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Upper Triassic continental strata in the United States contain rare horizons which yield pollen assemblages. The Dockum Group and Chinle Formation of the American Southwest, as well as certain rock units within the Deep River, Richmond, and Taylorsville Basins of the Newark Group, contain palynomorphs which exhibit stratigraphically restricted ranges in Europe. The presence of Vallasporites ignacii, Camerosporites secatus and Ovalipollis ovalis in the Dockum Group, Chinle Formation, Cumnock Formation of the Deep River Basin, Vinita Formation of the Richmond Basin, and unnamed units in the Taylorsville Basin suggest that all these units are approximately contemporaneous. The occurrence of these and other stratigraphically diagnostic pollen taxa, particularly Patinasporites densus, further indicates a Middle to Late Karnian age for these units. The palynostratigraphy also implies that the Pekin Formation of the Deep River Basin is slightly older than the above mentioned units.

Introduction. Let H denote a real separable Hilbert space and let 1

exists as a bounded operator on L(H) as o tends to zero and p tends to infinity. A theorem of this type extends the Calderon-Zygmund theory of singular integral operators on En to infinite dimensions. For if fc(#)||x||-" is a Calderon-Zygmund kernel and if £ is a bounded Borel set which is disjoint from a neighborhood of the origin then v{E) =fEk(x)\\x\\~ dx satisfies v(tE) = v(E) for £>0; if g(x) is an integrable radial function on En with support in a bounded annulus disjoint from a neighborhood of the origin, then fEng(x)k(x)\\x\\~ dx = 0. When fx satisfies a smoothness condition and n(H) = 0 , the set function v(E) —fâ[i{E/i)dt/t has these properties. The results in this paper are taken from the author's Cornell doctoral dissertation. The author wishes to express his most hearty thanks to his thesis advisor Professor Leonard Gross for his interest, advice, and encouragement during the preparation of the thesis.

Introduction. Let 1

Recently R. Wheeden studied a class of singular integral operators, the hypersingular integrals, as operators from L p α ( H ) L_p^\alpha (H) to L p ( H ) ; L p α ( H ) {L_p}(H);L_p^\alpha (H) is the range of the α \alpha th order Bessel potential operator acting on L p ( H ) {L_p}(H) with the inherited norm. The purposes of the present paper are to extend the known results on hypersingular integrals to complex indices, to extend these results to operators defined over a real separable Hilbert space, and to use Komatsu’s theory of fractional powers of operators to show that the hypersingular integral operator G α {G^\alpha } is ∫ H ( − A y ) α f d μ ( y ) {\smallint _H}{( - {A_y})^\alpha }f\,d\mu (y) when Im ⁡ ( α ) ≠ 0 \operatorname {Im}(\alpha ) \ne 0 or when ℜ ( α ) \Re (\alpha ) is not a positive integer where A y g {A_y}g is the derivative of g in the direction y. The case where Im ⁡ ( α ) = 0 \operatorname {Im} (\alpha ) = 0 and ℜ ( α ) \Re (\alpha ) is a positive integer is treated in a sequel to the present paper.

An algorithm for assigning storage on the basis of EQUIVALENCE, DIMENSION and COMMON declarations is presented. The algorithm is based on a tree structure, and has reduced computation time by 40 percent over a previously published algorithm by identifying all equivalence classes with one scan of the EQUIVALENCE declarations. The method is applicable in any problem in which it is necessary to identify equivalence classes, given the element pairs defining the equivalence relation.

