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1. / Audrey Terras
| 1. / Audrey Terras |
| Autore | Terras, Audrey |
| Pubbl/distr/stampa | New York, : Springer-Verlag, 1985 |
| Descrizione fisica | xv, 341 p. : ill. ; 24 cm |
| Soggetto topico |
11-XX - Number theory [MSC 2020]
43A85 - Analysis on homogeneous spaces [MSC 2020] 43-XX - Abstract harmonic analysis [MSC 2020] 11F70 - Representation-theoretic methods; automorphic representations over local and global fields [MSC 2020] 11F03 - Modular and automorphic functions [MSC 2020] 11F67 - Special values of automorphic $L$-series, periods of automorphic forms, cohomology, modular symbols [MSC 2020] 33C80 - Connections of hypergeometric functions with groups and algebras, and related topics [MSC 2020] 22E30 - Analysis on real and complex Lie groups [MSC 2020] 58C40 - Spectral theory; eigenvalue problems on manifolds [MSC 2020] 11M35 - Hurwitz and Lerch zeta functions [MSC 2020] |
| Soggetto non controllato |
Analysis
Boundary Element Methods Coordinate Transformations Diophantine Equations Distribution Equations Fourier analysis Fourier series Generalized functions Harmonic analysis Integrals Medicine Metric spaces Spaces Zeta functions |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0268774 |
Terras, Audrey
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| New York, : Springer-Verlag, 1985 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
1. / Audrey Terras
| 1. / Audrey Terras |
| Autore | Terras, Audrey |
| Pubbl/distr/stampa | New York, : Springer-Verlag, 1985 |
| Descrizione fisica | xv, 341 p. : ill. ; 24 cm |
| Soggetto topico |
11-XX - Number theory [MSC 2020]
11F03 - Modular and automorphic functions [MSC 2020] 11F67 - Special values of automorphic $L$-series, periods of automorphic forms, cohomology, modular symbols [MSC 2020] 11F70 - Representation-theoretic methods; automorphic representations over local and global fields [MSC 2020] 11M35 - Hurwitz and Lerch zeta functions [MSC 2020] 22E30 - Analysis on real and complex Lie groups [MSC 2020] 33C80 - Connections of hypergeometric functions with groups and algebras, and related topics [MSC 2020] 43-XX - Abstract harmonic analysis [MSC 2020] 43A85 - Analysis on homogeneous spaces [MSC 2020] 58C40 - Spectral theory; eigenvalue problems on manifolds [MSC 2020] |
| Soggetto non controllato |
Analysis
Boundary Element Methods Coordinate Transformations Diophantine Equations Distribution Equations Fourier Analysis Fourier series Generalized functions Harmonic analysis Integrals Medicine Metric spaces Spaces Zeta functions |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Since its beginnings with Fourier (and as far back as the Babylonian astron omers), harmonic analysis has been developed with the goal of unraveling the mysteries of the physical world of quasars, brain tumors, and so forth, as well as the mysteries of the nonphysical, but no less concrete, world of prime numbers, diophantine equations, and zeta functions. Quoting Courant and Hilbert, in the preface to the first German edition of Methods of Mathematical Physics: "Recent trends and fashions have, however, weakened the connection between mathematics and physics. " Such trends are still in evidence, harmful though they may be. My main motivation in writing these notes has been a desire to counteract this tendency towards specialization and describe appli cations of harmonic analysis in such diverse areas as number theory (which happens to be my specialty), statistics, medicine, geophysics, and quantum physics. I remember being quite surprised to learn that the subject is useful. My graduate eduation was that of the 1960s. The standard mathematics graduate course proceeded from Definition 1. 1. 1 to Corollary 14. 5. 59, with no room in between for applications, motivation, history, or references to related work. My aim has been to write a set of notes for a very different sort of course. |
| Record Nr. | UNICAMPANIA-VAN00268774 |
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Terras, Audrey
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| New York, : Springer-Verlag, 1985 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
1. / Gottfried Köthe ; Translated by D. J. H. Garling
| 1. / Gottfried Köthe ; Translated by D. J. H. Garling |
| Autore | Köthe, Gottfried |
| Edizione | [2. printing] |
| Pubbl/distr/stampa | Berlin, : Springer, 1983 |
| Descrizione fisica | xvi, 456 p. : ill. ; 24 cm |
| Soggetto topico | 46-XX - Functional analysis [MSC 2020] |
| Soggetto non controllato |
Algebra
Banach spaces Compactness Convergence Convexity Holomorphic Functions Linear algebra Metric spaces Natural Proofs Smooth functions Spaces Topological vector spaces Vector |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0263072 |
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Köthe, Gottfried
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| Berlin, : Springer, 1983 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
1. / Gottfried Köthe ; Translated by D. J. H. Garling
| 1. / Gottfried Köthe ; Translated by D. J. H. Garling |
