For spatially dependent functional data, a generalized Karhunen-Lo\`{e}ve expansion is commonly used to decompose data into an additive form of temporal components and correlated coefficients. This structure provides convenient model investigate the space-time interactions, but may not hold for complex spatio-temporal processes. In this work, we introduce concept weak separability, propose form...

A novel method for testing the null hypothesis of no effect a covariate on response is proposed in functional linear concurrent regression. An equivalent random effects formulation regression model established under which problem reduces to zero variance component effects. For this purpose, one-sided score test approach used, an extension classical test. Theoretical justification provided as wh...