Lectures on Fourier Integrals
E613410
Lectures on Fourier Integrals is a classic mathematical monograph by Salomon Bochner that systematically develops the theory and applications of Fourier integrals and transforms.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Lectures on Fourier Integrals canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T6716289 — 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: Lectures on Fourier Integrals Context triple: [Salomon Bochner, notableWork, Lectures on Fourier Integrals]
-
A.
The Fourier Integral and Certain of Its Applications
The Fourier Integral and Certain of Its Applications is a foundational mathematical work by Norbert Wiener that develops and applies Fourier analysis to problems in harmonic analysis and related areas.
-
B.
Lectures on Cauchy’s problem in linear partial differential equations
"Lectures on Cauchy’s Problem in Linear Partial Differential Equations" is a classic mathematical treatise by Jacques Hadamard that systematically develops the theory of existence, uniqueness, and well-posedness for solutions to linear partial differential equations.
-
C.
Methods of Mathematical Physics
Methods of Mathematical Physics is a classic two-volume textbook by Richard Courant and David Hilbert that rigorously develops the mathematical foundations and techniques used in theoretical physics.
-
D.
Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals
"Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals" is a foundational graduate-level textbook by Elias Stein that systematically develops modern harmonic analysis using real-variable techniques, emphasizing singular integrals, Littlewood–Paley theory, and oscillatory integral methods.
-
E.
Generalized Functions (multi-volume series)
Generalized Functions (multi-volume series) is a foundational multi-volume work in functional analysis and distribution theory that systematically develops the theory of generalized functions and its applications to differential equations and mathematical physics.
- 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: Lectures on Fourier Integrals Target entity description: Lectures on Fourier Integrals is a classic mathematical monograph by Salomon Bochner that systematically develops the theory and applications of Fourier integrals and transforms.
-
A.
The Fourier Integral and Certain of Its Applications
The Fourier Integral and Certain of Its Applications is a foundational mathematical work by Norbert Wiener that develops and applies Fourier analysis to problems in harmonic analysis and related areas.
-
B.
Lectures on Cauchy’s problem in linear partial differential equations
"Lectures on Cauchy’s Problem in Linear Partial Differential Equations" is a classic mathematical treatise by Jacques Hadamard that systematically develops the theory of existence, uniqueness, and well-posedness for solutions to linear partial differential equations.
-
C.
Methods of Mathematical Physics
Methods of Mathematical Physics is a classic two-volume textbook by Richard Courant and David Hilbert that rigorously develops the mathematical foundations and techniques used in theoretical physics.
-
D.
Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals
"Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals" is a foundational graduate-level textbook by Elias Stein that systematically develops modern harmonic analysis using real-variable techniques, emphasizing singular integrals, Littlewood–Paley theory, and oscillatory integral methods.
-
E.
Generalized Functions (multi-volume series)
Generalized Functions (multi-volume series) is a foundational multi-volume work in functional analysis and distribution theory that systematically develops the theory of generalized functions and its applications to differential equations and mathematical physics.
- F. None of above. chosen
Statements (30)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
mathematical monograph ⓘ |
| academicDiscipline |
analysis
ⓘ
functional analysis ⓘ |
| author | Salomon Bochner NERFINISHED ⓘ |
| basedOn | lectures by Salomon Bochner ⓘ |
| citationStyle | Bochner, S. Lectures on Fourier Integrals. Princeton University Press. ⓘ |
| countryOfPublication |
United States of America
ⓘ
surface form:
United States
|
| field | mathematics ⓘ |
| firstPublicationYear | 1959 ⓘ |
| hasPart |
Paley–Wiener type theorems
NERFINISHED
ⓘ
Plancherel theorem NERFINISHED ⓘ Tauberian theorems NERFINISHED ⓘ applications of Fourier transforms ⓘ applications to partial differential equations ⓘ convergence of Fourier integrals ⓘ distribution theory aspects ⓘ theory of Fourier integrals ⓘ |
| influenced | modern treatments of Fourier analysis ⓘ |
| intendedAudience |
graduate students in mathematics
ⓘ
researchers in harmonic analysis ⓘ |
| language | English ⓘ |
| notableFor |
rigorous treatment of Fourier transform theory
ⓘ
systematic development of Fourier integrals ⓘ |
| publicationPlace | Princeton NERFINISHED ⓘ |
| publisher | Princeton University Press NERFINISHED ⓘ |
| series | Annals of Mathematics Studies NERFINISHED ⓘ |
| subfield | harmonic analysis ⓘ |
| topic |
Fourier integrals
ⓘ
Fourier transforms ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Lectures on Fourier Integrals Description of subject: Lectures on Fourier Integrals is a classic mathematical monograph by Salomon Bochner that systematically develops the theory and applications of Fourier integrals and transforms.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.