Collected works with commentaries: 2 Generalized harmonic analysis and Tauberian theory, classical harmonic and complex analysis
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge, Mass. [u.a.]
MIT Press
1979
|
| Schriftenreihe: | Mathematicians of our time
15 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIII, 969 S. graph. Darst. |
| ISBN: | 0262230925 |
Internformat
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| 100 | 1 | |a Wiener, Norbert |d 1894-1964 |e Verfasser |0 (DE-588)118632558 |4 aut | |
| 245 | 1 | 0 | |a Collected works with commentaries |n 2 |p Generalized harmonic analysis and Tauberian theory, classical harmonic and complex analysis |c Norbert Wiener. Ed. by P. Masani |
| 264 | 1 | |a Cambridge, Mass. [u.a.] |b MIT Press |c 1979 | |
| 300 | |a XIII, 969 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Mathematicians of our time |v 15 | |
| 490 | 0 | |a Mathematicians of our time |v ... | |
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Mathematics |x Collected works | |
| 700 | 1 | |a Masani, Pesi R. |e Sonstige |4 oth | |
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| 830 | 0 | |a Mathematicians of our time |v 15 |w (DE-604)BV000014195 |9 15 | |
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Datensatz im Suchindex
| _version_ | 1804114982237896704 |
|---|---|
| adam_text | Contents
(Bracketed numbers are from the Bibliography.)
Preface
xiii
The Classification of Wiener s Papers
2
P. Masani: Introduction and Acknowledgment
3
Bibliography of Norbert Wiener
9
Supplementary Bibliography
27
ID
Generalized Harmonic Analysis and
Tauberian Theory
[23f] Note on a new type of summability 31
V. Benes: Comments on [23f] 35
[24f ] The quadratic variation of a function and its Fourier coeffi¬
cients 36
V. Benes: Comments on [24f] 59
[25c] On the representation of functions by trigonometrical integrals 60
V. Benes: Comments on [25c] 102
[25d] Verallgemeinerte trigonometrische Entwicklungen 103
V. Benes: Comments on [25d] 111
[26a] The harmonic analysis of irregular motion 112
[26b] The harmonic analysis of irregular motion (Second Paper) 135
[28a] The spectrum of an arbitrary function 167
S. Koizumi: Comments on [26a, b], [28d] 181
vii CONTENTS
[30a] Generalized harmonic analysis 183
S. Koizumi: Commentary on the memoire [30a] on generalized
harmonic analysis 325
P. Masani: Commentary on the memoire [30a] on generalized
harmonic analysis 333
[27a] The spectrum of an array and its application to the study of
the translation properties of a simple class of arithmetical
functions, Part I (Part II: On the translation of a simple class
of arithmetical functions, by K. Mahler) 380
P. Masani: Comments on [27a] 393
[26c] The operational calculus 397
L. Schwartz: Comments on [26c] 425
[29c] Fourier analysis and asymptotic series 428
P. Masani: Comments on [29c] 442
[25b] The solution of a difference equation by trigonometrical inte¬
grals 443
G. Strang: Comments on [25b] 454
[27b] A new definition of almost periodic functions 455
F. Holland: Comments on [27b] 458
C. Berenstein: Comments on [27b] 460
[29a] Harmonic analysis and group theory 461
F. Holland: Comments on [29a] 468
C. Berenstein: Comments on [29a] 471
K. S. Lau: Comments on [29a] 472
[27c] On a theorem of Bochner and Hardy 474
H. R. Pitt: Comments on [27c] 480
[27d] Une methode nouvelle pour la demonstration des theoremes
de M. Tauber 481
H. R. Pitt: Comments on [27d] 484
[28b] A new method in Tauberian theorems 485
H. R. Pitt: Comments on [28b] 509
viii CONTENTS
[29b] A type of Tauberian theorem applying to Fourier series 510
H. R. Pitt: Comments on [29b] 518
[32a] Tauberian theorems 519
[32b] A note on Tauberian theorems 619
H. R. Pitt: Commentary on the memoire [ 32a, b] on Tauberian
theory 620
[33b] A one sided Tauberian theorem 624
H. R. Pitt: Comments on [33b] 627
J. Korevaar: Commentary on the Tauberian theoretic papers
[27c, d], [28b], [29b], [32a, b], [33b] 628
[32f ] Analytic properties of the characters of infinite Abelian groups,
Abstract (with R. E. A. C. Paley) 636
[33c] Characters of Abelian groups (with R. E. A. C. Paley) 637
E. Hewitt: Comments on [32f], [33c] 642
[33d] The total variation ofg(x + h) — g(x) (with R. C. Young) 643
[38b] On absolutely convergent Fourier Stieltjes transforms (with
H. R. Pitt) 657
W. Rudin: Comments on [33d], [38b] 674
E. Hewitt: Comments on [38b] 675
[38c] Fourier Stieltjes transforms and singular infinite convolutions
(with A. Wintner) 677
[39c] On singular distributions (with A. Wintner j 687
W. Rudin: Comments on [38c], [39c] 701
E. Hewitt: Comments on [38c] 703
[39d] Convergence properties of analytic functions of Fourier
Stieltjes transforms (with R. H. Cameron) 705
V. Rudin: Comments on [39d] 718
