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Loomis, Lynn Harold

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Author ID: loomis.lynn-harold Recent zbMATH articles by "Loomis, Lynn Harold"
Published as: Loomis, L. H.; Loomis, Lynn; Loomis, Lynn H.; Loomis, Lynn Harold
External Links: MGP · Wikidata · GND
Documents Indexed: 28 Publications since 1940, including 7 Books

Publications by Year

Citations contained in zbMATH Open

22 Publications have been cited 882 times in 831 Documents Cited by Year
An introduction to abstract harmonic analysis. Zbl 0052.11701
Loomis, Lynn H.
440
1953
An inequality related to the isoperimetric inequality. Zbl 0035.38302
Loomis, L. H.; Whitney, H.
82
1949
Advanced calculus. Zbl 0162.35301
Loomis, L. H.; Sternberg, S.
68
1968
Harmonic analysis. Zbl 0165.15502
Loomis, L. H.
46
1965
The lattice theoretic background of the dimension theory of operator algebras. Zbl 0067.08702
Loomis, L. H.
40
1955
The spectral characterization of a class of almost periodic functions. Zbl 0094.05801
Loomis, L. H.
33
1960
On the representation of \(\sigma\)-complete Boolean algebras. Zbl 0033.01103
Loomis, L. H.
29
1947
Linear functionals and content. Zbl 0055.10101
Loomis, L. H.
23
1954
The converse of the Fatou theorem for positive harmonic functions. Zbl 0061.23305
Loomis, Lynn H.
23
1943
Advanced calculus. Rev. ed. Zbl 0782.46041
Loomis, Lynn H.; Sternberg, Shlomo
14
1990
A note on the Hilbert transform. Zbl 0063.03630
Loomis, Lynn H.
14
1946
The Poisson integral representation of functions which are positive and harmonic in a half-plane. Zbl 0061.23304
Loomis, L. H.; Widder, D. V.
13
1942
Unique direct integral decompositions on convex sets. Zbl 0124.32101
Loomis, L. H.
12
1962
Note on a theorem of Mackey. Zbl 0047.35501
Loomis, L. H.
12
1952
Positive definite functions and induced representations. Zbl 0095.10303
Loomis, L. H.
10
1960
On a theorem of von Neumann. Zbl 0060.03606
Loomis, Lynn H.
8
1946
Dilations and extremal measures. Zbl 0404.28003
Loomis, L. H.
4
1975
Advanced calculus. Reprint of the 1990 edition published by Jones and Bartlett Publishers. Zbl 1287.46037
Loomis, Lynn Harold; Sternberg, Shlomo
3
2014
Abstract congruence and the uniqueness of Haar measure. Zbl 0060.13407
Loomis, Lynn H.
3
1945
The intrinsic measure theory of Riemannian and Euclidean metric spaces. Zbl 0060.13406
Loomis, Lynn H.
3
1944
Haar measure in uniform structures. Zbl 0034.37201
Loomis, Lynn H.
1
1949
A short proof of the completeness of the Laguerre functions. Zbl 0063.03629
Loomis, Lynn H.
1
1944
Advanced calculus. Reprint of the 1990 edition published by Jones and Bartlett Publishers. Zbl 1287.46037
Loomis, Lynn Harold; Sternberg, Shlomo
3
2014
Advanced calculus. Rev. ed. Zbl 0782.46041
Loomis, Lynn H.; Sternberg, Shlomo
14
1990
Dilations and extremal measures. Zbl 0404.28003
Loomis, L. H.
4
1975
Advanced calculus. Zbl 0162.35301
Loomis, L. H.; Sternberg, S.
68
1968
Harmonic analysis. Zbl 0165.15502
Loomis, L. H.
46
1965
Unique direct integral decompositions on convex sets. Zbl 0124.32101
Loomis, L. H.
12
1962
The spectral characterization of a class of almost periodic functions. Zbl 0094.05801
Loomis, L. H.
33
1960
Positive definite functions and induced representations. Zbl 0095.10303
Loomis, L. H.
10
1960
The lattice theoretic background of the dimension theory of operator algebras. Zbl 0067.08702
Loomis, L. H.
40
1955
Linear functionals and content. Zbl 0055.10101
Loomis, L. H.
23
1954
An introduction to abstract harmonic analysis. Zbl 0052.11701
Loomis, Lynn H.
440
1953
Note on a theorem of Mackey. Zbl 0047.35501
Loomis, L. H.
12
1952
An inequality related to the isoperimetric inequality. Zbl 0035.38302
Loomis, L. H.; Whitney, H.
82
1949
Haar measure in uniform structures. Zbl 0034.37201
Loomis, Lynn H.
1
1949
On the representation of \(\sigma\)-complete Boolean algebras. Zbl 0033.01103
Loomis, L. H.
29
1947
A note on the Hilbert transform. Zbl 0063.03630
Loomis, Lynn H.
14
1946
On a theorem of von Neumann. Zbl 0060.03606
Loomis, Lynn H.
8
1946
Abstract congruence and the uniqueness of Haar measure. Zbl 0060.13407
Loomis, Lynn H.
3
1945
The intrinsic measure theory of Riemannian and Euclidean metric spaces. Zbl 0060.13406
Loomis, Lynn H.
3
1944
A short proof of the completeness of the Laguerre functions. Zbl 0063.03629
Loomis, Lynn H.
1
1944
The converse of the Fatou theorem for positive harmonic functions. Zbl 0061.23305
Loomis, Lynn H.
23
1943
The Poisson integral representation of functions which are positive and harmonic in a half-plane. Zbl 0061.23304
Loomis, L. H.; Widder, D. V.
13
1942
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Cited by 929 Authors

