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Bloom, Walter R.

Co-Author Distance
Author ID: bloom.walter-r Recent zbMATH articles by "Bloom, Walter R."
Published as: Bloom, Walter R.
External Links: MGP
Documents Indexed: 57 Publications since 1973, including 1 Book and 1 Additional arXiv Preprint
Co-Authors: 15 Co-Authors with 36 Joint Publications
432 Co-Co-Authors
all top 5

Co-Authors

21 single-authored
10 Heyer, Herbert
9 Xu, Zengfu
4 Fournier, John J. F.
4 Ressel, Paul
3 Sussich, Joseph F.
2 Bloom, Lynette Myra
2 Leinert, Michael
1 Elliott, David
1 Gardner, Richard J.
1 Hales, Al
1 Selvanathan, Saroja
1 Spencer, Joel H.
1 Tao, Terence
1 Walter, Martin E.
1 Wang, Yan
all top 5

Serials

7 Bulletin of the Australian Mathematical Society
7 Journal of the Australian Mathematical Society. Series A
4 Mathematische Zeitschrift
3 Proceedings of the American Mathematical Society
3 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
2 Studia Mathematica
2 Canadian Journal of Mathematics
2 Pacific Journal of Mathematics
2 Journal of the Australian Mathematical Society
1 Arkiv för Matematik
1 Archiv der Mathematik
1 Colloquium Mathematicum
1 Journal of Approximation Theory
1 Mathematische Nachrichten
1 The Mathematical Scientist
1 Monatshefte für Mathematik
1 Proceedings of the London Mathematical Society. Third Series
1 Publicationes Mathematicae Debrecen
1 Probability and Mathematical Statistics
1 Journal of Theoretical Probability
1 Notices of the American Mathematical Society
1 Methods of Functional Analysis and Topology
1 Infinite Dimensional Analysis, Quantum Probability and Related Topics
1 De Gruyter Studies in Mathematics
1 Annals of Functional Analysis
all top 5

Fields

51 Abstract harmonic analysis (43-XX)
13 Probability theory and stochastic processes (60-XX)
9 Harmonic analysis on Euclidean spaces (42-XX)
8 Approximations and expansions (41-XX)
3 Topological groups, Lie groups (22-XX)
3 Measure and integration (28-XX)
2 History and biography (01-XX)
2 Real functions (26-XX)
2 Special functions (33-XX)
2 Functional analysis (46-XX)
1 Combinatorics (05-XX)
1 Group theory and generalizations (20-XX)
1 Potential theory (31-XX)
1 Integral transforms, operational calculus (44-XX)
1 Operator theory (47-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

