Transactions of the American Mathematical Society Short Title: Trans. Am. Math. Soc. Publisher: American Mathematical Society (AMS), Providence, RI ISSN: 0002-9947; 1088-6850/e Online: https://www.ams.org/journals/tran/all_issues.html Comments: Indexed cover-to-cover Documents Indexed: 19,188 Publications (since 1900) References Indexed: 13,869 Publications with 280,846 References. all top 5 Latest Issues 376, No. 4 (2023) 376, No. 3 (2023) 376, No. 2 (2023) 376, No. 1 (2023) 375, No. 12 (2022) 375, No. 11 (2022) 375, No. 10 (2022) 375, No. 9 (2022) 375, No. 8 (2022) 375, No. 7 (2022) 375, No. 6 (2022) 375, No. 5 (2022) 375, No. 4 (2022) 375, No. 3 (2022) 375, No. 2 (2022) 375, No. 1 (2022) 374, No. 12 (2021) 374, No. 11 (2021) 374, No. 10 (2021) 374, No. 9 (2021) 374, No. 8 (2021) 374, No. 7 (2021) 374, No. 6 (2021) 374, No. 5 (2021) 374, No. 4 (2021) 374, No. 3 (2021) 374, No. 2 (2021) 374, No. 1 (2021) 373, No. 12 (2020) 373, No. 11 (2020) 373, No. 10 (2020) 373, No. 9 (2020) 373, No. 8 (2020) 373, No. 7 (2020) 373, No. 6 (2020) 373, No. 5 (2020) 373, No. 4 (2020) 373, No. 3 (2020) 373, No. 2 (2020) 373, No. 1 (2020) 372, No. 12 (2019) 372, No. 11 (2019) 372, No. 10 (2019) 372, No. 9 (2019) 372, No. 8 (2019) 372, No. 7 (2019) 372, No. 6 (2019) 372, No. 5 (2019) 372, No. 4 (2019) 372, No. 3 (2019) 372, No. 2 (2019) 372, No. 1 (2019) 371, No. 12 (2019) 371, No. 11 (2019) 371, No. 10 (2019) 371, No. 9 (2019) 371, No. 8 (2019) 371, No. 7 (2019) 371, No. 6 (2019) 371, No. 5 (2019) 371, No. 4 (2019) 371, No. 3 (2019) 371, No. 2 (2019) 371, No. 1 (2019) 370, No. 12 (2018) 370, No. 11 (2018) 370, No. 10 (2018) 370, No. 9 (2018) 370, No. 8 (2018) 370, No. 7 (2018) 370, No. 6 (2018) 370, No. 5 (2018) 370, No. 4 (2018) 370, No. 3 (2018) 370, No. 2 (2018) 370, No. 1 (2018) 369, No. 12 (2017) 369, No. 11 (2017) 369, No. 10 (2017) 369, No. 9 (2017) 369, No. 8 (2017) 369, No. 7 (2017) 369, No. 6 (2017) 369, No. 5 (2017) 369, No. 4 (2017) 369, No. 3 (2017) 369, No. 2 (2017) 369, No. 1 (2017) 368, No. 12 (2016) 368, No. 11 (2016) 368, No. 10 (2016) 368, No. 9 (2016) 368, No. 8 (2016) 368, No. 7 (2016) 368, No. 6 (2016) 368, No. 5 (2016) 368, No. 4 (2016) 368, No. 3 (2016) 368, No. 2 (2016) 368, No. 1 (2016) ...and 643 more Volumes all top 5 Authors 61 Walsh, Joseph Leonard 49 Dickson, Leonard Eugene 46 Friedman, Avner 40 Albert, Abraham Adrian 40 Shelah, Saharon 34 Miller, George Abram 31 Kasner, Edward 31 Langer, Rudolph Ernest 28 Bell, Eric Temple 25 Wheeden, Richard Lee 25 Widder, David Vernon 23 Doob, Joseph Leonard 23 Jackson, Dunham 23 Ritt, Joseph Fels 22 Bliss, Gilbert Ames 22 Ward, Morgan 21 Adams, Clarence Raymond 21 Baer, Reinhold 21 Grove, V. G. 21 Huntington, Edward Vermilye 21 Muckenhoupt, Benjamin 21 Strichartz, Robert S. 21 Wilczynski, Ernest Julius 20 Eisenhart, Luther Pfahler 20 Lau, Anthony To-Ming 19 Hartman, Philip 19 Rado, Tibor 18 Morse, Anthony Perry 17 Ore, Øystein 16 Hestenes, Magnus Rudolph 16 Schmidt, Wolfgang M. 16 Wall, Hubert Stanley 15 Birkhoff, George David 15 Dunford, Nelson 15 Hill, Paul D. 15 Mac Lane, Leslie Saunders 15 Mahowald, Mark Edward 15 Oversteegen, Lex G. 15 Saff, Edward Barry 14 de Cicco, John 14 Douglas, Jesse 14 Dunkl, Charles F. 14 Kalton, Nigel John 14 Kenig, Carlos Eduardo 14 Lau, Kasing 14 Manning, William Albert 14 McShane, Edward James 14 Morse, Marston 14 Rahman, Qazi Ibadur 14 Snyder, Virgil 14 Stong, Robert E. 14 Szasz, Otto 14 Szegő, Gábor 14 Tiep Pham Huu 14 Van Vleck, Edward Burr 13 Cameron, Robert Horton 13 Carlitz, Leonard 13 Davis, Donald M. 13 Franks, John M. 13 Heinzer, William J. 13 Passman, Donald