Fourier Analysis: An Introduction
E1511332
UNEXPLORED
"Fourier Analysis: An Introduction" is a foundational mathematics textbook by Elias M. Stein and Rami Shakarchi that presents the core ideas and techniques of Fourier series and Fourier transforms for advanced undergraduates and beginning graduate students.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Fourier Analysis: An Introduction canonical | 5 |
How this entity was disambiguated
This entity first appeared as the object of triple T21972928 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Fourier Analysis: An Introduction Context triple: [Functional Analysis: Introduction to Further Topics in Analysis, prequel, Fourier Analysis: An Introduction]
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A.
The Fourier Transform and Its Applications
The Fourier Transform and Its Applications is a classic textbook by Ronald N. Bracewell that introduces and develops Fourier analysis techniques for solving problems in engineering, physics, and applied mathematics.
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B.
Functional Analysis: Introduction to Further Topics in Analysis
"Functional Analysis: Introduction to Further Topics in Analysis" is an advanced graduate-level textbook by Elias Stein that develops modern functional analysis with applications to areas such as operator theory, harmonic analysis, and partial differential equations.
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C.
Fourier analysis
Fourier analysis is a mathematical method for decomposing functions or signals into sums of sinusoidal components, widely used in fields such as signal processing, physics, and engineering.
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D.
Lectures on Fourier Integrals
Lectures on Fourier Integrals is a classic mathematical monograph by Salomon Bochner that systematically develops the theory and applications of Fourier integrals and transforms.
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E.
Introduction to Abstract Harmonic Analysis
Introduction to Abstract Harmonic Analysis is a foundational graduate-level textbook that systematically develops the theory of harmonic analysis on topological groups and related abstract structures.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Fourier Analysis: An Introduction Target entity description: "Fourier Analysis: An Introduction" is a foundational mathematics textbook by Elias M. Stein and Rami Shakarchi that presents the core ideas and techniques of Fourier series and Fourier transforms for advanced undergraduates and beginning graduate students.
-
A.
The Fourier Transform and Its Applications
The Fourier Transform and Its Applications is a classic textbook by Ronald N. Bracewell that introduces and develops Fourier analysis techniques for solving problems in engineering, physics, and applied mathematics.
-
B.
Functional Analysis: Introduction to Further Topics in Analysis
"Functional Analysis: Introduction to Further Topics in Analysis" is an advanced graduate-level textbook by Elias Stein that develops modern functional analysis with applications to areas such as operator theory, harmonic analysis, and partial differential equations.
-
C.
Fourier analysis
Fourier analysis is a mathematical method for decomposing functions or signals into sums of sinusoidal components, widely used in fields such as signal processing, physics, and engineering.
-
D.
Lectures on Fourier Integrals
Lectures on Fourier Integrals is a classic mathematical monograph by Salomon Bochner that systematically develops the theory and applications of Fourier integrals and transforms.
-
E.
Introduction to Abstract Harmonic Analysis
Introduction to Abstract Harmonic Analysis is a foundational graduate-level textbook that systematically develops the theory of harmonic analysis on topological groups and related abstract structures.
- F. None of above. chosen
Referenced by (5)
Full triples — surface form annotated when it differs from this entity's canonical label.
Functional Analysis: Introduction to Further Topics in Analysis
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prequel
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Fourier Analysis: An Introduction
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Functional Analysis: Introduction to Further Topics in Analysis
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hasVolumeInSeries
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Fourier Analysis: An Introduction
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Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals
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relatedWork
→
Fourier Analysis: An Introduction
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