35 Publications have been cited 409 times in 352 Documents Cited by ▼ Year ▼
Harmonic analysis of probability measures on hypergroups. Zbl 0828.43005
Bloom, Walter R.; Heyer, Herbert
239
1995
The Hardy-Littlewood maximal function for Chébli-Trimèche hypergroups. Zbl 0834.42011
Bloom, Walter R.; Xu, Zengfu
28
1995
Fourier transforms of Schwartz functions on Chébli-Trimèche hypergroups. Zbl 0893.43001
Bloom, Walter R.; Xu, Zengfu
22
1998
Convolution semigroups and resolvent families of measures on hypergroups. Zbl 0558.60008
Bloom, Walter R.; Heyer, Herbert
12
1985
Fourier multipliers for \(L^p\) on Chébli-Trimèche hypergroups. Zbl 1022.43005
Bloom, Walter R.; Xu, Zengfu
10
2000
The Fourier transform for probability measures on hypergroups. Zbl 0501.60016
Bloom, Walter R.; Heyer, Herbert
9
1982
The modulus of continuity of the remainder in the approximation of Lipschitz functions. Zbl 0475.41033
Bloom, Walter R.; Elliott, David
8
1981
Bernstein’s inequality for locally compact Abelian groups. Zbl 0276.43006
Bloom, Walter R.
7
1974
Convergence of convolution products of probability measures on hypergroups. Zbl 0507.60004
Bloom, Walter R.; Heyer, Herbert
7
1982
A characterisation of Lipschitz classes on finite dimensional groups. Zbl 0335.43005
Bloom, Walter R.
6
1976
Absolute convergence of Fourier series on finite-dimensional groups. Zbl 0499.43004
Bloom, Walter R.
6
1982
Approximation of \(H^ p\)-functions by Bochner-Riesz means on compact Lie groups. Zbl 0795.43004
Bloom, Walter R.; Xu, Zengfu
5
1994
Fourier multipliers for local Hardy spaces on Chébli-Trimèche hypergroups. Zbl 0913.43006
Bloom, Walter R.; Xu, Zengfu
4
1998
Exponentially bounded positive-definite functions on a commutative hypergroup. Zbl 0877.43005
Bloom, Walter R.; Ressel, Paul
4
1996
A characterisation of Lipschitz classes on 0-dimensional groups. Zbl 0287.43005
Bloom, Walter R.
4
1975
Positive definite and related functions on hypergroups. Zbl 0724.43005
Bloom, Walter R.; Ressel, Paul
4
1991
Isomorphisms of hypergroups. Zbl 0776.43001
Bloom, Walter R.; Walter, Martin E.
3
1992
Absolute convergence of Fourier series on totally disconnected groups. Zbl 0492.43004
Bloom, Walter R.
3
1982
Local Hardy spaces on Chébli-Trimèche hypergroups. Zbl 0924.43007
Bloom, Walter R.; Xu, Zengfu
2
1999
Negative definite and Schoenberg functions on commutative hypergroups. Zbl 1084.43006
Bloom, Walter R.; Ressel, Paul
2
2005
Jackson’s theorem for finite products and homomorphic images of locally compact abelian groups. Zbl 0293.43005
Bloom, Walter R.
2
1975
Smoothness conditions and integrability theorems of bounded Vilenkin groups. Zbl 0653.42030
Bloom, Walter R.; Fournier, John J. F.
2
1988
Generalized Lipschitz spaces on Vilenkin groups. Zbl 0625.43010
Bloom, Walter R.; Fournier, John J. F.
2
1987
Infinitely divisible measures on hypergroups. Zbl 0503.60014
Bloom, Walter R.
2
1982
Jackson’s theorem for locally compact abelian groups. Zbl 0268.43004
Bloom, Walter R.
2
1974
Hypergroup structures on the set of natural numbers. Zbl 0574.43001
Bloom, Walter R.; Selvanathan, Saroja
2
1986
The degree of approximation by positive linear operators on compact connected Abelian groups. Zbl 0505.41014
Bloom, Walter R.; Sussich, Joseph F.
2
1982
Strict local inclusion results between spaces of Fourier transforms. Zbl 0444.43005
Bloom, Walter R.
2
1982
Multipliers of Lipschitz spaces on zero dimensional groups. Zbl 0455.43002
Bloom, Walter R.
2
1981
Negative definite functions and convolution semigroups of probability measures on a commutative hypergroup. Zbl 0860.60009
Bloom, Walter R.; Heyer, Herbert
1
1996
Pseudo differential operators on local Hardy spaces on Chébli-Trimèche hypergroups. Zbl 0949.43006
Bloom, Walter R.; Xu, Zengfu
1
2000
Representations of negative definite functions on polynomial hypergroups. Zbl 0999.43006
Bloom, Walter R.; Ressel, Paul
1
2002
Sets of p-spectral synthesis. Zbl 0287.43010
Bloom, Walter R.
1
1975
Non-symmetric translation invariant Dirichlet forms on hypergroups. Zbl 0608.60016
Bloom, Walter R.; Heyer, Herbert
1
1987
Characterisation of potential kernels of transient convolution semigroups on a commutative hypergroup. Zbl 0693.60009
Bloom, Walter R.; Heyer, Herbert