Steven 13 Pillay, Anand 13 Putcha, Mohan S. 13 Reiner, Irving 13 Schechter, Martin 13 Schoenberg, Isaac Jacob 13 Whyburn, Gordon Thomas 13 Yorke, James Alan 13 Zygmund, Antoni 12 Berndt, Bruce Carl 12 Birkhoff, Garrett 12 Blichfeldt, Hans Frederik 12 Borwein, Jonathan Michael 12 Federer, Herbert 12 Graustein, William Caspar 12 Hindman, Neil 12 Lane, Ernest Preston 12 Nehari, Zeev 12 Phillips, Ralph Saul 12 Rockafellar, Ralph Tyrrell 12 Shapiro, Victor L. 12 Wallach, Nolan Russell 12 Wiener, Norbert 12 Zhang, James J. 11 Agnew, Ralph Palmer 11 Andrews, George Eyre 11 Ash, J. Marshall 11 Auslander, Maurice 11 Bass, Richard F. 11 Bergman, Stefan 11 Bing, R. H. 11 Block, Louis Stuart 11 Blokh, Alexander M. 11 Boas, Ralph Philip jun. 11 Bringmann, Kathrin 11 Cowling, Michael G. 11 Ellis, Robert Mortimer 11 Hua, Loo-Keng 11 Ismail, Mourad El-Houssieny 11 Jenkins, James Allister ...and 15,712 more Authors all top 5 Fields 1,513 Partial differential equations (35-XX) 1,465 Manifolds and cell complexes (57-XX) 1,427 Group theory and generalizations (20-XX) 1,366 Functional analysis (46-XX) 1,311 Algebraic geometry (14-XX) 1,252 Number theory (11-XX) 1,102 Differential geometry (53-XX) 1,004 Operator theory (47-XX) 968 Dynamical systems and ergodic theory (37-XX) 859 Algebraic topology (55-XX) 834 Functions of a complex variable (30-XX) 832 Probability theory and stochastic processes (60-XX) 786 General topology (54-XX) 764 Several complex variables and analytic spaces (32-XX) 749 Topological groups, Lie groups (22-XX) 738 Associative rings and algebras (16-XX) 735 Combinatorics (05-XX) 728 Global analysis, analysis on manifolds (58-XX) 712 Mathematical logic and foundations (03-XX) 684 Harmonic analysis on Euclidean spaces (42-XX) 597 Commutative algebra (13-XX) 587 Measure and integration (28-XX) 503 Nonassociative rings and algebras (17-XX) 475 Ordinary differential equations (34-XX) 402 Abstract harmonic analysis (43-XX) 360 Category theory; homological algebra (18-XX) 340 Real functions (26-XX) 331 Convex and discrete geometry (52-XX) 307 Calculus of variations and optimal control; optimization (49-XX) 269 Order, lattices, ordered algebraic structures (06-XX) 253 Potential theory (31-XX) 224 Special functions (33-XX) 218 Field theory and polynomials (12-XX) 206 Approximations and expansions (41-XX) 196 Linear and multilinear algebra; matrix theory (15-XX) 168 Quantum theory (81-XX) 150 Geometry (51-XX) 136 Fluid mechanics (76-XX) 119 \(K\)-theory (19-XX) 115 Integral transforms, operational calculus (44-XX) 106 Integral equations (45-XX) 94 General algebraic systems (08-XX) 88 Numerical analysis (65-XX) 86 Computer science (68-XX) 79 Mechanics of particles and systems (70-XX) 76 Difference and functional equations (39-XX) 73 Statistical mechanics, structure of matter (82-XX) 58 Sequences, series, summability (40-XX) 57 Biology and other natural sciences (92-XX) 51 Operations research, mathematical programming (90-XX) 47 Systems theory; control (93-XX) 40 Mechanics of deformable solids (74-XX) 38 Statistics (62-XX) 35 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 32 Information and communication theory, circuits (94-XX) 26 Optics, electromagnetic theory (78-XX) 19 Classical thermodynamics, heat transfer (80-XX) 15 Relativity and gravitational theory (83-XX) 8 General and overarching topics; collections (00-XX) 6 Geophysics (86-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 16,475 Publications have been cited 253,221 times in 177,663 Documents Cited by ▼ Year ▼ Theory of reproducing kernels. Zbl 0037.20701Aronszajn, N. 1,365 1950 Viscosity solutions