Hecke–Clifford algebras and spin Hecke algebras III: The trigonometric type

The notions of trigonometric spin double affine Hecke algebras (tsDaHa) and trigonometric double affine Hecke–Clifford algebras (tDaHCa) associated to classical Weyl groups are introduced. The PBW basis property is established. An algebra isomorphism relating tDaHCa to tsDaHa is obtained.