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Author ID: herz.carl-s Recent zbMATH articles by "Herz, Carl S."
Published as: Herz, Carl; Herz, C. S.; Herz, Carl S.; Herz, C.
External Links: MGP · Wikidata · GND · IdRef
Documents Indexed: 53 Publications since 1954, including 1 Book
1 Contribution as Editor
Biographic References: 4 Publications
Co-Authors: 8 Co-Authors with 6 Joint Publications
203 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

39 Publications have been cited 1,015 times in 903 Documents Cited by Year
Bessel functions of matrix argument. Zbl 0066.32002
Herz, Carl S.
174
1955
Lipschitz spaces and Bernstein’s theorem on absolutely convergent Fourier transforms. Zbl 0177.15701
Herz, C. S.
137
1968
Harmonic synthesis for subgroups. Zbl 0257.43007
Herz, Carl S.
122
1973
On the mean inversion of Fourier and Hankel transforms. Zbl 0059.09901
Herz, Carl S.
74
1954
The theory of p-spaces with an application to convolution operators. Zbl 0216.15606
Herz, C.
70
1971
Fourier transforms related to convex sets. Zbl 0111.34803
Herz, C. S.
65
1962
Une généralisation de la notion de transformée de Fourier-Stieltjes. Zbl 0287.43006
Herz, Carl S.
38
1974
Bounded mean oscillation and regulated martingales. Zbl 0321.60041
Herz, Carl
37
1974
The spectral theory of bounded functions. Zbl 0090.33202
Herz, Carl S.
36
1960
A class of negative-definite functions. Zbl 0178.54102
Herz, C. S.
29
1963
Sur le phénomène de Kunze-Stein. Zbl 0198.18202
Herz, C.
25
1970
\(H_p\)-spaces of martingales, \(0<p\leq 1\). Zbl 0269.60040
Herz, Carl
23
1974
Seminar on complex multiplication. Seminar held at the Institute for Advanced Study, Princeton, N.J., 1957–58. Zbl 0147.03902
Borel, Armand; Chowla, Sarvadaman; Herz, C. S.; Iwasawa, K.; Serre, Jean-Pierre
22
1966
On the number of lattice points in a convex set. Zbl 0113.03703
Herz, C. S.
22
1962
Fonctions opérant sur les fonctions définies-positives. Zbl 0143.36003
Herz, Carl S.
17
1963
Functions which are divergences. Zbl 0218.46037
Herz, C. S.
12
1970
Remarques sur la note precedente de M. Varopoulos. Zbl 0135.35404
Herz, C.
12
1965
Spectral synthesis for the circle. Zbl 0084.09703
Herz, C. S.
12
1958
Spectral synthesis for the Cantor set. Zbl 0070.10801
Herz, Carl S.
11
1956
Estimates for translation-invariant operators on spaces with mixed norms. Zbl 0269.43006
Herz, Carl; Riviere, Nestor
8
1972
Le rapport entre l’algèbre \(A_ p\) d’un groupe et d’un sous-groupe. Zbl 0195.13803
Herz, Carl
8
1970
A note on the span of translations in \(L^ p\). Zbl 0078.10601
Herz, C. S.
8
1957
On the asymmetry of norms of convolution operators. I. Zbl 0332.43005
Herz, C.
7
1976
Asymmetry of norms of convolution operators II: Nilpotent Lie groups. Zbl 0384.43007
Herz, C.
7
1977
Dual functors and integral operators in the category of Banach spaces. Zbl 0331.46064
Herz, Carl; Pelletier, Joan Wick
5
1976
Les théorèmes de renouvellement. Zbl 0202.47103
Herz, Carl S.
4
1965
An invariance property of spectral synthesis. Zbl 0138.38402
de Leeuw, Karel; Herz, Carl
4
1965
Drury’s lemma and Helson sets. Zbl 0215.47101
Herz, C.
3
1972
Drury’s lemma and Helson sets. Zbl 0229.43009
Herz, Carl
3
1972
A maximal theorem. Zbl 0196.44002
Herz, C. S.
3
1961
Alternating 3-forms and exceptional simple Lie groups of type \(G_ 2\). Zbl 0488.22023
Herz, Carl
3
1983
A note on summability methods and spectral analysis. Zbl 0079.32101
Herz, Carl S.
3
1957
The derivative of the exponential map. Zbl 0739.58003
Herz, Carl
2
1991
Problems of extrapolation and spectral synthesis on groups. Zbl 0246.43004
Herz, C.
2
1972
Synthese spectrale pur les sous-groupes par rapport aux algèbres \(A_ p\). Zbl 0195.13802
Herz, Carl
2
1970
An interpolation principle for martingale inequalities. Zbl 0346.60031