of Hamilton-Jacobi equations. Zbl 0599.35024Crandall, Michael G.; Lions, Pierre-Louis 861 1983 Weighted norm inequalities for the Hardy maximal function. Zbl 0236.26016Muckenhoupt, Benjamin 804 1972 A class of nonharmonic Fourier series. Zbl 0049.32401Duffin, R. J.; Schaeffer, A. C. 750 1952 Algebraic analysis of many valued logics. Zbl 0084.00704Chang, C. C. 598 1958 Curvature measures. Zbl 0089.38402Federer, Herbert 496 1959 On the numerical solution of heat conduction problems in two and three space variables. Zbl 0070.35401Douglas, Jim jun.; Rachford, H. H. jun. 479 1956 On the maximality of sums of nonlinear monotone operators. Zbl 0222.47017Rockafellar, R. T. 474 1970 Homotopy associativity of \(H\)-spaces. I, II. Zbl 0114.39402Stasheff, James D. 470 1963 Topologies on spaces of subsets. Zbl 0043.37902Michael, Ernest 466 1951 Finitistic dimension and a homological generalization of semiprimary rings. Zbl 0094.02201Bass, Hyman 459 1960 Topological entropy. Zbl 0127.13102Adler, R. L.; Konheim, Allan G.; McAndrew, M. H. 453 1965 Generalized gradients and applications. Zbl 0307.26012Clarke, Frank H. 425 1975 Entropy for group endomorphisms and homogeneous spaces. Zbl 0212.29201Bowen, R. 397 1971 Some properties of viscosity solutions of Hamilton-Jacobi equations. Zbl 0543.35011Crandall, M. G.; Evans, L. C.; Lions, Pierre-Louis 394 1984 Multiresolution approximations and wavelet orthonormal bases of \(L^ 2(\mathbb R)\). Zbl 0686.42018Mallat, Stephane G. 391 1989 On explosions of solutions to a system of partial differential equations modelling chemotaxis. Zbl 0746.35002Jäger, W.; Luckhaus, S. 389 1992 On the spectrum of \(C_ 0\)-semigroups. Zbl 0572.47030Prüss, Jan 372 1984 Manifolds of negative curvature. Zbl 0191.52002Bishop, R. L.; O’Neill, B. 366 1969 Differential-difference operators associated to reflection groups. Zbl 0652.33004Dunkl, Charles F. 366 1989 Complex analytic connections in fibre bundles. Zbl 0078.16002Atiyah, Michael F. 343 1957 Decidability of second-order theories and automata on infinite trees. Zbl 0221.02031Rabin, Michael O. 340 1969 On the volume elements on a manifold. Zbl 0141.19407Moser, Jürgen 339 1965 Abstract functional differential equations and reaction-diffusion systems. Zbl 0722.35046Martin, R. H. jun.; Smith, H. L. 338 1990 On the solutions of quasi-linear elliptic partial differential equations. Zbl 0018.40501Morrey, Charles B. jun. 329 1938 Instability and nonexistence of global solutions to nonlinear wave equations of the form \(Pu_{tt}=-A u+ {\mathfrak F} (u)\). Zbl 0288.35003Levine, Howard A. 327 1974 Fixed point theorems for mappings satisfying inwardness conditions. Zbl 0305.47029Caristi, James 319 1976 A comparison of various definitions of contractive mappings. Zbl 0365.54023Rhoades, B. E. 319 1977 Analytic extensions of differentiable functions defined in closed sets. JFM 60.0217.01Whitney, H. 312 1934 The Brezis-Nirenberg result for the fractional Laplacian. Zbl 1323.35202Servadei, Raffaella; Valdinoci, Enrico 309 2015 Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents. Zbl 0956.35056Ghoussoub, N.; Yuan, C. 305 2000 Lifting idempotents and exchange rings. Zbl 0352.16006Nicholson, W. K. 305 1977 On the solutions of quasilinear elliptic partial differential equations. JFM 64.0460.02Morrey, C. B. jun. 305 1938 On the well-posedness of the Kirchhoff string. Zbl 0858.35083Arosio, Alberto; Panizzi, Stefano 302 1996 Tilted algebras. Zbl 0503.16024Happel, Dieter; Ringel, Claus Michael 300 1982 Generalized interpolation in \(H^\infty\). Zbl 0145.39303Sarason, Donald 297 1967 Dirac manifolds. Zbl 