. The interpolation of ""local"" spaces""; ""Â1. Notations and definitions""; ""Â2. Stability under complex interpolation""; ""Â3. Interpolation of multiplier theorems""; ""II. Families of Banach spaces""; ""Â4. Taibelson spaces and spaces of Bessel potentials""; ""Â5. The properties of localizations of spaces of Lipschitz type""; ""Â6. Spaces of sequences""; ""III. The theory of ultraspherical multipliers""; ""Â7. The ultraspherical convolution""; ""Â8. A Littlewood-Paley Theory for ultraspherical series""
""Â9. A full range multiplier Theorem for q = 2""""Â10. The interpolation of ultraspherical multiplier theorems""; ""Â11. Some of these results are best possible""; ""IV. Applications to other expansions""; ""Â12. Multiplier theorems for Hankel transforms and spaces of radial functions""; ""Â13. Multipliers for spherical harmonic expansions""; ""Â14. Multipliers for Jacob! expansions""; ""Figures""; ""Table of notation""; ""Bibliography"" |
Record Nr. | UNINA-9910811901203321 |
Connett William C (William Carroll), <1939-> | ||
Providence, Rhode Island : , : American Mathematical Society, , 1977 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|