1
1989
Negative definite and Schoenberg functions on commutative hypergroups. Zbl 1084.43006
Bloom, Walter R.; Ressel, Paul
2
2005
Representations of negative definite functions on polynomial hypergroups. Zbl 0999.43006
Bloom, Walter R.; Ressel, Paul
1
2002
Fourier multipliers for \(L^p\) on Chébli-Trimèche hypergroups. Zbl 1022.43005
Bloom, Walter R.; Xu, Zengfu
10
2000
Pseudo differential operators on local Hardy spaces on Chébli-Trimèche hypergroups. Zbl 0949.43006
Bloom, Walter R.; Xu, Zengfu
1
2000
Local Hardy spaces on Chébli-Trimèche hypergroups. Zbl 0924.43007
Bloom, Walter R.; Xu, Zengfu
2
1999
Fourier transforms of Schwartz functions on Chébli-Trimèche hypergroups. Zbl 0893.43001
Bloom, Walter R.; Xu, Zengfu
22
1998
Fourier multipliers for local Hardy spaces on Chébli-Trimèche hypergroups. Zbl 0913.43006
Bloom, Walter R.; Xu, Zengfu
4
1998
Exponentially bounded positive-definite functions on a commutative hypergroup. Zbl 0877.43005
Bloom, Walter R.; Ressel, Paul
4
1996
Negative definite functions and convolution semigroups of probability measures on a commutative hypergroup. Zbl 0860.60009
Bloom, Walter R.; Heyer, Herbert
1
1996
Harmonic analysis of probability measures on hypergroups. Zbl 0828.43005
Bloom, Walter R.; Heyer, Herbert
239
1995
The Hardy-Littlewood maximal function for Chébli-Trimèche hypergroups. Zbl 0834.42011
Bloom, Walter R.; Xu, Zengfu
28
1995
Approximation of \(H^ p\)-functions by Bochner-Riesz means on compact Lie groups. Zbl 0795.43004
Bloom, Walter R.; Xu, Zengfu
5
1994
Isomorphisms of hypergroups. Zbl 0776.43001
Bloom, Walter R.; Walter, Martin E.
3
1992
Positive definite and related functions on hypergroups. Zbl 0724.43005
Bloom, Walter R.; Ressel, Paul
4
1991
Characterisation of potential kernels of transient convolution semigroups on a commutative hypergroup. Zbl 0693.60009
Bloom, Walter R.; Heyer, Herbert
1
1989
Smoothness conditions and integrability theorems of bounded Vilenkin groups. Zbl 0653.42030
Bloom, Walter R.; Fournier, John J. F.
2
1988
Generalized Lipschitz spaces on Vilenkin groups. Zbl 0625.43010
Bloom, Walter R.; Fournier, John J. F.
2
1987
Non-symmetric translation invariant Dirichlet forms on hypergroups. Zbl 0608.60016
Bloom, Walter R.; Heyer, Herbert
1
1987
Hypergroup structures on the set of natural numbers. Zbl 0574.43001
Bloom, Walter R.; Selvanathan, Saroja
2
1986
Convolution semigroups and resolvent families of measures on hypergroups. Zbl 0558.60008
Bloom, Walter R.; Heyer, Herbert
12
1985
The Fourier transform for probability measures on hypergroups. Zbl 0501.60016
Bloom, Walter R.; Heyer, Herbert
9
1982
Convergence of convolution products of probability measures on hypergroups. Zbl 0507.60004
Bloom, Walter R.; Heyer, Herbert
7
1982
Absolute convergence of Fourier series on finite-dimensional groups. Zbl 0499.43004
Bloom, Walter R.
6
1982
Absolute convergence of Fourier series on totally disconnected groups. Zbl 0492.43004
Bloom, Walter R.
3
1982
Infinitely divisible measures on hypergroups. Zbl 0503.60014
Bloom, Walter R.
2
1982
The degree of approximation by positive linear operators on compact connected Abelian groups. Zbl 0505.41014
Bloom, Walter R.; Sussich, Joseph F.
2
1982
Strict local inclusion results between spaces of Fourier transforms. Zbl 0444.43005
Bloom, Walter R.
2
1982
The modulus of continuity of the remainder in the approximation of Lipschitz functions. Zbl 0475.41033
Bloom, Walter R.; Elliott, David
8
1981
Multipliers of Lipschitz spaces on zero dimensional groups. Zbl 0455.43002
Bloom, Walter R.
2
1981
A characterisation of Lipschitz classes on finite dimensional groups. Zbl 0335.43005
Bloom, Walter R.
6
1976
A characterisation of Lipschitz classes on 0-dimensional groups. Zbl 0287.43005
Bloom, Walter R.
4
1975
Jackson’s theorem for finite products and homomorphic images of locally compact abelian groups. Zbl 0293.43005
Bloom, Walter R.
2
1975
Sets of p-spectral synthesis. Zbl 0287.43010
Bloom, Walter R.
1
1975
Bernstein’s inequality for locally compact Abelian groups. Zbl 0276.43006
Bloom, Walter R.
7
1974
Jackson’s theorem for locally compact abelian groups. Zbl 0268.43004
Bloom, Walter R.
2
1974
all cited Publications top 5 cited Publications
all top 5

