Sequential recommendation predicts users’ next interactions by modeling the dynamic evolution of their interests from historical behavior sequences. Given that long-term and short-term interests are intrinsically intertwined within these sequences, existing methods struggle to capture this complexity accurately, facing two key challenges: (i) inadequate decoupling, which causes dominant long-term interests to overshadow localized short-term interests; and (ii) uniform processing strategies, which ignore the distinct modeling requirements of long-term and short-term interests, failing to distinguish informative short-term interests from incidental noise. To address these challenges, we propose a new framework, Hierarchical Wavelet Decoupling Framework with Adaptive Gating for Sequential Recommendation (HiWaveRec), which enables differentiated modeling of long-term and short-term interests. Specifically, HiWaveRec applies a multi-level Discrete Wavelet Transform (DWT) to decouple interaction sequences into low-frequency long-term interests and multi-scale high-frequency short-term interests while preserving temporal locality. It then employs a heterogeneous dual-branch architecture, where Low-Frequency Self-Attention (LFSA) captures global dependencies in long-term interests and Causal Detail Gating (CDG) selectively amplifies informative short-term interests while suppressing noise. Finally, the processed sub-bands are fused through Inverse DWT(IDWT) to reconstruct a unified sequence representation. Experiments on four benchmark datasets demonstrate that HiWaveRec achieves competitive or superior performance compared with strong baselines. The source code is available here ( https://github.com/coderxxw/HiWaveRec ).