Nonlinear functional analysis is a branch of mathematical analysis that deals with nonlinear mappings. Its subject matter includes:: 1–2 generalizations...
1 KB (87 words) - 07:18, 13 May 2024
a functional had previously been introduced in 1887 by the Italian mathematician and physicist Vito Volterra. The theory of nonlinear functionals was...
20 KB (2,496 words) - 22:48, 26 September 2024
Louis Nirenberg (section Nonlinear functional analysis)
simplified by Takaaki Nishida and used in an analysis of the Boltzmann equation. Making use of his work on fully nonlinear elliptic equations[N53a], Nirenberg's...
62 KB (5,007 words) - 12:31, 15 March 2024
Infinite-dimensional holomorphy (redirect from Analytic functional)
generally), typically of infinite dimension. It is one aspect of nonlinear functional analysis. A first step in extending the theory of holomorphic functions...
9 KB (1,358 words) - 16:52, 18 July 2024
mathematics, Tonelli's theorem in functional analysis is a fundamental result on the weak lower semicontinuity of nonlinear functionals on Lp spaces. As such, it...
2 KB (246 words) - 15:44, 18 June 2024
the calculus of variations and much of nonlinear analysis and nonlinear functional analysis. Let V {\displaystyle V} and W {\displaystyle W} be normed vector...
23 KB (4,690 words) - 07:04, 19 May 2024
Functional data analysis (FDA) is a branch of statistics that analyses data providing information about curves, surfaces or anything else varying over...
47 KB (6,678 words) - 15:51, 23 September 2024
Chicago. She does research in real analysis, geometric measure theory, and geometric nonlinear functional analysis. She proved the equivalence of the...
4 KB (333 words) - 18:30, 6 November 2023
statistics, nonlinear regression is a form of regression analysis in which observational data are modeled by a function which is a nonlinear combination...
10 KB (1,394 words) - 02:15, 28 March 2024
ISBN 978-0-387-95373-1 Ciarlet, Philippe G. (2013), Linear and Nonlinear Functional Analysis with Applications, Society for Industrial and Applied Mathematics...
25 KB (3,187 words) - 10:11, 23 August 2024
Stanisław Mazur (category Functional analysts)
important contributions to geometrical methods in linear and nonlinear functional analysis and to the study of Banach algebras. He was also interested...
4 KB (261 words) - 07:08, 8 November 2023
or evolutionary). His analysis of these problems combines fine methods at the interplay between nonlinear functional analysis, critical point theory...
9 KB (813 words) - 16:56, 27 October 2024
voltage, e.g. a diode. Nonlinear functional analysis is a branch of Mathematical Analysis that deals with nonlinear mappings. Nonlinear optics, in physics...
3 KB (503 words) - 05:53, 8 May 2024
a Soviet and Russian mathematician renowned for his work on nonlinear functional analysis and its applications. Mark Krasnoselsky was born in Starokostiantyniv...
12 KB (1,122 words) - 00:35, 30 April 2024
Felix Browder (category Functional analysts)
2016) was an American mathematician known for his work in nonlinear functional analysis. He received the National Medal of Science in 1999 and was President...
10 KB (854 words) - 00:49, 13 October 2024
Response modeling methodology (category Nonlinear functional analysis)
methodology (RMM) is a general platform for statistical modeling of a linear/nonlinear relationship between a response variable (dependent variable) and a linear...
24 KB (3,347 words) - 18:09, 19 February 2024
Banach manifold (category Nonlinear functional analysis)
Addison-Wesley Publishing Co., Inc. Zeidler, Eberhard (1997). Nonlinear functional analysis and its Applications. Vol.4. Springer-Verlag New York Inc....
9 KB (1,441 words) - 15:36, 16 February 2024
Delta-convergence (category Nonlinear functional analysis)
S. Solimini, C. Tintarev, On weak convergence in metric spaces, Nonlinear Analysis and Optimization (B. S. Mordukhovich, S. Reich, A. J. Zaslavski, Editors)...
4 KB (542 words) - 19:21, 13 September 2021
ISBN 978-1-84628-369-7 Benyamini, Yoav; Lindenstrauss, Joram (2000). Geometric Nonlinear Functional Analysis. American Mathematical Society. p. 11. ISBN 0-8218-0835-4. Burago...
18 KB (2,629 words) - 05:53, 7 October 2024
Joram Lindenstrauss (category Functional analysts)
of functional analysis and geometry, particularly Banach space theory, finite- and infinite-dimensional convexity, geometric nonlinear functional analysis...
6 KB (534 words) - 13:14, 31 October 2024
Multi-spectral phase coherence (category Nonlinear functional analysis)
introduced by Yang and colleagues in 2016. MSPC can be used to quantify nonlinear phase coupling between a set of base frequencies and their harmonic/intermodulation...
2 KB (330 words) - 17:39, 18 June 2024
Kantorovich theorem (category Functional analysis)
Berlin: Springer. ISBN 3-540-21099-7. Zeidler, E. (1985). Nonlinear Functional Analysis and its Applications: Part 1: Fixed-Point Theorems. New York:...
9 KB (1,474 words) - 17:57, 17 December 2023
1971. Benyamini, Yoav; Lindenstrauss, Joram (2000). Geometric nonlinear functional analysis. Colloquium publications. American Mathematical Society. Enflo...
9 KB (1,039 words) - 21:29, 28 January 2024
Solutions of Nonlinear Functional Equations. In 1990, he defended his doctoral thesis on the topic Some Issues of Nonlinear Functional Analysis and Their...
7 KB (742 words) - 10:32, 1 May 2024
His research specialties include the theory of Banach spaces, nonlinear functional analysis, and probability theory. He was born in Palo Alto, California...
3 KB (256 words) - 14:29, 28 January 2022
Philadelphia) is an American mathematician, specializing in nonlinear functional analysis and differential equations. Nussbaum graduated in 1965 with...
7 KB (712 words) - 23:54, 17 August 2023
Functional magnetic resonance imaging or functional MRI (fMRI) measures brain activity by detecting changes associated with blood flow. This technique...
109 KB (14,211 words) - 13:12, 1 October 2024
Banach bundle (category Nonlinear functional analysis)
In mathematics, a Banach bundle is a vector bundle each of whose fibres is a Banach space, i.e. a complete normed vector space, possibly of infinite dimension...
9 KB (1,287 words) - 22:59, 6 November 2021
Mathematical Society. Felix Browder was renowned in the field of nonlinear functional analysis—a branch of mathematics with wide applications to such fields...
70 KB (6,689 words) - 09:02, 11 October 2024
Cocompact embedding (category Nonlinear functional analysis)
compactification of the nonlinear Schrödinger equation and applications, New York J. Math. 15 (2009), 265–282. C. Tintarev, Concentration analysis and compactness...
5 KB (760 words) - 17:34, 2 June 2017