| Autore | Köthe, Gottfried |
| Edizione | [2. printing] |
| Pubbl/distr/stampa | Berlin, : Springer, 1983 |
| Descrizione fisica | xvi, 456 p. : ill. ; 24 cm |
| Soggetto topico | 46-XX - Functional analysis [MSC 2020] |
| Soggetto non controllato |
Algebra
Banach Spaces Compactness Convergence Convexity Holomorphic Functions Linear algebra Metric spaces Natural Proofs Smooth functions Spaces Topological vector spaces Vector |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | It is the author's aim to give a systematic account of the most im portant ideas, methods and results of the theory of topological vector spaces. After a rapid development during the last 15 years, this theory has now achieved a form which makes such an account seem both possible and desirable. This present first volume begins with the fundamental ideas of general topology. These are of crucial importance for the theory that follows, and so it seems necessary to give a concise account, giving complete proofs. This also has the advantage that the only preliminary knowledge required for reading this book is of classical analysis and set theory. In the second chapter, infinite dimensional linear algebra is considered in comparative detail. As a result, the concept of dual pair and linear topologies on vector spaces over arbitrary fields are intro duced in a natural way. It appears to the author to be of interest to follow the theory of these linearly topologised spaces quite far, since this theory can be developed in a way which closely resembles the theory of locally convex spaces. It should however be stressed that this part of chapter two is not needed for the comprehension of the later chapters. Chapter three is concerned with real and complex topological vector spaces. The classical results of Banach's theory are given here, as are fundamental results about convex sets in infinite dimensional spaces. |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00263072 |
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Köthe, Gottfried
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| Berlin, : Springer, 1983 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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2: Polyedres et Polytopes Convexes / Jacques Bair, René Fourneau
| 2: Polyedres et Polytopes Convexes / Jacques Bair, René Fourneau |
| Autore | Bair, Jacques |
| Pubbl/distr/stampa | Berlin, : Springer, 1980 |
| Descrizione fisica | vii, 283 p. ; 24 cm |
| Altri autori (Persone) | Fourneau, René |
| Soggetto topico |
52-XX - Convex and discrete geometry [MSC 2020]
52Bxx - Polytopes and polyhedra [MSC 2020] |
| Soggetto non controllato |
Polyhedron
Spaces convex set polytope |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | fre |
| Record Nr. | UNICAMPANIA-VAN0261554 |
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Bair, Jacques
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| Berlin, : Springer, 1980 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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2: Polyedres et Polytopes Convexes / Jacques Bair, René Fourneau
| 2: Polyedres et Polytopes Convexes / Jacques Bair, René Fourneau |
| Autore | Bair, Jacques |
| Pubbl/distr/stampa | Berlin, : Springer, 1980 |
| Descrizione fisica | vii, 283 p. ; 24 cm |
| Altri autori (Persone) | Fourneau, René |
| Soggetto topico |
52-XX - Convex and discrete geometry [MSC 2020]
52Bxx - Polytopes and polyhedra [MSC 2020] |
| Soggetto non controllato |
Polyhedron
Spaces convex set polytope |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | fre |
| Record Nr. | UNICAMPANIA-VAN00261554 |
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Bair, Jacques
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| Berlin, : Springer, 1980 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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4.: Integration and spectral theory, harmonic analysis, the garden of modular delights / Roger Godement ; translated by Urmie Ray
| 4.: Integration and spectral theory, harmonic analysis, the garden of modular delights / Roger Godement ; translated by Urmie Ray |
| Autore | Godement, Roger <1921-2016> |
| Pubbl/distr/stampa | Cham, : Springer, 2015 |
| Descrizione fisica | xi, 527 p. : ill. ; 24 cm |
| Soggetto topico |
46-XX - Functional analysis [MSC 2020]
28-XX - Measure and integration [MSC 2020] 43-XX - Abstract harmonic analysis [MSC 2020] 11Fxx - Discontinuous groups and automorphic forms [MSC 2020] |
| Soggetto non controllato |
Compact level spaces
Elliptic functions Integrable functions Modular functions Spaces Spectral Theory Zeta functions |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0113463 |
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Godement, Roger <1921-2016>
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| Cham, : Springer, 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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4: Integration and spectral theory, harmonic analysis, the garden of modular delights / oger Godement ; ranslated by Urmie Ray.
