An Introduction to the Circle Method of Hardy, Littlewood, and Ramanujan

Autor: Stephen Wainger

Publikováno v: The Journal of Geometric Analysis. 31:9113-9130

We discuss the number of lattice points with integer coordinates on the sphere of radius $$\lambda $$ and Vinogradov’s Theorem on the representation of integers as a sum of three primes.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4249f7e71fe76f71f53f8701ffd3afc4
https://doi.org/10.1007/s12220-020-00579-9

Dilations associated to flat curves

Autor: Stephen Wainger

Publikováno v: Recercat. Dipósit de la Recerca de Catalunya
instname
Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Publicacions Matemàtiques; Vol. 35, Núm. 1 (1991); p. 251-257
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona

I would like to give an exposition of the recent work of Tony Carbery, Mike Christ, Jim Vance, David Watson and myself concerning Hilbert transforms and Maximal functions along curves in R2 [CCVWW].

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a09f4d7e000dc4b3d36925497475c9bb
http://hdl.handle.net/2072/387588

Elias M. Stein (1931–2018)

Autor: Stephen Wainger, Anthony W. Knapp, Christopher D. Sogge, William Beckner, Carlos E. Kenig, Vickie Kearn, Alexander Nagel, Loredana Lanzani, Terence Tao, Fulvio Ricci, Harold Widom, Linda Rothschild, Rami Shakarchi, Lillian B. Pierce, Alexandru D. Ionescu, Steven G. Krantz, Karen Stein, Duong Phong, Galia Dafni, Charles Fefferman, Jeremy Stein

Publikováno v: Notices of the American Mathematical Society. 68:1

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::947c9f3bb64c7586f6c535e4ea3cc004
https://doi.org/10.1090/noti2264

Algebras of Singular Integral Operators with Kernels Controlled by Multiple Norms

Autor: Alexander Nagel, Fulvio Ricci, Elias Stein, Stephen Wainger

Publikováno v: Memoirs of the American Mathematical Society. 256

The purpose of this paper is to study algebras of singular integral operators on $\mathbb{R}^{n}$ and nilpotent Lie groups that arise when one considers the composition of Calder\'on-Zygmund operators with different homogeneities, such as operators t

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1378eb1a1c03b074ba4390f8eda563ed
https://doi.org/10.1090/memo/1230

Singular integrals with flag kernels on homogeneous groups, I

Autor: Stephen Wainger, Fulvio Ricci, Elias M. Stein, Alexander Nagel

Publikováno v: Revista Matemática Iberoamericana. 28:631-722

Let $\mathcal K$ be a flag kernel on a homogeneous nilpotent Lie group $G$. We prove that operators $T$ of the form $T(f)= f*\mathcal K$ form an algebra under composition, and that such operators are bounded on $L^{p}(G)$ for $1
Comment: 92 page

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bb037eb47584b3d3dcca90e1080dde85
https://doi.org/10.4171/rmi/688