Herz, Carl
2
1976
Splitting intervals. Zbl 0661.60054
Herz, Carl
1
1988
Fonctions opérant sur les fonctions définies positives. Zbl 0143.36004
Herz, Carl S.
1
1963
Sur la stabilité de la synthese spectrale. Zbl 0195.14204
Herz, Carl; de Leeuw, Karel
1
1963
The derivative of the exponential map. Zbl 0739.58003
Herz, Carl
2
1991
Splitting intervals. Zbl 0661.60054
Herz, Carl
1
1988
Alternating 3-forms and exceptional simple Lie groups of type \(G_ 2\). Zbl 0488.22023
Herz, Carl
3
1983
Asymmetry of norms of convolution operators II: Nilpotent Lie groups. Zbl 0384.43007
Herz, C.
7
1977
On the asymmetry of norms of convolution operators. I. Zbl 0332.43005
Herz, C.
7
1976
Dual functors and integral operators in the category of Banach spaces. Zbl 0331.46064
Herz, Carl; Pelletier, Joan Wick
5
1976
An interpolation principle for martingale inequalities. Zbl 0346.60031
Herz, Carl
2
1976
Une généralisation de la notion de transformée de Fourier-Stieltjes. Zbl 0287.43006
Herz, Carl S.
38
1974
Bounded mean oscillation and regulated martingales. Zbl 0321.60041
Herz, Carl
37
1974
\(H_p\)-spaces of martingales, \(0<p\leq 1\). Zbl 0269.60040
Herz, Carl
23
1974
Harmonic synthesis for subgroups. Zbl 0257.43007
Herz, Carl S.
122
1973
Estimates for translation-invariant operators on spaces with mixed norms. Zbl 0269.43006
Herz, Carl; Riviere, Nestor
8
1972
Drury’s lemma and Helson sets. Zbl 0215.47101
Herz, C.
3
1972
Drury’s lemma and Helson sets. Zbl 0229.43009
Herz, Carl
3
1972
Problems of extrapolation and spectral synthesis on groups. Zbl 0246.43004
Herz, C.
2
1972
The theory of p-spaces with an application to convolution operators. Zbl 0216.15606
Herz, C.
70
1971
Sur le phénomène de Kunze-Stein. Zbl 0198.18202
Herz, C.
25
1970
Functions which are divergences. Zbl 0218.46037
Herz, C. S.
12
1970
Le rapport entre l’algèbre \(A_ p\) d’un groupe et d’un sous-groupe. Zbl 0195.13803
Herz, Carl
8
1970
Synthese spectrale pur les sous-groupes par rapport aux algèbres \(A_ p\). Zbl 0195.13802
Herz, Carl
2
1970
Lipschitz spaces and Bernstein’s theorem on absolutely convergent Fourier transforms. Zbl 0177.15701
Herz, C. S.
137
1968
Seminar on complex multiplication. Seminar held at the Institute for Advanced Study, Princeton, N.J., 1957–58. Zbl 0147.03902
Borel, Armand; Chowla, Sarvadaman; Herz, C. S.; Iwasawa, K.; Serre, Jean-Pierre
22
1966
Remarques sur la note precedente de M. Varopoulos. Zbl 0135.35404
Herz, C.
12
1965
Les théorèmes de renouvellement. Zbl 0202.47103
Herz, Carl S.
4
1965
An invariance property of spectral synthesis. Zbl 0138.38402
de Leeuw, Karel; Herz, Carl
4
1965
A class of negative-definite functions. Zbl 0178.54102
Herz, C. S.
29
1963
Fonctions opérant sur les fonctions définies-positives. Zbl 0143.36003
Herz, Carl S.
17
1963
Fonctions opérant sur les fonctions définies positives. Zbl 0143.36004
Herz, Carl S.
1
1963
Sur la stabilité de la synthese spectrale. Zbl 0195.14204
Herz, Carl; de Leeuw, Karel
1
1963
Fourier transforms related to convex sets. Zbl 0111.34803
Herz, C. S.
65
1962
On the number of lattice points in a convex set. Zbl 0113.03703
Herz, C. S.
22
1962
A maximal theorem. Zbl 0196.44002
Herz, C. S.
3
1961
The spectral theory of bounded functions. Zbl 0090.33202
Herz, Carl S.
36
1960
Spectral synthesis for the circle. Zbl 0084.09703
Herz, C. S.
12
1958
A note on the span of translations in \(L^ p\). Zbl 0078.10601
Herz, C. S.
8
1957
A note on summability methods and spectral analysis. Zbl 0079.32101
Herz, Carl S.
3
1957
Spectral synthesis for the Cantor set. Zbl 0070.10801
Herz, Carl S.
11
1956
Bessel functions of matrix argument. Zbl 0066.32002
Herz, Carl S.
174
1955
On the mean inversion of Fourier and Hankel transforms. Zbl 0059.09901
Herz, Carl S.
74
1954
all top 5