0850.70212Courant, Theodore James 294 1990 Weighted norm inequalities for the conjugate function and Hilbert transform. Zbl 0262.44004Hunt, Richard; Muckenhoupt, Benjamin; Wheeden, Richard 293 1973 On lacunary trigonometric series. JFM 58.0280.01Zygmund, A. 285 1932 Convergence rates in the law of large numbers. Zbl 0142.14802Baum, L. E.; Katz, Melvin 284 1965 Prime ideal structure in commutative rings. Zbl 0184.29401Hochster, M. 277 1969 Functions of vanishing mean oscillation. Zbl 0319.42006Sarason, Donald 274 1975 Homological algebra of a complete intersection, with an application to group representations. Zbl 0444.13006Eisenbud, David 273 1980 Weighted norm inequalities for fractional integrals. Zbl 0289.26010Muckenhoupt, Benjamin; Wheeden, Richard L. 269 1974 Noncommuting random products. Zbl 0203.19102Furstenberg, H. 268 1963 On the existence of invariant measures for piecewise monotonic transformations. Zbl 0298.28015Lasota, A.; Yorke, James A. 268 1974 The theory of representations for Boolean algebras. Zbl 0014.34002Stone, M. H. 261 1936 Direct products of modules. Zbl 0100.26602Chase, Stephen U. 259 1961 Ergodic equivalence relations, cohomology, and von Neumann algebras. I. Zbl 0369.22009Feldman, Jacob; Moore, Calvin C. 259 1977 Orbits of families of vector fields and integrability of distributions. Zbl 0274.58002Sussmann, Hector J. 257 1973 Applications of the theory of Boolean rings to general topology. Zbl 0017.13502Stone, M. H. 255 1937 Functors of Artin rings. Zbl 0167.49503Schlessinger, M. 255 1968 Symmetric functional-differential equations and neural networks with memory. Zbl 0905.34034Wu, Jianhong 252 1998 Analytic extensions of differentiable functions defined in closed sets. Zbl 0008.24902Whitney, Hassler 249 1934 The Brauer group of a commutative ring. Zbl 0100.26304Auslander, Maurice; Goldman, Oscar 249 1961 Cohomology theory of Lie groups and Lie algebras. Zbl 0031.24803Chevalley, Claude; Eilenberg, Samuel 243 1948 Existence and stability for partial functional differential equations. Zbl 0299.35085Travis, C. C.; Webb, G. F. 243 1974 \(W^{2,p}\)-solvability of the Dirichlet problem for nondivergence elliptic equations with VMO coefficients. Zbl 0818.35023Chiarenza, Filippo; Frasca, Michele; Longo, Placido 241 1993 Compact composition operators on the Bloch space. Zbl 0826.47023Madigan, Kevin; Matheson, Alec 240 1995 Interpolation of linear operators. Zbl 0072.32402Stein, Elias M. 239 1956 A combinatorial lemma and its application to probability theory. Zbl 0071.13003Spitzer, Frank 238 1956 On commutators of singular integrals and bilinear singular integrals. Zbl 0324.44005Coifman, R. R.; Meyer, Yves 233 1975 Inductive limits of finite dimensional C\(^*\)-algebras. Zbl 0264.46057Bratteli, Ola 233 1972 Existence of groundstates for a class of nonlinear Choquard equations. Zbl 1325.35052Moroz, Vitaly; van Schaftingen, Jean 231 2015 Symmetric random walks on groups. Zbl 0092.33503Kesten, Harry 231 1959 Multiplicity of solutions for elliptic problems with critical exponent or with a nonsymmetric term. Zbl 0729.35051Garcia Azorero, J.; Peral Alonso, I. 223 1991 Measures of chaos and a spectral decomposition of dynamical systems on the interval. Zbl 0812.58062Schweizer, B.; Smítal, J. 220 1994 Remarks on classical invariant theory. Zbl 0674.15021Howe, Roger 219 1989 Semi-inner-product spaces. Zbl 0102.32701Lumer, G. 218 1961 Koszul resolutions. Zbl 0261.18016Priddy, Stewart B. 218 1970 Commuting traces of biadditive mappings, commutativity-preserving mappings and Lie mappings. Zbl 0791.16028Brešar, Matej 217 1993 Rings of real-valued continuous