Zobrazeno 1 - 10
of 185
pro vyhledávání: '"Anthony W. Knapp"'
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
Autor:
Anthony W. Knapp
This chapter proves a first version of the Spectral Theorem and shows how it applies to complete the analysis in Sturm’s Theorem of Section I.3. Section 1 introduces compact linear operators from a Hilbert space into itself and characterizes them a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1a40b2aed5b860ed402d1f42a3abd399
https://doi.org/10.3792/euclid/9781429799911-2
https://doi.org/10.3792/euclid/9781429799911-2
Autor:
Anthony W. Knapp
This chapter investigates several ways that groups play a role in real analysis. For the most part the groups in question have a locally compact Hausdorff topology. Section 1 introduces topological groups, their quotient spaces, and continuous group
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::953f62a8b077936cba057500695be1dd
https://doi.org/10.3792/euclid/9781429799911-6
https://doi.org/10.3792/euclid/9781429799911-6
Autor:
Anthony W. Knapp
This chapter introduces the relatively recent subject of wavelets, which is an outgrowth of Fourier analysis in mathematics and signal processing in engineering. Except in one case, construction of examples of wavelets tends to be difficult. Much of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5f54c808e40584538849519383dfd090
https://doi.org/10.3792/euclid/9781429799911-10
https://doi.org/10.3792/euclid/9781429799911-10
Autor:
Anthony W. Knapp
This chapter explains how the theory of pseudodifferential operators extends from open subsets of Euclidean space to smooth manifolds, and it gives examples to illustrate the usefulness of generalizing the theory in this way. Section 1 gives a brief
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::70de882a2a82ddde211595c7b05ae565
https://doi.org/10.3792/euclid/9781429799911-8
https://doi.org/10.3792/euclid/9781429799911-8
Autor:
Anthony W. Knapp
This chapter pursues three lines of investigation in the subject of functional analysis—one involving smooth functions and distributions, one involving fixed-point theorems, and one involving spectral theory. Section 1 introduces topological vector
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1102c4eb6a4a557d3af38f60c00cb743
https://doi.org/10.3792/euclid/9781429799911-4
https://doi.org/10.3792/euclid/9781429799911-4
Autor:
Anthony W. Knapp
This chapter takes up several independent topics in Euclidean Fourier analysis, all having some bearing on the subject of partial differential equations. Section 1 elaborates on the relationship between the Fourier transform and the Schwartz space, t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::88e2f0c9120d1a7813f55656cdb3b30d
https://doi.org/10.3792/euclid/9781429799911-3
https://doi.org/10.3792/euclid/9781429799911-3
Autor:
Anthony W. Knapp
This chapter introduces probability theory as a system of models, based on measure theory, of some real-world phenomena. The models are measure spaces of total measure 1 and usually have certain distinguished measurable functions defined on them. Sec
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6779562c7ab05b45aa29ba0e7eabf80f
https://doi.org/10.3792/euclid/9781429799911-9
https://doi.org/10.3792/euclid/9781429799911-9
Autor:
Anthony W. Knapp
This chapter applies the theory of linear ordinary differential equations to certain boundary-value problems for partial differential equations. Section 1 briefly introduces some notation and defines the three partial differential equations of princi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9f5e300e07a3816731f39bdc48cbe136
https://doi.org/10.3792/euclid/9781429799911-1
https://doi.org/10.3792/euclid/9781429799911-1