13 Günzler, Hans
10 Diaz Carrillo, Manuel
9 Baskakov, Anatoliĭ Grigor’evich
9 Pulmannová, Sylvia
7 Foulis, David James
7 Lenz, Daniel H.
7 Saworotnow, Parfeny P.
6 Basit, Bolis
6 deLeeuw, Karel
6 Katznelson, Yitzhak
6 Li, Aijun
5 Campi, Stefano
5 De Amo, Enrique
5 Glicksberg, Irving Leonard
5 Gronchi, Paolo
5 Krishtal, Ilya Arkadievich
5 Li, Xianjin
4 Arens, Richard Friederich
4 Dvurečenskij, Anatolij
4 Golberg, Michael A.
4 Hewitt, Edwin
4 Huang, Qingzhong
4 Kinoshita, Shinya
4 Kluvanek, Igor
4 Rudin, Walter
4 Simon, Barry
3 Chevalier, Georges
3 Civin, Paul
3 Effros, Edward George
3 Forster, Otto
3 Fukushima, Masatoshi
3 Gelbaum, Bernard R.
3 Hausner, Alvin
3 Hoffman, Kenneth
3 Jennrich, Robert I.
3 Mackey, George Whitelaw
3 Moskowitz, Martin A.
3 Ostaszewski, Adam J.
3 Rieffel, Marc A.
3 Rump, Wolfgang
3 Singer, Isadore M.
3 Sławianowski, Jan Jerzy
3 Takesaki, Masamichi
3 Thoma, Elmar
3 Ullrich, David C.
3 Widder, David Vernon
3 Wolfe, Jerry M.
2 Alonso-Gutiérrez, David
2 Anderson, Brian David Outram
2 Baggett, Lawrence Wasson
2 Balan, Radu V.
2 Barnes, Bruce A.
2 Batty, Charles J. K.
2 Bauer, Heinz
2 Belley, Jean-Marc
2 Bennett, John B.
2 Bennett, Jonathan M.
2 Berberian, Sterling K.
2 Berkson, Earl
2 Berti, Patrizia
2 Bingham, Nicholas Hugh
2 Bishop, Errett
2 Bobillo Guerrero, Pablo
2 Bogdanowicz, Witold M.
2 Bollobás, Béla
2 Bonetto, Federico
2 Brazitikos, Silouanos
2 Cartier, Pierre
2 Corwin, Lawrence J.
2 de Branges de Bourcia, Louis
2 del Campo, Ricardo
2 Deshpande, M. V.
2 Dolcher, Mario
2 Donoghue, William F. jun.
2 Edwards, Robert Edmund
2 Essén, Matts Raguel
2 Eymard, Pierre
2 Fel’dman, Gennadiĭ Mikhaĭlovich
2 Filali, Mahmoud
2 Fillmore, Peter A.
2 Fleckinger, Jacqueline
2 Foiaş, Ciprian Ilie
2 Gaggero, Mauro
2 Gentile, Guido
2 Giannopoulos, Apostolos A.
2 Gil de Lamadrid, Jesús
2 Gnecco, Giorgio
2 Gołubowska, Barbara
2 Goodrich, Robert Kent
2 Gracia, Juan-Miguel
2 Granirer, Edmond E.
2 Grosser, Siegfried K.
2 Guth, Lawrence David
2 Hammond, Alan
2 Harris, Reece T. jun.
2 Helson, Henry
2 Hendriks, Harrie
2 Henrichs, Rolf Wim
2 Hirayama, Hiroyuki
2 Holland, Samuel Shaheen jun.
...and 829 more Authors
all top 5

