Three-Scale Gabor Receiver Architecture on a Fixed Nonseparable Lattice — Restricted Research Snapshot v0.1

This restricted research snapshot documents an exploratory three-scale, multiwindow Gabor receiver architecture on a fixed nonseparable lattice. The archive contains a working mathematical specification, reproducible Python verification scripts, quantitative frame and approximation estimates, a compact research-state receipt, and separately identified open proof obligations. The investigated architecture uses three smooth, compactly supported analysis windows with distinct scales. The current research establishes a framework for stable iterative reconstruction and compactly supported finite-order approximate synthesis, conditional on the documented analytical estimates. Exact one-pass reconstruction using three compactly supported dual synthesis windows remains an open research objective. The snapshot preserves the research state for further verification, independent mathematical review, and controlled development. It does not claim a solution to Gröchenig's historical open problems, independent peer review, or worldwide mathematical novelty. Research status: Internal working research · restricted files · no external theorem certification. RESTRICTED RESEARCH MATERIAL — CONFIDENTIAL EVALUATION ONLY Copyright © 2026 Alexanja Senke. All rights reserved. The files associated with this record contain unpublished and proprietary research material. No copyright license, patent license, know-how license, commercial license, sublicence, right of redistribution, or other exploitation right is granted by the creation of this Zenodo record, assignment of a DOI, submission or approval of an access request, or technical delivery of the files. Access may be granted only to a specifically identified person for the limited purpose of confidential scholarly, mathematical, technical, or due-diligence evaluation. Access is personal and non-transferable. Unless expressly authorized in a separate written agreement signed by the rights holder, the recipient may not reproduce, redistribute, publish, publicly disclose, transmit, sublicense, sell, commercially exploit, translate, adapt, create derivative materials from, incorporate into software or commercial systems, submit as training or evaluation material for machine-learning systems, or use the restricted contents as the basis for filing or asserting intellectual-property rights. Technical access through Zenodo does not constitute publication of the restricted files and does not waive confidentiality, copyright, trade-secret/know-how interests, or any other rights that may exist in the material. Access to the restricted files may be conditioned on execution of a separate Confidential Evaluation Agreement or non-disclosure agreement. Approval of a Zenodo access request constitutes technical access only and does not replace such an agreement. Public Zenodo metadata may be cited in the ordinary scholarly manner. Any quotation, reproduction, disclosure, or dissemination of material contained only in the restricted files requires separate authorization unless otherwise permitted by mandatory applicable law. All rights not expressly granted in a separate written agreement are reserved.