| 4: Integration and spectral theory, harmonic analysis, the garden of modular delights / oger Godement ; ranslated by Urmie Ray. |
| Autore | Godement, Roger J. |
| Pubbl/distr/stampa | ham, : pringer, , 015. |
| Descrizione fisica | i, 527 p. : ll. ; 4 cm |
| Soggetto topico |
11Fxx - Discontinuous groups and automorphic forms [MSC 2020]
28-XX - Measure and integration [MSC 2020] 43-XX - Abstract harmonic analysis [MSC 2020] 46-XX - Functional analysis [MSC 2020] |
| Soggetto non controllato |
Compact level spaces
Elliptic functions Integrable functions Modular functions Spaces Spectral theory Zeta functions |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Analysis Volume IV introduces the reader to functional analysis (integration, Hilbert spaces, harmonic analysis in group theory) and to the methods of the theory of modular functions (theta and L series, elliptic functions, use of the Lie algebra of SL2). As in volumes I to III, the inimitable style of the author is recognizable here too, not only because of his refusal to write in the compact style used nowadays in many textbooks. The first part (Integration), a wise combination of mathematics said to be `modern' and `classical', is universally useful whereas the second part leads the reader towards a very active and specialized field of research, with possibly broad generalizations. |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00113463 |
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Godement, Roger J.
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| ham, : pringer, , 015. | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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A Hilbert space problem book / Paul R. Halmos
| A Hilbert space problem book / Paul R. Halmos |
| Autore | Halmos, Paul R. |
| Edizione | [2. ed. rev. and enl] |
| Pubbl/distr/stampa | New York, : Springer-Verlag, 1982 |
| Descrizione fisica | XVII, 369 p. ; 24 cm |
| Soggetto topico |
46-XX - Functional analysis [MSC 2020]
00A07 - Problem books [MSC 2020] 46Cxx - Inner product spaces and their generalizations, Hilbert spaces [MSC 2020] |
| Soggetto non controllato |
Analytic functions
Compact Operators Compactness Convergence Convexity Eigenvalue Hilbert Space Integration Maximum Measure Metric spaces Minimum Operators Spaces |
| ISBN | 03-87906-85-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0036101 |
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Halmos, Paul R.
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| New York, : Springer-Verlag, 1982 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
A Hilbert space problem book / Paul R. Halmos
| A Hilbert space problem book / Paul R. Halmos |
| Autore | Halmos, Paul R. |
| Edizione | [2. ed. rev. and enl] |
| Pubbl/distr/stampa | New York, : Springer-Verlag, 1982 |
| Descrizione fisica | xvii, 369 p. ; 24 cm |
| Soggetto topico |
46-XX - Functional analysis [MSC 2020]
00A07 - Problem books [MSC 2020] 46Cxx - Inner product spaces and their generalizations, Hilbert spaces [MSC 2020] |
| Soggetto non controllato |
Analytic functions
Compact Operators Compactness Convergence Convexity Eigenvalue Hilbert Space Integration Maximum Measure Metric spaces Minimum Operators Spaces |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0268464 |
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Halmos, Paul R.
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| New York, : Springer-Verlag, 1982 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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