Cited in 219 Serials

83 Transactions of the American Mathematical Society
59 Proceedings of the American Mathematical Society
34 Journal of Mathematical Analysis and Applications
29 Journal of Functional Analysis
27 Mathematische Annalen
23 Acta Mathematica
19 Mathematische Zeitschrift
16 Communications in Mathematical Physics
16 Archiv der Mathematik
16 Bulletin of the American Mathematical Society
11 Advances in Mathematics
11 Bulletin de la Société Mathématique de France
10 Journal d’Analyse Mathématique
10 Czechoslovak Mathematical Journal
10 Journal of Approximation Theory
10 Rendiconti del Seminario Matematico della Università di Padova
9 International Journal of Theoretical Physics
9 Annales de l’Institut Fourier
9 Monatshefte für Mathematik
9 Rendiconti del Circolo Matemàtico di Palermo. Serie II
8 Bulletin of the Australian Mathematical Society
8 Israel Journal of Mathematics
8 Journal of Differential Equations
8 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
8 Proceedings of the Japan Academy
7 Mathematical Proceedings of the Cambridge Philosophical Society
7 Mathematica Slovaca
7 Ergodic Theory and Dynamical Systems
6 Annali di Matematica Pura ed Applicata. Serie Quarta
6 Journal of Algebra
6 Siberian Mathematical Journal
6 Journal of the Australian Mathematical Society
6 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser
5 Mathematical Notes
5 Arkiv för Matematik
5 Algebra Universalis
5 Mathematische Nachrichten
5 Semigroup Forum
5 Advances in Applied Mathematics
4 Journal of Statistical Physics
4 Reports on Mathematical Physics
4 Compositio Mathematica
4 Glasgow Mathematical Journal
4 Inventiones Mathematicae
4 Journal of Economic Theory
4 Proceedings of the Edinburgh Mathematical Society. Series II
4 Tohoku Mathematical Journal. Second Series
4 Revista Matemática Iberoamericana
4 Bulletin de la Société Mathématique de France. Supplément. Mémoires
3 Journal of Mathematical Physics
3 Rocky Mountain Journal of Mathematics
3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
3 The Annals of Probability
3 Functional Analysis and its Applications
3 Journal of Multivariate Analysis
3 Journal of Number Theory
3 Journal of Soviet Mathematics
3 The Journal of Symbolic Logic
3 Rendiconti del Seminario Matemàtico e Fisico di Milano
3 Results in Mathematics
3 Discrete & Computational Geometry
3 SIAM Journal on Mathematical Analysis
3 Stochastic Processes and their Applications
3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
3 Foundations of Physics
3 Kodai Mathematical Seminar Reports
3 Annales Scientifiques de l’École Normale Supérieure. Troisième Série
3 Science China. Mathematics
3 Ufimskiĭ Matematicheskiĭ Zhurnal
2 Advances in Applied Probability
2 American Mathematical Monthly
2 Archive for Rational Mechanics and Analysis
2 International Journal of Mathematical Education in Science and Technology
2 Periodica Mathematica Hungarica
2 Psychometrika
2 Applied Mathematics and Computation
2 Automatica
2 Fuzzy Sets and Systems
2 Geometriae Dedicata
2 Integral Equations and Operator Theory
2 Journal of Econometrics
2 Mathematika
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Studia Logica
2 Synthese
2 Combinatorica
2 Acta Mathematica Hungarica
2 Order
2 Applied Mathematics Letters
2 Journal of the American Mathematical Society
2 Random Structures & Algorithms
2 The Journal of Geometric Analysis
2 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Annales de l’Institut Henri Poincaré. Physique Théorique
2 St. Petersburg Mathematical Journal
2 Journal of Interdisciplinary Mathematics
2 Journal of Mathematical Logic
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
...and 119 more Serials
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Cited in 58 Fields