Cited by 894 Authors

18 Weisz, Ferenc
14 Chikuse, Yasuko
13 Díaz-García, José Antonio
12 Colzani, Leonardo
11 Cowling, Michael G.
10 Derighetti, Antoine
10 Travaglini, Giancarlo
9 Betancor Perez, Jorge Juan
9 Jiao, Yong
9 Rafeiro, Humberto
9 Spronk, Nico
8 Brandolini, Luca
8 Gigante, Giacomo
8 Gupta, Arjun Kumar
8 Herz, Carl S.
8 Kaniuth, Eberhard
8 Lau, Anthony To-Ming
8 Lohoué, Noël
8 Richards, Donald St. P.
8 Shimomura, Tetsu
8 Ulger, Ali
8 Yang, Dachun
7 Caro-Lopera, Francisco José
7 Guillot, Dominique
7 Iosevich, Alex
7 Meda, Stefano
7 Mizuta, Yoshihiro
7 Nagar, Daya K.
7 Rubin, Boris
6 Fan, Dashan
6 Guo, Kanghui
6 Gutiérrez-Jáimez, Ramón
6 Johnson, Raymond
6 Khare, Apoorva
6 Lu, Shanzhen
6 Müller, Detlef
6 Ohno, Takao
6 Samko, Stefan Grigorievich
6 Sangani-Monfared, Mehdi
5 Arashi, Mohammad
5 Bekker, Andriëtte
5 Gardella, Eusebio
5 González-Farías, Graciela M.
5 Ho, Kwok-Pun
5 Kumar, Nageswaran Shravan
5 Labate, Demetrio
5 Matsuoka, Katsuo
5 Meaney, Christopher
5 Pourmahmood-Aghababa, Hasan
5 Roux, Jacobus J. J.
5 Runde, Volker
5 Turowska, Lyudmila B.
5 Volosivets, Sergeĭ Sergeevich
5 Wu, Lian
5 Xu, Jingshi
5 Yu, Lin
5 Zaighum, Muhammad Asad
5 Zhou, Dejian
4 Anker, Jean-Philippe
4 Ben Hamadi, Nadia
4 Bourgain, Jean
4 Choi, Yemon
4 Davis, Arthur W.
4 Felix, Rainer
4 Filali, Mahmoud
4 Forrest, Brian E.
4 Fournier, John J. F.
4 Gariboldi, Bianca
4 Gerth, Frank III
4 Graham, Colin C.
4 Hao, Zhiwei
4 Ilie, Monica
4 Katznelson, Yitzhak
4 Lal, Rattan
4 Liflyand, Elijah
4 Ludwig, Jean
4 Mathai, Arakaparampli Mathai
4 Mauceri, Giancarlo
4 Muirhead, Robb J.
4 Ono, Ken
4 Ournycheva, Elena
4 Rajaratnam, Bala
4 Ricci, Fulvio
4 Sawano, Yoshihiro
4 Seeger, Andreas
4 Stein, Elias Menachem
4 Thiel, Hannes
4 Xie, Guangheng
4 Yan, Lixin
3 Akbarbaglu, Ibrahim
3 Belton, Alexander C. R.
3 Benedetto, John Joseph
3 Boggarapu, Pradeep
3 Boyer, Adrien
3 Bruinier, Jan Hendrik
3 Chen, Peng
3 Delaporte, Jacques
3 Ding, Hongming
3 Drihem, Douadi
3 Faraut, Jacques
...and 794 more Authors
all top 5

