We characterize several classes of test functions, among them Björck′s ultra‐rapidly decaying functions and the Gelfand‐Shilov spaces type S , in terms decay their short‐time Fourier transform Gabor coefficients.

The Schwartz space of rapidly decaying test functions is characterized by the decay short-time Fourier transform or cross-Wigner distribution. Then a version Hardy's theorem proved for and Wigner

Elektrolytische Beizversuche an unlegiertem Eisenblech in Schwefelsäure: Einfluß von Oberflächenbeschaffenheit, Stromstärke, Säurekonzentration, eines Zusatzes Hydridbildnern oder Kadmium‐, Kupfer‐, Silber‐, Nickel‐, Quecksilber‐, Kobalt‐, Zink‐ und Zinnsalzen sowie dünner elektrolytisch abgeschiedener Metallüberzüge auf die Wasserstoffdurchlässigkeit. Vergleichsversuche mit Blechen aus einigen Nichteisenmetallen. Kathodisches Beizen Salzsäure, Essigsäure Natronlauge. Allgemeine...

Let G be a simple graph on n vertices and let L=L(G) the Laplacian matrix of corresponding to some ordering vertices. It is known that λ≤n for any eigenvalue λ L. In this note we characterize when an L with multiplicity m.

Recently, stochastic applications of large-scale applied simulation models agricultural markets have become more frequent. However, modeling with large market comes high computational and management costs for data storage, analysis manipulation. Gaussian Quadratures (GQ), are efficient sampling methods requiring few points to approximate the central moments joint probability distribution variables therefore reduce costs. For symmetric regions integration, vertices Stroud's n-octahedron...

This note describes a new Banach space ℬ0 of square integrable functions on ℝd having many interesting invariance properties. In fact, the Fourier transform, time-frequency shifts, and L2-normalized dilations act isometrically it. For its definition, we make use general construction principle for minimal invariant spaces. We demonstrate variety properties following immediately from this principle. Furthermore, give number different characterizations, including various atomic decompositions,...

The problem of automatically detecting a leading vehicle in the process starting off and deriving model for further tracking is addressed. Very little knowledge about appearance utilized. Motion information main cue selecting image structures belonging to vehicle. An edge derived from two independent, complementary motion-estimation processes that cross-validate each other. suitability aggregated recognition precision motion estimation are demonstrated by means an sequence consisting 130 TV...

A market mechanism is basically driven by a superposition of decisions many agents optimizing their profit. The macroeconomic price dynamic consequence the cumulated excess demand/supply created on this micro level. behavior analysis small number well understood through game theory. In case large one may use limiting that an individual agent does not have influence market, which allows aggregation statistic methods. contrast to restriction, we can omit assumption atomic structure, if model...