title: Bivariate fractal interpolation functions on rectangular domains
abstract: Non-tensor product bivariate fractal interpolation functions defined on gridded rectangular domains are constructed. Linear spaces consisting of these functions are introduced. The relevant Lagrange interpolation problem is discussed. A negative result about the existence of affine fractal interpolation functions defined on such domains is obtained
keyphrases: bivariate fractal interpolation functions rectangular domains gridded rectangular domains linear spaces Lagrange interpolation problem affine fractal interpolation functions