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1 / R. E. Edwards
1 / R. E. Edwards
Autore Edwards, Robert E.
Edizione [2. ed]
Pubbl/distr/stampa New York, : Springer, 1979
Descrizione fisica xii, 228 p. ; 24 cm
Soggetto topico 42-XX - Harmonic analysis on Euclidean spaces [MSC 2020]
43-XX - Abstract harmonic analysis [MSC 2020]
60G05 - Foundations of stochastic processes [MSC 2020]
42A20 - Convergence and absolute convergence of Fourier and trigonometric series [MSC 2020]
42A24 - Summability and absolute summability of Fourier and trigonometric series [MSC 2020]
42A85 - Convolution, factorization for one variable harmonic analysis [MSC 2020]
Soggetto non controllato Algebra
Approximation
Calculus
Convolution
Finite
Fourier
Functions
Graphs
Identity
Invariants
Lemma
Morphism
Proofs
Series
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNICAMPANIA-VAN0268267
Edwards, Robert E.  
New York, : Springer, 1979
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
Opac: Controlla la disponibilità qui
1 / R. E. Edwards
1 / R. E. Edwards
Autore Edwards, Robert E.
Edizione [2. ed]
Pubbl/distr/stampa New York, : Springer, 1979
Descrizione fisica xii, 228 p. ; 24 cm
Soggetto topico 42-XX - Harmonic analysis on Euclidean spaces [MSC 2020]
42A20 - Convergence and absolute convergence of Fourier and trigonometric series [MSC 2020]
42A24 - Summability and absolute summability of Fourier and trigonometric series [MSC 2020]
42A85 - Convolution, factorization for one variable harmonic analysis [MSC 2020]
43-XX - Abstract harmonic analysis [MSC 2020]
60G05 - Foundations of stochastic processes [MSC 2020]
Soggetto non controllato Algebra
Approximation
Calculus
Convolution
Finite
Fourier
Functions
Graphs
Identity
Invariants
Lemma
Morphism
Proofs
Series
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto The principal aim in writing this book has been to provide an intro­ duction, barely more, to some aspects of Fourier series and related topics in which a liberal use is made of modem techniques and which guides the reader toward some of the problems of current interest in harmonic analysis generally. The use of modem concepts and techniques is, in fact, as wide­ spread as is deemed to be compatible with the desire that the book shall be useful to senior undergraduates and beginning graduate students, for whom it may perhaps serve as preparation for Rudin's Harmonic Analysis on Groups and the promised second volume of Hewitt and Ross's Abstract Harmonic Analysis. The emphasis on modem techniques and outlook has affected not only the type of arguments favored, but also to a considerable extent the choice of material. Above all, it has led to a minimal treatment of pointwise con­ vergence and summability: as is argued in Chapter 1, Fourier series are not necessarily seen in their best ormost natural role through pointwise-tinted spectacles. Moreover, the famous treatises by Zygmund and by Baryon trigonometric series cover these aspects in great detail, wl:tile leaving some gaps in the presentation of the modern viewpoint; the same is true of the more elementary account given by Tolstov. Likewise, and again for reasons discussed in Chapter 1, trigonometric series in general form no part of the program attempted.
Record Nr. UNICAMPANIA-VAN00268267
Edwards, Robert E.  
New York, : Springer, 1979
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
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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  
New York, : Springer-Verlag, 1985
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
Opac: Controlla la disponibilità qui
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
Terras, Audrey  
New York, : Springer-Verlag, 1985
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
Opac: Controlla la disponibilità qui
1.: Convergence, elementary functions / Roger Godement ; Philip Spain translator
1.: Convergence, elementary functions / Roger Godement ; Philip Spain translator
Autore Godement, Roger <1921-2016>
Pubbl/distr/stampa Berlin, : Springer, 2004
Descrizione fisica xxi, 430 p. ; 24 cm
Soggetto topico 26-XX - Real functions [MSC 2020]
31-XX - Potential theory [MSC 2020]
42-XX - Harmonic analysis on Euclidean spaces [MSC 2020]
28-XX - Measure and integration [MSC 2020]
26A03 - Foundations: limits and generalizations, elementary topology of the line [MSC 2020]
54-XX - General topology [MSC 2020]
30-XX - Functions of a complex variable [MSC 2020]
43-XX - Abstract harmonic analysis [MSC 2020]
41-XX - Approximations and expansions [MSC 2020]
26A06 - One-variable calculus [MSC 2020]
26A15 - Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable [MSC 2020]
26A24 - Differentiation (real functions of one variable): general theory, generalized derivatives, mean-value theorems [MSC 2020]
26A42 - Integrals of Riemann, Stieltjes and Lebesgue type [MSC 2020]
26B05 - Continuity and differentiation questions [MSC 2020]
26A12 - Rate of growth of functions, orders of infinity, slowly varying functions [MSC 2020]
ISBN 978-35-400-5923-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Titolo uniforme
Record Nr. UNICAMPANIA-VAN0045566
Godement, Roger <1921-2016>  
Berlin, : Springer, 2004
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
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1.: General survey, classical aspects / V. P. Havin, N. K. Nikolski (Eds.)
1.: General survey, classical aspects / V. P. Havin, N. K. Nikolski (Eds.)
Pubbl/distr/stampa Berlin, : Springer, 1991
Descrizione fisica VI, 268 p. ; 24 cm.
