Ten Lectures on Wavelets
E323537
Ten Lectures on Wavelets is a foundational monograph by Ingrid Daubechies that systematically introduces the theory and applications of wavelets in mathematics and signal processing.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Ten Lectures on Wavelets canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T3064589 — 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: Ten Lectures on Wavelets Context triple: [Ingrid Daubechies, notableWork, Ten Lectures on Wavelets]
-
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.
Three regularity results in harmonic analysis
"Three regularity results in harmonic analysis" is the doctoral thesis of mathematician Terence Tao, focusing on advanced problems in harmonic analysis and the study of regularity properties of functions and operators.
-
C.
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.
-
D.
Kailath factorization in linear systems
Kailath factorization in linear systems is a matrix factorization technique used in control and signal processing to efficiently analyze and solve linear dynamical systems.
-
E.
Ingrid Daubechies
Ingrid Daubechies is a Belgian physicist and mathematician renowned for her pioneering work in wavelet theory and its applications to signal processing, image compression, and data analysis.
- 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: Ten Lectures on Wavelets Target entity description: Ten Lectures on Wavelets is a foundational monograph by Ingrid Daubechies that systematically introduces the theory and applications of wavelets in mathematics and signal processing.
-
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.
Three regularity results in harmonic analysis
"Three regularity results in harmonic analysis" is the doctoral thesis of mathematician Terence Tao, focusing on advanced problems in harmonic analysis and the study of regularity properties of functions and operators.
-
C.
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.
-
D.
Kailath factorization in linear systems
Kailath factorization in linear systems is a matrix factorization technique used in control and signal processing to efficiently analyze and solve linear dynamical systems.
-
E.
Ingrid Daubechies
Ingrid Daubechies is a Belgian physicist and mathematician renowned for her pioneering work in wavelet theory and its applications to signal processing, image compression, and data analysis.
- F. None of above. chosen
Statements (46)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
monograph ⓘ |
| author | Ingrid Daubechies ⓘ |
| basedOn | CBMS-NSF Regional Conference Series in Applied Mathematics lectures ⓘ |
| contains |
applications of wavelets
ⓘ
examples ⓘ mathematical proofs ⓘ |
| countryOfPublication |
United States of America
ⓘ
surface form:
United States
|
| describedAs | foundational monograph on wavelets ⓘ |
| field |
mathematics
ⓘ
signal processing ⓘ wavelet theory ⓘ |
| hasFormat |
PDF
ⓘ
print ⓘ |
| influencedField |
applied mathematics
ⓘ
engineering ⓘ image processing ⓘ signal processing ⓘ |
| language | English ⓘ |
| notableFor |
bridging theory and applications of wavelets
ⓘ
rigorous mathematical treatment of wavelets ⓘ systematic introduction to wavelet theory ⓘ |
| publicationYear | 1992 ⓘ |
| publisher |
SIAM
ⓘ
SIAM ⓘ
surface form:
Society for Industrial and Applied Mathematics
|
| relatedTo |
Daubechies wavelets
ⓘ
multiresolution analysis framework ⓘ wavelet transform ⓘ |
| series |
CBMS-NSF Regional Conference Series in Applied Mathematics lectures
ⓘ
surface form:
CBMS-NSF Regional Conference Series in Applied Mathematics
|
| subject |
Fourier analysis
ⓘ
approximation theory ⓘ data compression ⓘ filter banks ⓘ image compression ⓘ multiresolution analysis ⓘ numerical analysis ⓘ orthonormal bases ⓘ signal analysis ⓘ signal decomposition ⓘ time-frequency analysis ⓘ wavelets ⓘ |
| targetAudience |
graduate students
ⓘ
researchers ⓘ |
| usedAs |
graduate textbook
ⓘ
reference work on wavelets ⓘ |
| volumeNumber | 61 ⓘ |
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: Ten Lectures on Wavelets Description of subject: Ten Lectures on Wavelets is a foundational monograph by Ingrid Daubechies that systematically introduces the theory and applications of wavelets in mathematics and signal processing.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.