Triple
T12597251
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Poisson summation formula |
E300764
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | theorem in harmonic analysis |
C716
|
CONCEPT FINISHED |
How this triple was built (1 step)
Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.
CD
Concept disambiguation
gpt-5-mini-2025-08-07
Target class: theorem in harmonic analysis Context triple: [Poisson summation formula, instanceOf, theorem in harmonic analysis]
-
A.
area of harmonic analysis
An area of harmonic analysis is a branch of mathematics focused on representing functions or signals as superpositions of basic waves and studying the properties of these representations.
-
B.
functional analysis result
A functional analysis result is a formal conclusion or theorem that characterizes the behavior, structure, or properties of functions and operators on infinite-dimensional spaces, typically within the framework of normed, Banach, or Hilbert spaces.
-
C.
mathematical theorem
chosen
A mathematical theorem is a rigorously proven statement derived from axioms and previously established results, expressing a fundamental truth within a formal mathematical system.
-
D.
foundational work in functional analysis
Foundational work in functional analysis establishes the core concepts, theorems, and structures—such as normed spaces, Banach and Hilbert spaces, operators, and spectral theory—that underpin the rigorous study of infinite-dimensional linear systems and their applications.
-
E.
tempered distribution
A tempered distribution is a continuous linear functional on the Schwartz space of rapidly decreasing smooth test functions, generalizing functions and allowing the Fourier transform to be extended to a broad class of generalized functions.
- F. None of above.
Provenance (1 batch)
The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.
| Step | Stage | Batch ID | Status | When |
|---|---|---|---|---|
| creating | Elicitation | batch_69d7bdea2ca881908f379526c13b1145 |
completed | April 9, 2026, 2:55 p.m. |
Created at: April 9, 2026, 5:08 p.m.