Cited by 324 Authors

27 Tabatabaie, Seyyed Mohammad
21 Voit, Michael
19 Székelyhidi, László
12 Amini, Massoud
11 Kumar, Vishvesh
10 Fechner, Żywilla
9 Bloom, Walter R.
9 Lasser, Rupert
9 Trimèche, Khalifa
8 Heyer, Herbert
7 Mejjaoli, Hatem
7 Rösler, Margit
6 Gselmann, Eszter
5 Ben Salem, Nejib
5 Betancor Perez, Jorge Juan
5 Daher, Radouan
5 Fan, Dashan
5 Kawakami, Satoshi
5 Platonov, Sergei S.
5 Quek, Tong Seng
5 Yap, Leonard Y. H.
5 Zeuner, Hansmartin
4 Bagheri Salec, Alireza
4 Ben Saïd, Salem
4 Betancor-Ortiz, Juan Diego
4 Bischoff, Marcel
4 Bouzeffour, Fethi
4 Chen, Jiecheng
4 Giorgetti, Luca
4 Jokar, Soheila
4 Kumar, Nageswaran Shravan
4 Méndez Pérez, José Manuel R.
4 Pourgholamhossein, Mahmood
4 Rachdi, Lakhdar Tannech
4 Sifi, Mohamed
4 Vati, Kedumetse
4 Wildberger, Norman John
4 Yamanaka, Satoe
3 Amri, Besma
3 Applebaum, David B.
3 Atef, Rahmouni
3 Baccar, Cyrine
3 Cardona, Duván
3 Degenfeld-Schonburg, Sina
3 Del Vecchio, Simone
3 Deleaval, Luc
3 Dziri, Moncef
3 Fournier, John J. F.
3 Gallardo, Léonard
3 Ghaffari, Ali
3 Guerra, Manuel
3 Kahler, Stefan
3 Kawazoe, Takeshi
3 Neuenschwander, Daniel
3 Ross, Kenneth A.
3 Ruzhansky, Michael V.
3 Sarma, Ritumoni
3 Sawada, Yusuke
3 Soltani, Fethi
3 Sousa, Rúben
3 Tsurii, Tatsuya
3 Yakubovich, Semyon B.
2 Abdelkefi, Chokri
2 Alaghmandan, Mahmood
2 Amjadi, Ali Asghar
2 Assal, Miloud
2 Azimifard, Ahmadreza
2 Bahba, Fida
2 Bandyopadhyay, Choiti
2 Ben Hamadi, Nadia
2 Berezans’kyĭ, Yuriĭ Makarovych
2 Boussen, Asma
2 Cao, Feilong
2 Früchtl, Felix
2 Guliyev, Vagif Sabir
2 Hassini, Amina
2 Hazod, Wilfried
2 Hokmabad, Mahmoud Kazemi
2 Holzmann, Hajo
2 Hösel, Volker
2 Ibrahimov, Elman J.
2 Ikkai, Tomohiro
2 Jelassi, Mourad
2 Kamyabi-Gol, Rajab Ali
2 Kroumi, Anis
2 Lashkarizadeh Bami, M.
2 Litvinov, Grigory Lazarevich
2 Medghalchi, Ali Reza
2 Mili, Maher
2 Miloud, Assal
2 Mohammadi, Ali
2 Mourou, Mohamed Ali
2 Muruganandam, Varadharajan
2 Nemati, Mehdi
2 Ohno, Hiromichi
2 Ostaszewski, Adam J.
2 Öztop, Serap
2 Peng, Lizhong
2 Prestin, Jurgen
2 Raja, Chandiraraj Robinson Edward
...and 224 more Authors
all top 5