Soggetto topico 42-XX - Harmonic analysis on Euclidean spaces [MSC 2020]
43-XX - Abstract harmonic analysis [MSC 2020]
00B15 - Collections of articles of miscellaneous specific interest [MSC 2020]
ISBN 35-401-8180-6
8-3-642-05739-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNICAMPANIA-SUN0055569
Berlin, : Springer, 1991
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
Opac: Controlla la disponibilità qui
1.: General survey, classical aspects / V. P. Havin, N. K. Nikolski (Eds.)
1.: General survey, classical aspects / V. P. Havin, N. K. Nikolski (Eds.)
Pubbl/distr/stampa Berlin, : Springer, 1991
Descrizione fisica VI, 268 p. ; 24 cm
Soggetto topico 42-XX - Harmonic analysis on Euclidean spaces [MSC 2020]
43-XX - Abstract harmonic analysis [MSC 2020]
00B15 - Collections of articles of miscellaneous specific interest [MSC 2020]
ISBN 35-401-8180-6
978-36-420-5739-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNICAMPANIA-VAN0055569
Berlin, : Springer, 1991
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
Opac: Controlla la disponibilità qui
1: Convergence, elementary functions / oger Godement ; hilip Spain translator
1: Convergence, elementary functions / oger Godement ; hilip Spain translator
Autore Godement, Roger J.
Pubbl/distr/stampa erlin, : pringer, , 004.
Descrizione fisica xi, 430 p. ; 4 cm
Soggetto topico 26-XX - Real functions [MSC 2020]
26A03 - Foundations: limits and generalizations, elementary topology of the line [MSC 2020]
26A06 - One-variable calculus [MSC 2020]
26A12 - Rate of growth of functions, orders of infinity, slowly varying functions [MSC 2020]
26A15 - Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable [MSC 2020]
26A24 - Differentiation (real functions of one variable): general theory, generalized derivatives, mean-value theorems [MSC 2020]
26A42 - Integrals of Riemann, Stieltjes and Lebesgue type [MSC 2020]
26B05 - Continuity and differentiation questions [MSC 2020]
28-XX - Measure and integration [MSC 2020]
30-XX - Functions of a complex variable [MSC 2020]
31-XX - Potential theory [MSC 2020]
41-XX - Approximations and expansions [MSC 2020]
42-XX - Harmonic analysis on Euclidean spaces [MSC 2020]
43-XX - Abstract harmonic analysis [MSC 2020]
54-XX - General topology [MSC 2020]
ISBN 978-35-400-5923-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Titolo uniforme
Record Nr. UNICAMPANIA-VAN00045566
Godement, Roger J.  
erlin, : pringer, , 004.
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
Opac: Controlla la disponibilità qui
1: Convergence, elementary functions / translated from the French by Philip Spain
1: Convergence, elementary functions / translated from the French by Philip Spain
Descrizione fisica XXI, 430 p. ; 24 cm.
Soggetto topico 26-XX - Real functions [MSC 2020]
31-XX - Potential theory [MSC 2020]
42-XX - Harmonic analysis on Euclidean spaces [MSC 2020]
28-XX - Measure and integration [MSC 2020]
26A03 - Foundations: limits and generalizations, elementary topology of the line [MSC 2020]
54-XX - General topology [MSC 2020]
30-XX - Functions of a complex variable [MSC 2020]
43-XX - Abstract harmonic analysis [MSC 2020]
41-XX - Approximations and expansions [MSC 2020]
26A06 - One-variable calculus [MSC 2020]
26A15 - Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable [MSC 2020]
26A24 - Differentiation (real functions of one variable): general theory, generalized derivatives, mean-value theorems [MSC 2020]
26A42 - Integrals of Riemann, Stieltjes and Lebesgue type [MSC 2020]
26B05 - Continuity and differentiation questions [MSC 2020]
26A12 - Rate of growth of functions, orders of infinity, slowly varying functions [MSC 2020]
ISBN 8-3-540-05923-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNICAMPANIA-SUN0045566
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
Opac: Controlla la disponibilità qui
1: Distribution theory and Fourier analysis / Lars Hörmander
1: Distribution theory and Fourier analysis / Lars Hörmander
Autore Hörmander, Lars V.
Pubbl/distr/stampa 2. ed. - Berli, : Springe, 199
Descrizione fisica XI, 440 p : ill ; 24 c
Soggetto topico 35-XX - Partial differential equations [MSC 2020]
35A01 - Existence problems for PDEs: global existence, local existence, non-existence [MSC 2020]
35A02 - Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness [MSC 2020]
35A22 - Transform methods (e.g. integral transforms) applied to PDEs [MSC 2020]
35B40 - Asymptotic behavior of solutions to PDEs [MSC 2020]
35Lxx - Hyperbolic equations and hyperbolic systems [MSC 2020]
42-XX - Harmonic analysis on Euclidean spaces [MSC 2020]
42Bxx - Harmonic analysis in several variables [MSC 2020]
43-XX - Abstract harmonic analysis [MSC 2020]
46-XX - Functional analysis [MSC 2020]
46Fxx - Distributions, generalized functions, distribution spaces [MSC 2020]
ISBN 03-87523-43-X
35-405-2343-X
978-35-405-2343-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNICAMPANIA-VAN00056314
Hörmander, Lars V.  
2. ed. - Berli, : Springe, 199
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
Opac: Controlla la disponibilità qui