Generalized interpolation in $H\sp{\infty }$
نویسندگان
چکیده
منابع مشابه
Generalized interpolation in CASL
In this paper we consider the partial many-sorted first-order logic and its extension to the subsorted partial many-sorted first-order logic that underly the Casl specification formalism. First we present counterexamples showing that the generalization of the Craig Interpolation Property does not hold for these logics in general (i.e., with respect to arbitrary signature morphisms). Then we for...
متن کاملGeneralized Recursive Multivariate Interpolation
A generalized recursive interpolation technique for a set of linear functionals over a set of general univariate basis functions has been previously developed. This paper extends these results to restricted multivariate interpolation over a set of general multivariate basis functions. When the data array is a suitable configuration (e.g., an ^-dimensional simplex), minimal degree multivariate i...
متن کاملGeneralized Interpolation Theorems
(Note that the Craig interpolation theorem is the special case of Chang's theorem in which Q19,.., Qn are all universal quantifiers.) Chang also raised the question [2, Remark (k)] as to whether the Lopez-Escobar interpolation theorem [6] for the infinitary language L.1. possesses a similar generalization. In this paper, we show that the answer to Chang's question is affirmative and, moreover, ...
متن کاملGeneralized Interpolation in Decision Tree LM
In the face of sparsity, statistical models are often interpolated with lower order (backoff) models, particularly in Language Modeling. In this paper, we argue that there is a relation between the higher order and the backoff model that must be satisfied in order for the interpolation to be effective. We show that in n-gram models, the relation is trivially held, but in models that allow arbit...
متن کاملBitangential Interpolation in Generalized Schur Classes
Bitangential interpolation problems in the class of matrix valued functions in the generalized Schur class are considered in both the open unit disc and the open right half plane, including problems in which the solutions is not assumed to be holomorphic at the interpolation points. Linear fractional representations of the set of solutions to these problems are presented for invertible and sing...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1967
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1967-0208383-8