Nelson H. F. Beebe

Bio: Nelson H. F. Beebe is an academic researcher. The author has an hindex of 1, co-authored 1 publications receiving 171 citations.

A Complete Bibliography of Lecture Notes in Mathematics (1985{1989)

Abstract: (1 < p ≤ ∞) [LS87f]. (2) [HR88a]. (2m− 2) [KL88]. (A0, A1)θ1 [Xu87a]. (α, β) [Pie88a, Fin88a]. (d ≥ 1) [Wsc85a]. (λ) [DM85b]. (Z/2) [Car86b]. (nα) [Sch85h]. (φ)2 [BM89c]. (τ − λ)u = f [Wei87r]. (x, t) [Lum87, Lum89]. (X1 −X3, X2 −X3) [SW87]. 0 [Caz88, Kas86, Pro87]. 0 < p < 1 [Cle87]. 1 [Bak85a, DD85, Drm87, Eli88, FT88a, Gek86d, HN88, Kos86a, LT89, Pet89a, Pro87, Tan87, vdG89]. 1/4 [KS86e]. 1 ≤ q < 2 [Gue86]. 2 [BPPS87, Cam88, Cat85a, ES87b, Gan85e, Gol86a, HRL89g, Hei85, Hua86, Kan89, KB86, Li86, LT89, Mil87b, Mur85a, Qui85b, SP89, Shi85, Spe86, Wal85b, Wan86]. 2m− 2 [Kos88b]. 2m− 3 [Kos88b]. 2m− 4 [Kos88b]. 2× 2 [Vog88]. 3 [Aso89, BPPS87, BW85c, BG88b, Che86d, Fis86, Gab85, Gu87a, HLM85b, Kam89b, Kir89c, Lev85c, Mil85c, Néd86, Pet86, Ron86, Sch85b, ST88, Tur88b, Wan86, Wen85, tDP89, vdW86]. 4 [Bau88a, Don85a, FKV88, Kha88, Kir89l, SS86, Seg85b, Wal85b]. 5 [Ito89, Kir89e, SV85]. 5(4) [Cas86]. 5819539783680 [KSX87]. 6 [PH89, Žub88].

Commutative Banach Algebras

Abstract: This chapter contains the Gelfand theory of commutative Banach algebras. The Gelfand spectrum and the Gelfand transform are introduced and analysed. The results are illustrated by various examples. In particular, it is explained in detail how under the Gelfand transformation piecewise continuous functions become continuous. Special attention is paid to finitely generated commutative Banach algebras and to the Banach algebra generated by a compact operator. The last two sections present applications to factorization of matrix functions and to Wiener-Hopf integral operators. The analysis starts with a study of multiplicative linear functionals.

A Bibliography of Publications of Nelson H. F. Beebe

Abstract: This bibliography records publications of Nelson H. F. Beebe. Title word cross-reference #1 [68]. #2 [99, 184]. #3 [100, 186]. #4 [115, 192]. #5 [117, 195]. #6 [201]. #7 [210]. #8 [223]. 10 [49]. + [101, 109]. AΠ [101]. α [52]. Ax = λBx [61, 122]. C2O2 [57]. expm1(x) = exp(x)− 1 [732]. F (m, t) [172]. H2 [59]. He2 [105]. HF [59]. log1p(x) = log(1 + x) [733]. O2 [66]. O + 2 [66]. O 2 [66]. π [940]. X Σ [101]. 118 [263]. 18-Aug-80 [184, 186, 192, 195, 201]. 1964 [506]. 1969 [501, 1054, 507]. 1974 [509]. 1979 [502, 1056, 510]. 1984 [511]. 1989 [503, 1057, 512]. 1994 [513]. 1999 [504, 1058, 508]. 2 [407, 406]. 2.0 [262]. 2.00 [215]. 2.3a [230]. 2.3c [234]. 20 [134, 232, 237]. 20/60 [249, 248]. ’2000 [654]. ’2001 [717]. ’2002 [755]. ’2003 [756, 773]. ’2004 [836, 621]. ’2005 [837]. 2007 [859, 1105]. 2009 [922, 1059]. ’2011 [989]. ’2012 [1053]. 2019 [921, 1055]. 2311 [11, 26, 54]. 3 [138, 139, 218, 244]. 3.0 [262]. 3100 [254]. 3330 [39, 43, 54]. 360 [27]. 370 [39].

Probability and analysis : lectures given at the 1st 1985 Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held at Varenna (Como), Italy May 31-June 8, 1985

Abstract: Probability and geometry.- Martingales and Fourier analysis in Banach spaces.- Martingale theory : An analytical formulation with some applications in analysis.- Probabilistic methods in the geometry of Banach spaces.- Some remarks on integral operators and equimeasurable sets.- Cylinder measures, local bases and nuclearity.