Serie di Fourier e altre rappresentazioni analitiche delle funzioni di una variabile reale
E877688
"Serie di Fourier e altre rappresentazioni analitiche delle funzioni di una variabile reale" is a classic mathematical treatise by Ulisse Dini on Fourier series and related analytic methods for representing real-valued functions.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Serie di Fourier e altre rappresentazioni analitiche delle funzioni di una variabile reale canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T10660069 — 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: Serie di Fourier e altre rappresentazioni analitiche delle funzioni di una variabile reale Context triple: [Ulisse Dini, hasWork, Serie di Fourier e altre rappresentazioni analitiche delle funzioni di una variabile reale]
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A.
Über die Darstellbarkeit einer Funktion durch eine trigonometrische Reihe
Über die Darstellbarkeit einer Funktion durch eine trigonometrische Reihe is Bernhard Riemann’s seminal 1854 paper that laid foundational ideas for Fourier series and modern real analysis, including the concept now known as the Riemann integral.
-
B.
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.
-
C.
Fourier series
A Fourier series is a way of representing a periodic function as an infinite sum of sines and cosines with appropriately chosen coefficients.
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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.
-
E.
Théorie des fonctions analytiques
Théorie des fonctions analytiques is a foundational mathematical treatise by Joseph-Louis Lagrange that systematically develops calculus using power series and analytic functions instead of geometric or infinitesimal arguments.
- 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: Serie di Fourier e altre rappresentazioni analitiche delle funzioni di una variabile reale Target entity description: "Serie di Fourier e altre rappresentazioni analitiche delle funzioni di una variabile reale" is a classic mathematical treatise by Ulisse Dini on Fourier series and related analytic methods for representing real-valued functions.
-
A.
Über die Darstellbarkeit einer Funktion durch eine trigonometrische Reihe
Über die Darstellbarkeit einer Funktion durch eine trigonometrische Reihe is Bernhard Riemann’s seminal 1854 paper that laid foundational ideas for Fourier series and modern real analysis, including the concept now known as the Riemann integral.
-
B.
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.
-
C.
Fourier series
A Fourier series is a way of representing a periodic function as an infinite sum of sines and cosines with appropriately chosen coefficients.
-
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.
Théorie des fonctions analytiques
Théorie des fonctions analytiques is a foundational mathematical treatise by Joseph-Louis Lagrange that systematically develops calculus using power series and analytic functions instead of geometric or infinitesimal arguments.
- F. None of above. chosen
Statements (25)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
mathematical treatise ⓘ |
| author | Ulisse Dini NERFINISHED ⓘ |
| contributedTo | development of rigorous Fourier analysis ⓘ |
| countryOfOrigin | Italy ⓘ |
| field |
Fourier analysis
ⓘ
mathematical analysis ⓘ |
| focusesOn |
analytic properties of real functions
ⓘ
convergence of Fourier series ⓘ representation of functions by trigonometric series ⓘ series expansions of functions ⓘ |
| hasSubject |
function theory on the real line
ⓘ
orthogonal expansions ⓘ real analysis ⓘ trigonometric series ⓘ |
| language | Italian ⓘ |
| mainTopic |
Fourier series
NERFINISHED
ⓘ
analytic representation of functions ⓘ real-valued functions ⓘ |
| notableFor |
rigorous treatment of Fourier series for real functions
ⓘ
systematic study of analytic representations of real-valued functions ⓘ |
| originalTitle | Serie di Fourier e altre rappresentazioni analitiche delle funzioni di una variabile reale NERFINISHED ⓘ |
| title | Serie di Fourier e altre rappresentazioni analitiche delle funzioni di una variabile reale NERFINISHED ⓘ |
| usedIn |
advanced courses in mathematical analysis
ⓘ
historical studies of Fourier series ⓘ |
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: Serie di Fourier e altre rappresentazioni analitiche delle funzioni di una variabile reale Description of subject: "Serie di Fourier e altre rappresentazioni analitiche delle funzioni di una variabile reale" is a classic mathematical treatise by Ulisse Dini on Fourier series and related analytic methods for representing real-valued functions.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.
Ulisse Dini
→
hasWork
→
Serie di Fourier e altre rappresentazioni analitiche delle funzioni di una variabile reale
ⓘ