B. S., a white maIe age fifty, was admitted to the Maimonides HospitaI on December 4, 1947. He stated that about four hours prior to admission he stepped from his bath, went to stoo1, was frightened whiIe pIaying with his dog, causing him to faI1 from the toiIet seat onto a gIass of the type used for oId fashioned cocktaiIs which was on the floor nearby. The gIass entered the rectum. The patient was a we11 nourished individua1 in exceIIent physica condition but in obvious distress. BIood pressure, puIse and respirations were within norma Iimits. The bIadder was emptied of 1,000 cc. of cIear urine which upon microscopic examination was not unusua1. Prior to his admission the patient had taken a Iarge dose of castor oil and now compIained of severe abdomina1 cramps, tenderness in the Iower abdomen and moderate distention, Under spina anesthesia of 150 mg. of procaine the examining surgeon was abie to paIpate the rim of the gIass, but repeated attempts to remove it were unsuccessfu1, severa pieces being broken, resuIting in Iacerations of the recta1 mucosa. Packing was inserted to check hemorrhage. On the foIIowing day because of severe abdomina pain and marked abdomina1 distention, a coIostomy was performed through a Ieft Iower rectus muscIe spIitting incision, using a spina anesthetic of 150 mg. of procaine. The gIass couId be paIpated through the abdomen but couId not be moved. A Penrose drain was passed through the mesentery and the sigmoid coIon opened. A tube was inserted and hxed with a purse-string suture. CIosure of the abdomina1 waI1 was done in the usua1 manner. The operation occupied onehaIf hour. Prior to operation the patient was given 50,000 units of peniciIIin every three hours and streptomycin (2 gm. daiIy) in eight divided doses. This medication was continued. During the next week two unsuccessftd attempts were made on the ward to remove the gIass by recta1 manipuIation. MeanwhiIe the edema of the mucosa increased about the rim of the gIass and the area became very tender. Seven days after admission the patient was again operated upon under a spina anesthetic being given 150 mg. of procaine. A Iubricated vagina1 specuIum was inserted in the ana canal, the gIass exposed and a stee1 pIunger pIaced in the center of the gIass, which was then IiIIed with a quick-setting pIaster of paris and aIIowed to harden. When traction was appIied to this, the pIaster of paris moId came out but the gIass did not move. At this point a proctoIogic consuItation was obtained. A proctoscope was inserted into the rectum and thus into the gIass and the area inspected. There were some minor Iacerations and a Iarge edematous ring of mucosa, quite hemorrhagic, into which the remaining rim was embedded. The proctoscope was sIowIy withdrawn and the edematous ring ffattened with the edge of the scope. A snub-nosed Yeomans biopsy punch was carefuIIy inserted between the rim of the gIass and the edematous, somewhat ffattened mucosa1 ring, then pIaced under the thick rim of the gIass. By gentIe Ieverage aIong the rim of the gIass the vacuum was broken. The gIass became movabIe but further manipuIation and rotation was necessary to avoid any further Iaceration from the jagged broken edges. In order to avoid injury to the operator a CriIe retractor was shaped and pIaced in position between the gIass and the recta1 waI1 and the gIoved hand inserted behind the retractor. It was then possibIe to grasp the base of the gIass between the fingers. The gIass was rotated and carefuIIy extracted. A combination gauze pack was inserted against the previousIy infected Iacerations. The glass measured 8 cm. in Iength, 4 cm. in diameter at the bottom and 7 cm. in diameter at the open end. Two days Iater the rectum was again inspected and the ring of edematous mucosa found to be considerabIy reduced. The patient was referred to his surgeon and the coIostomy Iater cIosed.

Salicylazosulfapyridine (Azulfidine) is an azo compound of salicylic acid and sulfapyridine first introduced in 1942 by Svartz1for the treatment of ulcerative colitis. In the early clinical trials with this medicament hypersensitivity reactions, particularly drug fever and rash, were noted in about 5% of patients.2Five instances of leukopenia were observed but no cases of agranulocytosis or nephrolithiasis. Bargen,3Morrison,4and others5have also noted the usefulness of salicylazosulfapyridine and its low incidence of hematological complications. The first reported instance of agranulocytosis after the use of salicylazosulfapyridine was described by Levy in 1949.6His patient recovered from a complicating staphylococcic septicemia after treatment with penicillin. We are aware of only one other occurrence of agranulocytosis associated with administration of this drug.7In view of the extensive use of salicylazosulfapyridine in the treatment of patients with ulcerative colitis, the following case of agranulocytosis is