Cited in 213 Serials

60 Journal of Functional Analysis
48 Transactions of the American Mathematical Society
42 Proceedings of the American Mathematical Society
39 Journal of Multivariate Analysis
35 Journal of Mathematical Analysis and Applications
22 The Journal of Fourier Analysis and Applications
20 Advances in Mathematics
17 Mathematische Annalen
16 Arkiv för Matematik
16 Annales de l’Institut Fourier
16 Monatshefte für Mathematik
16 Bulletin of the American Mathematical Society
15 Mathematical Notes
14 Tôhoku Mathematical Journal. Second Series
13 Israel Journal of Mathematics
12 Linear Algebra and its Applications
11 Duke Mathematical Journal
11 Journal of Number Theory
11 Communications in Statistics. Theory and Methods
10 Annals of the Institute of Statistical Mathematics
10 Rendiconti del Circolo Matemàtico di Palermo. Serie II
10 Acta Mathematica Hungarica
9 The Journal of Geometric Analysis
9 Integral Transforms and Special Functions
9 Journal of Inequalities and Applications
8 Analysis Mathematica
8 Inventiones Mathematicae
8 Mathematische Nachrichten
8 Statistics & Probability Letters
8 Journal of the Australian Mathematical Society
7 Journal d’Analyse Mathématique
7 Acta Mathematica Sinica. English Series
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Mathematical Proceedings of the Cambridge Philosophical Society
6 Rocky Mountain Journal of Mathematics
6 Mathematische Zeitschrift
6 Journal of Theoretical Probability
6 Bulletin of the American Mathematical Society. New Series
6 Bulletin des Sciences Mathématiques
6 Mediterranean Journal of Mathematics
6 Journal of Function Spaces
5 Annali di Matematica Pura ed Applicata. Serie Quarta
5 Journal of Soviet Mathematics
5 Applied and Computational Harmonic Analysis
5 Complex Variables and Elliptic Equations
5 Journal of Pseudo-Differential Operators and Applications
4 Acta Mathematica
4 Archiv der Mathematik
4 Integral Equations and Operator Theory
4 Journal of Statistical Planning and Inference
4 Proceedings of the Japan Academy. Series A
4 Frontiers of Mathematics in China
4 Banach Journal of Mathematical Analysis
3 Metrika
3 Mathematics of Computation
3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 Czechoslovak Mathematical Journal
3 Functional Analysis and its Applications
3 Journal of Approximation Theory
3 Journal of Computational and Applied Mathematics
3 Journal of Differential Equations
3 Numerical Functional Analysis and Optimization
3 Rendiconti del Seminario Matemàtico e Fisico di Milano
3 Results in Mathematics
3 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
3 Acta Mathematicae Applicatae Sinica. English Series
3 Probability Theory and Related Fields
3 Revista Matemática Iberoamericana
3 International Journal of Mathematics
3 Journal of Mathematical Sciences (New York)
3 Revista Matemática Complutense
3 Annals of Mathematics. Second Series
3 Acta Mathematica Scientia. Series B. (English Edition)
3 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
3 Forum of Mathematics, Sigma
3 Open Mathematics
2 Communications in Mathematical Physics
2 Journal of Mathematical Physics
2 Lithuanian Mathematical Journal
2 Studia Mathematica
2 The Annals of Statistics
2 Bulletin de la Société Mathématique de France
2 Demonstratio Mathematica
2 Glasgow Mathematical Journal
2 Illinois Journal of Mathematics
2 Manuscripta Mathematica
2 Mathematika
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Proceedings of the London Mathematical Society. Third Series
2 Advances in Applied Mathematics
2 Statistics
2 Constructive Approximation
2 Forum Mathematicum
2 Science in China. Series A
2 Geometric and Functional Analysis. GAFA
2 Expositiones Mathematicae
2 Potential Analysis
2 Positivity
...and 113 more Serials
all top 5

Cited in 54 Fields

264 Abstract harmonic analysis (43-XX)
262 Harmonic analysis on Euclidean spaces (42-XX)
247 Functional analysis (46-XX)
110 Topological groups, Lie groups (22-XX)
110 Statistics (62-XX)
104 Probability theory and stochastic processes (60-XX)
98 Operator theory (47-XX)
73 Special functions (33-XX)
65 Number theory (11-XX)
40 Partial differential equations (35-XX)
37 Linear and multilinear algebra; matrix theory (15-XX)
29 Real functions (26-XX)
28 Integral transforms, operational calculus (44-XX)
26 Global analysis, analysis on manifolds (58-XX)
23 Convex and discrete geometry (52-XX)
17 Potential theory (31-XX)
15 Approximations and expansions (41-XX)
11 Group theory and generalizations (20-XX)
11 Numerical analysis (65-XX)
10 Combinatorics (05-XX)
10 Nonassociative rings and algebras (17-XX)
9 Measure and integration (28-XX)
9 Functions of a complex variable (30-XX)
9 Several complex variables and analytic spaces (32-XX)
9 Dynamical systems and ergodic theory (37-XX)
9 Differential geometry (53-XX)
7 Information and communication theory, circuits (94-XX)
6 Algebraic geometry (14-XX)
6 Quantum theory (81-XX)
5 Mathematical logic and foundations (03-XX)
5 Category theory; homological algebra (18-XX)
4 Ordinary differential equations (34-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
3 Sequences, series, summability (40-XX)
3 General topology (54-XX)
3 Manifolds and cell complexes (57-XX)
2 \(K\)-theory (19-XX)
2 Integral equations (45-XX)
2 Geometry (51-XX)
2 Algebraic topology (55-XX)
2 Mechanics of deformable solids (74-XX)
2 Fluid mechanics (76-XX)
1 History and biography (01-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Field theory and polynomials (12-XX)
1 Commutative algebra (13-XX)
1 Associative rings and algebras (16-XX)
1 Difference and functional equations (39-XX)
1 Computer science (68-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Relativity and gravitational theory (83-XX)
1 Geophysics (86-XX)
1 Biology and other natural sciences (92-XX)
1 Systems theory; control (93-XX)

Citations by Year

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