Mathematical Reviews

From WolfWikis

Searchable via MathSciNet.

Available in print at QA1 .M3, 6th floor, DH Hill Library. (Note: we no longer receive current print editions.)

From the published work: "First published in 1940, expert reviewers are selected by a staff of professional mathematicians to write reviews of the current published literature." Reviews are presented along with summaries and paper information.

A typical review:

"The remarkable paper under review provides a characterization of the image under the Fourier transform of the spherical smooth functions on a reductive symmetric space, thereby solving a conjecture raised by the present authors in an earlier paper \ref[Ann. of Math. (2) 145 (1997), no. 2, 267--364; MR1441878 (99e:22021)]." (MR2259247,van den Ban, E. P.(NL-UTRE-MI); Schlichtkrull, H.(DK-CPNH-MI) A Paley-Wiener theorem for reductive symmetric spaces. (English summary) Ann. of Math. (2) 164 (2006), no. 3, 879--909.)

An amusing review:

"It is hard to imagine in a single paper such an accumulation of garbled English, unfinished sentences, undefined notions and notations, and mathematical nonsense. The author has apparently read a large number of books and papers on the subject, if one looks at his bibliography; but it is doubtful that he has understood any of them. He speaks blithely of elements of a formal group and claims to prove (!) that two formal groups having the same Lie algebra are isomorphic. One also hears of root systems of a commutative formal group, and of the union of its Borel subgroups, which belongs to the Lie algebra, etc. What is amazing to the reviewer is that such a thing was ever printed." (MR0429922 (55 #2931) Hsu, Kuang Yau. On decomposition of certain formal groups. Tamkang J. Math. 6 (1975), 69--78.)