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Analyse harmonique dans les systémes de Tits bornologiques de type affine / Hideya Matsumoto
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
Opac: Controlla la disponibilità qui
Rational sphere maps / / John P. D'Angelo
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
Opac: Controlla la disponibilità qui
Rational sphere maps / / John P. D'Angelo
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
Opac: Controlla la disponibilità qui
Spherical functions of mathematical geosciences : a scalar, vectorial, and tensorial setup / / W. Freeden, M. Schreiner
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
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
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
Opac: Controlla la disponibilità qui
The theory of ultraspherical multipliers / / W. C. Connett and A. L. Schwartz
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
Opac: Controlla la disponibilità qui
The theory of ultraspherical multipliers / / W. C. Connett and A. L. Schwartz
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
Opac: Controlla la disponibilità qui