functions. I. Zbl 0032.28603Hewitt, Edwin 215 1948 Shellable and Cohen-Macaulay partially ordered sets. Zbl 0441.06002Björner, Anders 215 1980 Local differentiability of distance functions. Zbl 0960.49018Poliquin, R. A.; Rockafellar, R. T.; Thibault, L. 212 2000 Nonlinear elliptic boundary value problems for equations with rapidly (or slowly) increasing coefficients. Zbl 0239.35045Gossez, Jean-Pierre 209 1974 Overpartitions. Zbl 1040.11072Corteel, Sylvie; Lovejoy, Jeremy 209 2004 Inner product modules over B\(^*\)-algebras. Zbl 0239.46062Paschke, William L. 206 1973 Properties of fixed-point sets of nonexpansive mappings in Banach spaces. Zbl 0265.47043Bruck, Ronald E. jun. 206 1973 Quivers with relations arising from clusters (\(A_n\) case). Zbl 1137.16020Caldero, P.; Chapoton, F.; Schiffler, R. 202 2006 On the functions of Littlewood-Paley, Lusin and Marcinkiewicz. Zbl 0105.05104Stein, Elias M. 202 1961 The characters of the finite general linear groups. Zbl 0068.25605Green, James A. 201 1955 Orthogonality and linear functionals in normed linear spaces. Zbl 0037.08001James, Robert C. 201 1947 Finitely, additive measures. Zbl 0046.05401Yosida, Kôsaku; Hewitt, Edwin 201 1952 Immersions of manifolds. Zbl 0113.17202Hirsch, M. W. 201 1959 An invariant of regular isotopy. Zbl 0763.57004Kauffman, Louis H. 200 1990 On the Walsh functions. Zbl 0036.03604Fine, N. J. 199 1949 Symmetric measures on Cartesian products. Zbl 0066.29604Hewitt, Edwin; Savage, Leonard J. 198 1955 Uniformly convex spaces. JFM 62.0460.04Clarkson, J. A. 197 1936 Complex symmetric operators and applications. Zbl 1087.30031Garcia, Stephan Ramon; Putinar, Mihai 197 2006 Tauberian theorems and stability of one-parameter semigroups. Zbl 0652.47022Arendt, W.; Batty, C. J. K. 196 1988 Quandle cohomology and state-sum invariants of knotted curves and surfaces. Zbl 1028.57003Carter, J. Scott; Jelsovsky, Daniel; Kamada, Seiichi; Langford, Laurel; Saito, Masahico 193 2003 Variational problems with two phases and their free boundary. Zbl 0844.35137Alt, Hans Wilhelm; Caffarelli, Luis A.; Friedman, Avner 191 1984 A new proof of the completeness of the Łukasiewicz axioms. Zbl 0093.01104Chang, C. C. 191 1959 Prescribing curvature on compact surfaces with conical singularities. Zbl 0724.53023Troyanov, Marc 189 1991 Uniformly convex spaces. Zbl 0015.35604Clarkson, James A. 188 1936 Some theorems on stable processes. Zbl 0107.12401Blumenthal, R. M.; Getoor, R. K. 188 1960 Metric spaces and positive definite functions. Zbl 0019.41502Schoenberg, I. J. 183 1938 Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions. Zbl 1062.37077Ma, Wen-Xiu; You, Yuncheng 183 2005 Vector bundles and projective modules. Zbl 0109.41601Swan, R. G. 183 1962 A theorem on planar graphs. Zbl 0070.18403Tutte, W. T. 182 1956 Scattering for the cubic Schrödinger equation in 3D with randomized radial initial data. Zbl 07618832Camps, Nicolas 1 2023 Character sheaves for symmetric pairs: special linear groups. Zbl 07641738Vilonen, Kari; Xue, Ting 1 2023 Asymptotics of singular values for quantum derivatives. Zbl 07655327Frank, Rupert L.; Sukochev, Fedor; Zanin, Dmitriy 1 2023 On the regularity theory for mixed local and nonlocal quasilinear elliptic equations. 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Zbl 1465.11166Badziahin, Dmitry; Schleischitz, Johannes 6 2021 ...and 1373 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 94,195 Authors 240 Llibre, Jaume 209 Yang, Dachun 169 Shelah, Saharon 143 Papageorgiou, Nikolaos S. 126 Biswas, Indranil 121 Jørgensen, Palle E. 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