Pith Number

pith:2DNR76WQ

pith:2026:2DNR76WQX2T3CXXISPNH3I4XSI

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Duality for Delsarte's extremal problem on locally compact Abelian groups

B\'alint Farkas, Elena E. Berdysheva, Marcell Ga\'al, Mita D. Ramabulana, Szil\'ard Gy. R\'ev\'esz

The Delsarte extremal problem admits strong duality on locally compact Abelian groups

arxiv:2603.18287 v4 · 2026-03-18 · math.FA

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\pithnumber{2DNR76WQX2T3CXXISPNH3I4XSI}

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Record completeness

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4 Citations open

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Claims

C1strongest claim

Within this general setting, we derive the corresponding dual problem and prove a strong duality theorem, thereby unifying and extending earlier results.

C2weakest assumption

The extension of both the normalization and the objective functional to a wide range of previously studied cases while avoiding restrictive topological assumptions common in the literature.

C3one line summary

Strong duality is proved for a generalized Delsarte extremal problem on locally compact Abelian groups, unifying prior results for finite groups and R^d.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-29T01:05:07.379763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0db1ffad0bea7b15ee893da7da3979201b3663aa37e5c87dce3bec6c16280be

Aliases

arxiv: 2603.18287 · arxiv_version: 2603.18287v4 · doi: 10.48550/arxiv.2603.18287 · pith_short_12: 2DNR76WQX2T3 · pith_short_16: 2DNR76WQX2T3CXXI · pith_short_8: 2DNR76WQ

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/2DNR76WQX2T3CXXISPNH3I4XSI \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: d0db1ffad0bea7b15ee893da7da3979201b3663aa37e5c87dce3bec6c16280be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41db7661c0f5065141f41cc4219d0ba995bd62f91a6ac66685d32b33feccf287",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-03-18T21:18:32Z",
    "title_canon_sha256": "aea726ef9b401c91e0098d56490287f56eb1253ca9ad0eacc0d79aad68ffcc30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.18287",
    "kind": "arxiv",
    "version": 4
  }
}