Cited in 144 Serials

18 Journal of Mathematical Analysis and Applications
13 Mathematische Zeitschrift
11 Monatshefte für Mathematik
11 Journal of Theoretical Probability
10 Semigroup Forum
10 Integral Transforms and Special Functions
8 Journal of Approximation Theory
7 Journal of Functional Analysis
7 Mathematische Nachrichten
7 Journal of the Australian Mathematical Society
7 Mediterranean Journal of Mathematics
6 Journal of Computational and Applied Mathematics
6 The Journal of Fourier Analysis and Applications
5 Rocky Mountain Journal of Mathematics
5 Archiv der Mathematik
5 Aequationes Mathematicae
5 Annales Mathématiques Blaise Pascal
5 Acta Mathematica Sinica. English Series
5 Advances in Pure and Applied Mathematics
5 Journal of Pseudo-Differential Operators and Applications
4 Transactions of the American Mathematical Society
4 Acta Mathematica Hungarica
4 Bulletin of the Iranian Mathematical Society
4 The Journal of Geometric Analysis
4 Complex Analysis and Operator Theory
3 Analysis Mathematica
3 Bulletin of the Australian Mathematical Society
3 The Annals of Probability
3 Journal of Algebra
3 Mathematische Annalen
3 Mathematica Slovaca
3 Journal of Mathematical Sciences (New York)
3 Bulletin des Sciences Mathématiques
3 Infinite Dimensional Analysis, Quantum Probability and Related Topics
3 Operators and Matrices
3 Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences
3 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
3 Analysis and Mathematical Physics
2 Advances in Applied Probability
2 Applicable Analysis
2 Reviews in Mathematical Physics
2 Acta Mathematica Vietnamica
2 Glasgow Mathematical Journal
2 International Journal of Mathematics and Mathematical Sciences
2 Manuscripta Mathematica
2 Proceedings of the American Mathematical Society
2 Results in Mathematics
2 Note di Matematica
2 Forum Mathematicum
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
2 Indagationes Mathematicae. New Series
2 Journal of Algebraic Combinatorics
2 Potential Analysis
2 Filomat
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Thai Journal of Mathematics
2 Advances in Difference Equations
2 Banach Journal of Mathematical Analysis
2 Transactions of A. Razmadze Mathematical Institute
2 Advances in Operator Theory
2 Korean Journal of Mathematics
1 Discrete Mathematics
1 Indian Journal of Pure & Applied Mathematics
1 Israel Journal of Mathematics
1 Journal d’Analyse Mathématique
1 Lithuanian Mathematical Journal
1 Mathematical Notes
1 Periodica Mathematica Hungarica
1 Reports on Mathematical Physics
1 Studia Mathematica
1 Arkiv för Matematik
1 The Mathematical Intelligencer
1 Advances in Mathematics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annales Scientifiques de l’Université de Clermont-Ferrand II. Mathématiques
1 Applied Mathematics and Computation
1 Bulletin of the London Mathematical Society
1 Collectanea Mathematica
1 Colloquium Mathematicum
1 Journal of the Mathematical Society of Japan
1 Journal of Pure and Applied Algebra
1 Journal of Soviet Mathematics
1 Kyungpook Mathematical Journal
1 Mathematica Scandinavica
1 Nagoya Mathematical Journal
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Proceedings of the Japan Academy. Series A
1 Quaestiones Mathematicae
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Rendiconti del Seminario Matemàtico e Fisico di Milano
1 Revista Colombiana de Matemáticas
1 Siberian Mathematical Journal
1 Tôhoku Mathematical Journal. Second Series
1 Tokyo Journal of Mathematics
1 Topology and its Applications
1 Advances in Applied Mathematics
1 Statistics & Probability Letters
1 Acta Applicandae Mathematicae
...and 44 more Serials
all top 5

Cited in 36 Fields

227 Abstract harmonic analysis (43-XX)
100 Harmonic analysis on Euclidean spaces (42-XX)
60 Functional analysis (46-XX)
60 Probability theory and stochastic processes (60-XX)
45 Integral transforms, operational calculus (44-XX)
44 Special functions (33-XX)
41 Group theory and generalizations (20-XX)
29 Operator theory (47-XX)
23 Difference and functional equations (39-XX)
17 Topological groups, Lie groups (22-XX)
15 Partial differential equations (35-XX)
14 Real functions (26-XX)
14 Approximations and expansions (41-XX)
10 Ordinary differential equations (34-XX)
9 Combinatorics (05-XX)
8 Quantum theory (81-XX)
6 Integral equations (45-XX)
5 Differential geometry (53-XX)
5 Global analysis, analysis on manifolds (58-XX)
4 Potential theory (31-XX)
4 Geometry (51-XX)
3 General topology (54-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Nonassociative rings and algebras (17-XX)
2 Measure and integration (28-XX)
2 Functions of a complex variable (30-XX)
2 Manifolds and cell complexes (57-XX)
2 Information and communication theory, circuits (94-XX)
1 History and biography (01-XX)
1 Algebraic geometry (14-XX)
1 Associative rings and algebras (16-XX)
1 Category theory; homological algebra (18-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Sequences, series, summability (40-XX)
1 Numerical analysis (65-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year