R. H. Cameron and I. Richards: Comments on [39d] 719
[37a] Taylor s series of entire functions of smooth growth (with
VV. T.Martin) 721
ix CONTENTS
[38d] Taylor s series of functions of smooth growth in the unit circle
(with W. T. Martin) 732
W. Fuchs: Comments on [37a], [38d] 741
[39e] A generalization of Ikehara s theorem (with H. R. Pitt) 742
[50a] Some prime number consequences of the Ikehara theorem
(with L. Geller) 754
[56a] On a local Z,2 variant of Ikehara s theorem (with A. Wintner) 758
[57b] Notes on Polya s and Turan s hypotheses concerning Liouville s
factor (with A. Wintner) 765
[57c] On the non vanishing of Euler products (with A. Wintner) 774
P. T. Bateman and H. G. Diamond: Commentary on the
number theoretic papers [39e], [50a], [56a], [57b, c] 782
[38e] The historical background of harmonic analysis 794
P. Masani: Comments on [38e] 807
IE
Classical Harmonic and
Complex Analysis
Orthogonal developments, quasi analyticity, gap theorems,
and Fourier transforms in the complex domain
[22d] The equivalence of expansions in terms of orthogonal functions
(with J. L. Walsh) 813
J. L. Walsh: Comments on [22d] 833
[25e] Note on quasi analytic functions 834
J. W. Neuberger: Comments on [25e] 841
[27e] On the closure of certain assemblages of trigonometrical
functions 842
[34b] A class of gap theorems 845
x CONTENTS
[35a] Fabry s gap theorem 851
[36b] Sur les series de Fourier lacunaires. Theoremes directs (with
S. Mandelbrpjt) 858
[36c] Series de Fourier lacunaires. Theoremes inverses (with S.
Mandelbrojt) 861
[36d] Gap theorems 863
[36e] A Tauberian gap theorem of Hardy and Littlewood 876
[36a] A theorem of Carleman 884
P. J. Koosis: Commentary on the gap theoretic papers [27e],
[34b], [35a] and [36a e] 892
[47a] Sur les fonctions indefiniment derivables sur une demi droite
(with S. Mandelbrojt) 909
S. Mandelbrojt: Comments on [36b, c], [47a] 912
[29d] Hermitian polynomials and Fourier analysis 914
T. Hida: Comments on [29d] 918
[33e] Notes on the theory and application of Fourier transforms
(with R. E. A. C. Paley) 919
J. W. Neuberger: Comments on [33e, Part I] 950
R. P. Gosselin: Comments on [33e, Part II] 951
[38f ] Remarks on the classical inversion_ formula for the Laplace
integral (with D. V. Widder) 952
D. V. Widder: Comments on [38f] 955
[42a] On the oscillation of the derivatives of a periodic function
(with G. Polya) 956
R. Askey: Comments on [42a] 964
Index of Papers and Commentaries 967
xi CONTENTS
|
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| isbn | 0262230925 |
| language | English |
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| physical | XIII, 969 S. graph. Darst. |
| publishDate | 1979 |
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| series | Mathematicians of our time |
| series2 | Mathematicians of our time |
| spelling | Wiener, Norbert 1894-1964 Verfasser (DE-588)118632558 aut Collected works with commentaries 2 Generalized harmonic analysis and Tauberian theory, classical harmonic and complex analysis Norbert Wiener. Ed. by P. Masani Cambridge, Mass. [u.a.] MIT Press 1979 XIII, 969 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematicians of our time 15 Mathematicians of our time ... Mathematik Mathematics Collected works Masani, Pesi R. Sonstige oth (DE-604)BV000534993 2 Mathematicians of our time 15 (DE-604)BV000014195 15 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000330161&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Wiener, Norbert 1894-1964 Collected works with commentaries Mathematicians of our time Mathematik Mathematics Collected works |
| title | Collected works with commentaries |
| title_auth | Collected works with commentaries |
| title_exact_search | Collected works with commentaries |
| title_full | Collected works with commentaries 2 Generalized harmonic analysis and Tauberian theory, classical harmonic and complex analysis Norbert Wiener. Ed. by P. Masani |
| title_fullStr | Collected works with commentaries 2 Generalized harmonic analysis and Tauberian theory, classical harmonic and complex analysis Norbert Wiener. Ed. by P. Masani |
| title_full_unstemmed | Collected works with commentaries 2 Generalized harmonic analysis and Tauberian theory, classical harmonic and complex analysis Norbert Wiener. Ed. by P. Masani |
| title_short | Collected works with commentaries |
| title_sort | collected works with commentaries generalized harmonic analysis and tauberian theory classical harmonic and complex analysis |
| topic | Mathematik Mathematics Collected works |
| topic_facet | Mathematik Mathematics Collected works |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000330161&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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