Gustav Ferdinand Mehler

Gustav Mie: the person.

About 25 years ago, when I became acquainted with the name Gustav Mie, I was unable to find an entry for him in such major encyclopedias as the Britannica or even in several listings of famous scientists [T. I. Williams, A Biographical Sketch of Scientists (Wiley, New York, 1967); J. Turkevich and L. Turkevich, Prominent Scientists of Continental Europe (Elsevier, New York, 1968)]. This puzzled...

Ferdinand Sauerbruch: Pioneer Thoracic Surgeon.

-Species and the -Mehler Formula

In this paper, we present a bijective proof of the -Mehler formula. The proof is in the same style as Foata’s proof of the Mehler formula. Since Foata’s proof was extended to show the Kibble-Slepian formula, a very general multilinear extension of the Mehler formula, we hope that the proof provided in this paper helps find some multilinear extension of the -Mehler formula. The basic idea to obt...

Symphony # 9 by Gustav Mahler

The recording of Gustav Mahler’s Ninth Symphony you are going to hear today was made during performance in Vienna on January 16, 1938, almost exactly thirty years ago. Bruno Walter conducted the Vienna Philharmonic Orchestra. The recording was published on 78 rpm disks and thus filled 20 sides. Numerous rather intricate procedures of splicing were used by Carl Volkers in his attempt to provide ...

Generalized Mehler semigroups and applications

We construct and study generalized Mehler semigroups (pt)t≥0 and their associated Markov processes M. The construction methods for (pt)t≥0 are based on some new purely functional analytic results implying, in particular, that any strongly continuous semigroup on a Hilbert space H can be extended to some larger Hilbert space E, with the embedding H ⊂ E being Hilbert-Schmidt. The same analytic ex...