129 Functional analysis (46-XX)
92 Abstract harmonic analysis (43-XX)
71 Operator theory (47-XX)
63 Measure and integration (28-XX)
63 Probability theory and stochastic processes (60-XX)
56 Harmonic analysis on Euclidean spaces (42-XX)
52 Topological groups, Lie groups (22-XX)
34 Partial differential equations (35-XX)
34 Quantum theory (81-XX)
33 Convex and discrete geometry (52-XX)
31 Order, lattices, ordered algebraic structures (06-XX)
30 Mathematical logic and foundations (03-XX)
30 Number theory (11-XX)
28 Ordinary differential equations (34-XX)
23 Dynamical systems and ergodic theory (37-XX)
22 Real functions (26-XX)
21 Statistics (62-XX)
19 Functions of a complex variable (30-XX)
18 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
17 Integral transforms, operational calculus (44-XX)
14 Potential theory (31-XX)
12 Global analysis, analysis on manifolds (58-XX)
11 Differential geometry (53-XX)
11 Numerical analysis (65-XX)
11 Statistical mechanics, structure of matter (82-XX)
10 Combinatorics (05-XX)
10 Group theory and generalizations (20-XX)
9 Several complex variables and analytic spaces (32-XX)
8 Approximations and expansions (41-XX)
8 Integral equations (45-XX)
8 General topology (54-XX)
8 Computer science (68-XX)
8 Mechanics of particles and systems (70-XX)
7 Associative rings and algebras (16-XX)
7 Information and communication theory, circuits (94-XX)
6 Special functions (33-XX)
6 Operations research, mathematical programming (90-XX)
6 Systems theory; control (93-XX)
5 Commutative algebra (13-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Category theory; homological algebra (18-XX)
5 Difference and functional equations (39-XX)
5 Sequences, series, summability (40-XX)
4 General and overarching topics; collections (00-XX)
4 Manifolds and cell complexes (57-XX)
3 History and biography (01-XX)
3 Nonassociative rings and algebras (17-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Geometry (51-XX)
3 Fluid mechanics (76-XX)
3 Biology and other natural sciences (92-XX)
2 General algebraic systems (08-XX)
2 Field theory and polynomials (12-XX)
2 Algebraic geometry (14-XX)
2 Algebraic topology (55-XX)
2 Relativity and gravitational theory (83-XX)
1 Mechanics of deformable solids (74-XX)
1 Optics, electromagnetic theory (78-XX)

Citations by Year

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